- Call for papers for the International Conference on Neutrosophic Information, Sydney, Australia, 18-20 May 2020, organized by the World Academy of Science / Engineering and Technology, https://waset.org/neutrosophic-information-theory-conference-in-may-2020-in-sydney

- Call for papers for the International Conference on Trends in Neutrosophic Theory, April 27-28, 2020, in Jerusalem, Israel, organized by the World Academy of Science / Engineering and Technology, https://waset.org/trends-in-neutrosophic-theory-conference-in-april-2020-in-jerusalem

- Invitation to submit Book chapters on Quadruple Neutrosophic Theories and Applications, Edited by Prof. Dr. Florentin Smarandache and Prof. Dr. Memet Sahin, Dr. Vakkas Ulucay and Dr. Abdullah Kargın, by email, to smarand@unm.edu and mesahin@gantep.edu.tr. Submission deadline: 15th March 2021. Book Template: http://fs.unm.edu/NeutrosophicBookTemplate.doc.

- Invitation to submit Book chapters on Neutrosophic Theory, called Neutrosophic Sets in Decision Analysis and Operations Research, Edited by Prof. Dr. Florentin Smarandache and Dr. Mohamed Abdel-Basset by email, to fsmarandache@gmail.com and analyst_mohamed@yahoo.com.
For more details please visit this link : https://easychair.org/cfp/777_Neutrosophic_Sets_in_DS_OR
** LaTEX files cannot be accepted only Microsoft Word format.
** References within each chapter must be in APA style.
**The Chapters should be new research and applications on Neutrosophic Sets in Decision Analysis and Operations Research.

- Invitation to submit Elsevier book chapters on neutrosophic & plithogenic optimizations, called Optimization Theory Based on Neutrosophic and Plithogenic Sets, edited by Prof. Dr. Florentin Smarandache and Dr. Mohamed Abdel-Baset by email, to fsmarandache@gmail.com and analyst_mohamed@yahoo.com.
The papers should be new research and applications on Neutrosophic and Plithogenic Optimization.
Please check these sites:
Neutrosophic theories and applications http://fs.unm.edu/neutrosophy.htm
and Plithogeny, Plithogenic Set, Logic, Probability, and Statistics http://fs.unm.edu/P/
arXiv.org (Cornell University), Computer Science - Artificial Intelligence, 03Bxx:
Book: https://arxiv.org/ftp/arxiv/papers/1808/1808.03948.pdf
Harvard SAO/NASA ADS: http://adsabs.harvard.edu/cgi-bin/bib_query?arXiv:1808.03948
Article: Plithogenic Set, an Extension of Crisp, Fuzzy, Intuitionistic Fuzzy, and Neutrosophic Sets � Revisited, Neutrosophic Sets Syst, vol. 21, 2018, pp. 153-166, http://fs.unm.edu/NSS/PlithogenicSetAnExtensionOfCrisp.pdf
Deadline: 31 July 2019.

- Call for Papers on special issue New Challenges in Neutrosophic Theory and Applications at Mathematics journal (Scopus, SCIE - Web of Science), MDPI, deadline: 31 May 2020, https://www.mdpi.com/journal/mathematics/special_issues/New_Challenges_Neutrosophic_Theory_Applications

- Call for Papers on special issue New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications at the journal Symmetry (Basel, Switzerland, in Scopus, IF: 1.256): https://www.mdpi.com/journal/symmetry/special_issues/Neutrosophic_Set_Logic_Probability

- Call for neutrosophic papers for The 3rd International Conference On Current Scenario in Pure and Applied Mathematics Conference, 30th to 31st January 2020, Kongunadu Arts and Science College (Autonomous), Coimbatore, Tamil Nadu, India, Website: https://sites.google.com/view/iccspam2020/home, Contact person: Dr. M. Venkatachalam. Accepted papers from Advanced studies in Neutrosophy, Neutrosophic set, Neutrosophic logic, Neutrosophic probability , Neutrosophic statistics, etc. and their applications in any field will be published in Neutrosophic Sets and Systems (NSS). Deadline for abstracts/proposals: 20th December 2019. https://conferencealerts.com/show-event?id=222114

- Call for papers for 2019 International Conference on Data Intelligence and Neutrosophic Sets with Applications (DI-NSA 2019), Organizer Prof. Dr. Xiaohong Zhang (张小红 <zxhonghz@263.net>), Shaanxi University of Science and Technology, Xi'an, China, 20 - 22 December 2019.

- Call for Papers on special issue Neutrosophic Decision Making and Applications in Knowledge Management', at IET CAAI Transactions on Intelligence Technology international journal [ https://digital-library.theiet.org/files/IET_CAAI_CFP_NDMA.pdf ], Guest Editor:  Dr. Harish Garg, Thapar Institute of Engineering & Technology, India, Email: harishg58iitr@gmail.com, submission website: https://digital-library.theiet.org/content/journals/trit, Deadline: 20 February 2020. All the papers are available online immediately once accepted. CAAI Transactions on Intelligence Technology has been accepted for indexing in Scopus.

 

NEUTROSOPHY, NEUTROSOPHIC LOGIC, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY AND STATISTICS

(philosophy, mathematics, science)

---

Short Definitions of Neutrosophics:   

    1. Neutrosophic Logic is a general framework for unification of many existing logics, such as fuzzy logic (especially intuitionistic fuzzy logic), paraconsistent logic, intuitionistic logic, etc.  The main idea of NL is to characterize each logical statement in a 3D Neutrosophic Space, where each dimension of the space represents respectively the truth (T), the falsehood (F), and the indeterminacy (I) of the statement under consideration, where T, I, F are standard or non-standard real subsets of ]^-0, 1⁺[ with not necessarily any connection between them.

For software engineering proposals the classical unit interval [0, 1] is used.

For single valued Neutrosophic logic, the sum of the components is:

0 ≤ t+i+f ≤ 3 when all three components are independent;

0 ≤ t+i+f ≤ 2 when two components are dependent, while the third one is independent from them;

0 ≤ t+i+f ≤ 1 when all three components are dependent.

When three or two of the components T, I, F are independent, one leaves room for incomplete information (sum < 1), paraconsistent and contradictory information (sum > 1), or complete information (sum = 1). 

If all three components T, I, F are dependent, then similarly one leaves room for incomplete information (sum < 1), or complete information (sum = 1). 

See this paper on Independent/Dependent Neutrosophic Components.

In general, the sum of two components x and y that vary in the unitary interval [0, 1] is: 0 ≤ x+y ≤ 2-d(x,y), where d(x,y) is the degree of dependence between x and y, while 1-d(x,y) is the degree of independence between x and y.

In a general Refined Neutrosophic Set (Logic, Probability), T can be split into subcomponents T₁, T₂, ..., T_p, and I into I₁, I₂, ..., I_r, and F into F₁, F₂, ...,F_s, where p+r+s = n ≥ 1.  Even more: T, I, and/or F (or any of their subcomponents T_j, I_k, and/or F_l) can be countable or uncountable infinite sets:
n-ValuedNeutrosophicLogic-PiP.pdf .

As a particular case, one can split the Indeterminate I into Contradiction (true and false), and Uncertainty (true or false), and we get an extension of Belnap's four-valued logic. Even more, one can split I into Contradiction, Uncertainty, and Unknown, and we get a five-valued logic. See this most general published case here.

As an example: a statement can be between [0.4, 0.6] true, {0.1} or between (0.15,0.25) indeterminate, and either 0.4 or 0.6 false.

    The Neutrosophic Set was extended [Smarandache, 2007] to Neutrosophic Overset (when some Neutrosophic component is > 1), since we observed that, for example, an employee working overtime deserves a degree of membership > 1, with respect to an employee that only works regular full-time and whose degree of membership = 1;

and to Neutrosophic Underset (when some Neutrosophic component is < 0), since, for example, an employee making more damage than benefit to his company deserves a degree of membership < 0, with respect to an employee that produces benefit to the company and has the degree of membership > 0;

and to and to Neutrosophic Offset (when some Neutrosophic components are off the interval [0, 1], i.e. some Neutrosophic component > 1 and some Neutrosophic component < 0).

Then, similarly, the Neutrosophic Logic/Measure/Probability/Statistics etc. were extended to respectively Neutrosophic Over-/Under-/Off- Logic, Measure, Probability, Statistics etc.

SVNeutrosophicOverset-JMI.pdf

IV-Neutrosophic-Overset-Underset-Offset.pdf

NSS/DegreesOf-Over-Under-Off-Membership.pdf

NeutrosophicOversetUndersetOffset.pdf

                    The distinctions between Neutrosophic Logic/Set and Intuitionistic Fuzzy Logic/Set are here.

    2. Neutrosophic Set.  Let U be a universe of discourse, and M a set included in U.  An element x from U is noted with respect to the set M as x(T, I, F) and belongs to M in the following way:  it is t% true in the set, i% indeterminate (unknown if it is) in the set, and f% false, where t varies in T, i varies in I, f varies in F.

Statically T, I, F are subsets, but dynamically T, I, F are functions/operators depending on many known or unknown parameters.

Neutrosophic Set is a Generalization of Intuitionistic Fuzzy Set, Inconsistent Intuitionistic Fuzzy Set (Picture Fuzzy Set, Ternary Fuzzy Set), Pythagorean Fuzzy Set (Atanassov�s Intuitionistic Fuzzy Set of second type), q-Rung Orthopair Fuzzy Set, Spherical Fuzzy Set, and n-HyperSpherical Fuzzy Set.

Neutrosophy, as a new branch of philosophy, has been also extended to Refined Neutrosophy, and consequently Neutrosophication was extended to Refined Neutrosophication. Whence, Regret Theory, Grey System Theory, and Three-Ways Decision are particular cases of Neutrosophication and of Neutrosophic Probability. We have further extended the Three-Ways Decision to n-Ways Decision, the last one is a particular case of Refined Neutrosophy.

Neutrosophic Set also generalizes the paraconsistent set, intuitionistic set, etc.

     3. Neutrosophic Probability is a generalization of the classical probability and imprecise probability in which the chance that an event A occurs is t% true - where t varies in the subset T, i% indeterminate - where i varies in the subset I, and f% false - where f varies in the subset F. 

In classical probability n_sup <= 1, while in Neutrosophic probability n_sup <= 3⁺.

In imprecise probability: the probability of an event is a subset T in [0, 1], not a number p in [0, 1], what’s left is supposed to be the opposite, subset F (also from the unit interval [0, 1]); there is no indeterminate subset I in imprecise probability.

                    A book on Introduction to Neutrosophic Probability is here.

    4. Neutrosophic Statistics deals with indeterminate date and indeterminate inference methods, and it is the analysis of events described by the Neutrosophic probability [ http://fs.unm.edu/NS/NeutrosophicStatistics.htm ].

The function that models the Neutrosophic probability of a random variable x is called Neutrosophic distribution: NP(x) = ( T(x), I(x), F(x) ), where T(x) represents the probability that value x occurs, F(x) represents the probability that value x does not occur, and I(x) represents the indeterminate / unknown probability of value x.

                    A book on Introduction to Neutrosophic Statistics is here.

    5. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of Neutralities, as well as their interactions with different ideational spectra.

    6. Indeterminacy (or Neutrality), as independent component from the truth and from the falsehood, is the main distinction between Neutrosophic Theories and other classical and fuzzy theory or fuzzy extension theories: http://fs.unm.edu/Indeterminacy.pdf

This theory considers every notion or idea <A> together with its opposite or negation <antiA> and with their spectrum of Neutralities <NeutA> in between them (i.e. notions or ideas supporting neither <A> nor <antiA>). The <NeutA> and <antiA> ideas together are referred to as <nonA>. Neutrosophy is a generalization of Yin-Yang Ancient Chinese Philosophy and of Hegel's and Marx's Dialectics (the last ones are based on <A> and <antiA> only).

According to this theory every idea <A> tends to be Neutralized and balanced by <antiA> and <nonA> ideas - as a state of equilibrium.

In a classical way <A>, <NeutA>, <antiA> are disjoint two by two.

But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that <A>, <NeutA>, <antiA> (and <nonA> of course) have common parts two by two, or even all three of them as well.

The Law of Included Middle [<A>, <nonA>, and a third value <T> which resolves their contradiction at another level of reality] is generalized to the Law of Included Multiple-Middle [<A>, <antiA>, and <NeutA>, where <NeutA> is split into a multitude of Neutralities between <A> and <antiA>, such as <Neut₁A>, <Neut₂A>, etc.]. The <NeutA> value (i.e. Neutrality or indeterminacy related to <A>) actually comprises the included middle value. Also the Principle of Dynamic Opposition [opposition between <A> and <antiA>] is extended to the Principle of Dynamic Neutrosophic Opposition [which means oppositions among <A>, <antiA>, and <NeutA>]. This book is here.
And the Law of Included Infinitely-Many-Middles [ https://fs.unm.edu/NSS/LawIncludedInfinitely1.pdf ].

Neutrosophy is the base of Neutrosophic logic, Neutrosophic set, Neutrosophic probability, and Neutrosophic statistics that are used in engineering applications (especially for software and information fusion), medicine, military, airspace, cybernetics, physics.

The Neutrosophics were introduced by Florentin Smarandache in 1995.

                    An article on Neutrosophy, A New Branch of Phylosophy is here.

THE MOST IMPORTANT PUBLICATIONS IN THE DEVELOPMENT OF NeutROSOPHICS
1995-1998 - Smarandache generalizes the Yin Yang and Dialectics to Neutrosophy                      as a new branch of philosophy: http://fs.unm.edu/Neutrosophy-A-New-Branch-of-Philosophy.pdf);                     introduces the Neutrosophic set/logic/probability/statistics;                     introduces the single-valued Neutrosophic Set (pp. 7-8); http://fs.unm.edu/eBook-Neutrosophics6.pdf (online edition) 1998 & 2019 - Nonstandard Neutrosophic Logic, Set, Probability https://arxiv.org/ftp/arxiv/papers/1903/1903.04558.pdf 2002 He introduces special types of sets / probabilities / statistics / logics, such as: -        intuitionistic set, paraconsistent set, faillibilist set, paradoxist set, pseudo-paradoxist set, tautological set, nihilist set, dialetheist set, trivialist set; -        intuitionistic probability and statistics, paraconsistent probability and statistics, faillibilist probability and statistics, paradoxist probability and statistics, pseudo-paradoxist probability and statistics, tautological probability and statistics, nihilist probability and statistics, dialetheist probability and statistics, trivialist probability and statistics; -        paradoxist logic (or paradoxism), pseudo-paradoxist logic (or pseudo-paradoxism), tautological logic (or tautologism); http://fs.unm.edu/DefinitionsDerivedFromNeutrosophics.pdf 2003 - introduction of Neutrosophic numbers (a+bI, where I = indeterminacy) 2003 - introduction of I-Neutrosophic algebraic structures 2003 - introduction to Neutrosophic Cognitive Maps http://fs.unm.edu/NCMs.pdf 2005 - introduction of Interval Neutrosophic Set/Logic http://fs.unm.edu/INSL.pdf 2006 - introduction of the Degree of Dependence and Degree of Independence between T, I, and F http://fs.unm.edu/eBook-Neutrosophics6.pdf (online edition) [p. 92] http://fs.unm.edu/NSS/DegreeOfDependenceAndIndependence.pdf 2007 - The Neutrosophic Set was extended [Smarandache, 2007] to Neutrosophic Overset (when some Neutrosophic component is > 1), and to Neutrosophic Underset (when some Neutrosophic component is < 0), and to and to Neutrosophic Offset (when some Neutrosophic components are off the interval [0, 1], i.e. some Neutrosophic component > 1 and some Neutrosophic component < 0). Then, similarly, the Neutrosophic Logic/Measure/Probability/Statistics etc. were extended to respectively Neutrosophic Over/Under/Off Logic, Measure, Probability, Statistics etc. http://fs.unm.edu/NSS/DegreesOf-Over-Under-Off-Membership.pdf http://fs.unm.edu/SVNeutrosophicOverset-JMI.pdf http://fs.unm.edu/IV-Neutrosophic-Overset-Underset-Offset.pdf http://fs.unm.edu/NeutrosophicOversetUndersetOffset.pdf   2007 - introduction of the Neutrosophic Tripolar Set and Neutrosophic Multipolar Set [Smarandache]             and consequently          - the Neutrosophic Tripolar Graph and Neutrosophic Multipolar Graph http://fs.unm.edu/eBook-Neutrosophics6.pdf (online edition) [p. 93] http://fs.unm.edu/IFS-generalized.pdf 2009 - introduction of N-norm and N-conorm http://fs.unm.edu/N-normN-conorm.pdf 2013 - development of Neutrosophic Probability:             (chance that an event occurs,  indeterminate chance of occurrence,  chance that the event does not occur). http://fs.unm.edu/NeutrosophicMeasureIntegralProbability.pdf 2013 - Smarandache refined the components (T, I, F) as (T1, T2, ...; I1, I2, ...; F1, F2, ...) http://fs.unm.edu/n-ValuedNeutrosophicLogic-PiP.pdf 2014 - introduction of the Law of Included Multiple-Middle (<A>; <neutA1>, <neutA2>, ..., <neutAk>; <antiA>) http://fs.unm.edu/LawIncludedMultiple-Middle.pdf 2014 - development of Neutrosophic Statistics (indeterminacy is introduced into classical statistics with respect to the sample/population, or with respect to the individuals that only partially belong to a sample/population, with respect to the probability distributions, with respect to statistical inference methods, etc.) [ http://fs.unm.edu/NS/NeutrosophicStatistics.htm ] http://fs.unm.edu/NeutrosophicStatistics.pdf 2015 - introduction of Neutrosophic Precalculus and Neutrosophic Calculus http://fs.unm.edu/NeutrosophicPrecalculusCalculus.pdf 2015 - Refined Neutrosophic Numbers (a+ b1I1 + b2I2 + ... + bnIn) 2015 - Neutrosophic Graphs 2015 - Thesis-Antithesis-Neutrothesis, and Neutrosynthesis, Neutrosophic Axiomatic System, Neutrosophic dynamic systems, symbolic Neutrosophic logic, (t, i, f)-Neutrosophic Structures, I-Neutrosophic Structures,  Refined Literal Indeterminacy, Quadruple Neutrosophic Algebraic Structures, Multiplication Law of Subindeterminacies:  http://fs.unm.edu/SymbolicNeutrosophicTheory.pdf 2015 - Introduction of the Subindeterminacies of the form (I0)n = k/0, for k ∈  {0, 1, 2, ..., n-1}, into the ring of modulo integers Zn - called natural neutrosophic indeterminacies (Vasantha-Smarandache) http://fs.unm.edu/MODNeutrosophicNumbers.pdf 2015 - Introduction of Neutrosophic Crisp Set <A, B, C> and Topology (Salama & Smarandache) http://fs.unm.edu/NeutrosophicCrispSetTheory.pdf 2016 - Neutrosophic Multisets (as generalization of classical multisets) http://fs.unm.edu/NeutrosophicMultisets.htm 2016 - Neutrosophic Triplet structures (F. Smarandache & M. Ali) and Neutrosophic Extended Triplet structures (Smarandache) http://fs.unm.edu/NeutrosophicTriplets.htm 2016 - Neutrosophic Duplet structures http://fs.unm.edu/NeutrosophicDuplets.htm   2017 - 2020 - Neutrosophic Score, Accuracy, and Certainty Functions form a total order relationship on the set of (single-valued, interval-valued, and in general subset-valued) neutrosophic triplets (T, I, F); and these functions are used in MCDM (Multi-Criteria Decision Making): http://fs.unm.edu/NSS/TheScoreAccuracyAndCertainty1.pdf 2017 - In biology Smarandache introduced the Theory of Neutrosophic Evolution: Degrees of Evolution, Indeterminacy or Neutrality, and Involution, http://fs.unm.edu/neutrosophic-evolution-PP-49-13.pdf 2017 - 2019 - Introduction by F. Smarandache of Plithogeny (generalization of Dialectics and Neutrosophy), and Plithogenic Set/Logic/Probability/Statistics  [ http://fs.unm.edu/P/ ], or Plithogenic Set / Plithogenic Logic as generalization of MultiVariate Logic / Plithogenic Probability and Plithogenic Statistics as generalizations of MultiVariate Probability and Statistics (as generalization of fuzzy, intuitionistic fuzzy, neutrosophic set/logic/probability/statistics) and Symbolic Plithogenic Algebraic Structures: https://arxiv.org/ftp/arxiv/papers/1808/1808.03948.pdf http://fs.unm.edu/Plithogeny.pdf 2018 - 2022 - Introduction of new types of soft sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, TreeSoft Set http://fs.unm.edu/TSS/ https://fs.unm.edu/NSS/ExtensionOfSoftSetToHypersoftSet.pdf 2018 - Introduction to Neutrosophic Psychology (Neutropsyche, Neutropsychic Personality, Eros / Aoristos / Thanatos, Refined Neutrosophic Memory: conscious, aconscious, unconscious, Neutropsychic Crisp Personality, Neutrosophic Body-Soul-Mind Functioning) http://fs.unm.edu/NeutropsychicPersonality-ed3.pdf 2019 - Theory of Spiral Neutrosophic Human Evolution (Smarandache - Vatuiu): http://fs.unm.edu/SpiralNeutrosophicEvolution.pdf 2019 - Introduction to Neutrosophic Sociology (Neutrosociology) [neutrosophic concept, or (T, I, F)-concept, is a concept that is T% true, I% indeterminate, and F% false] http://fs.unm.edu/Neutrosociology.pdf   2019 - Refined Neutrosophic Crisp Set http://fs.unm.edu/RefinedNeutrosophicCrispSet.pdf 2019-2022 - Introduction of new types of topologies: Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, NeutroTopology, AntiTopology, SuperHyperTopology, and Neutrosophic SuperHyperTopology: http://fs.unm.edu/NSS/NewTypesTopologies-Improved14.pdf http://fs.unm.edu/TT/   2019 - Generalization of the classical Algebraic Structures to NeutroAlgebraic Structures (or NeutroAlgebras)[whose operations and axioms are partially true, partially indeterminate, and partially false] and AntiAlgebraic Structures (or AntiAlgebras) [with operations and axioms totally false]: http://fs.unm.edu/NeutroAlgebra.htm   2019-2020 - Extension of HyperGraph to SuperHyperGraph http://fs.unm.edu/NSS/n-SuperHyperGraph-n-HyperAlgebra.pdf   2020 - Introduction to Neutrosophic Genetics: http://fs.unm.edu/NeutrosophicGenetics.pdf 2021 - As alternatives and generalizations of the Non-Euclidean Geometries, Smarandache introduced in 2021 the NeutroGeometry & AntiGeometry. While the Non-Euclidean Geometries resulted from the total negation of only one specific axiom (Euclid�s Fifth Postulate), the AntiGeometry results from the total negation of any axiom and even of more axioms from any geometric axiomatic system (Euclid�s, Hilbert�s, etc.), and the NeutroAxiom results from the partial negation of one or more axioms [and no total negation of no axiom] from any geometric axiomatic system ( http://fs.unm.edu/NG/ ): http://fs.unm.edu/NSS/NeutroGeometryAntiGeometry31.pdf   http://fs.unm.edu/NSS/ExamplesNeutroGeometryAntiGeometry35.pdf 2021 - Introduction of Plithogenic Logic as a generalization of MultiVariate Logic http://fs.unm.edu/NSS/IntroductionPlithogenicLogic1.pdf 2021 - Introduction of Plithogenic Probability and Statistics as generalizations of MultiVariate Probability and Statistics respectively http://fs.unm.edu/NSS/PlithogenicProbabilityStatistics20.pdf 2022 - SuperHyperAlgebra & Neutrosophic SuperHyperAlgebra http://fs.unm.edu/SuperHyperAlgebra.pdf 2022 - SuperHyperGraph, Neutrosophic SuperHyperGraph http://fs.unm.edu/NSS/n-SuperHyperGraph.pdf 2022 - SuperHyperFunction, SuperHyperTopology http://fs.unm.edu/NSS/SuperHyperFunction37.pdf 2022 - IndetermSoft Set, IndetermHyperSoft Set https://fs.unm.edu/TSS/NewTypesSoftSets-Improved.pdf http://fs.unm.edu/NSS/IndetermSoftIndetermHyperSoft38.pdf 2022 - TreeSoft Set http://fs.unm.edu/NSS/IndetermSoftSet-TreeSoftSet59.pdf 2023 - Symbolic Plithogenic Algebraic Structures built on the set of Symbolic Plithogenic Numbers of the form a0 + a1P1 + a2P2 + ... + anPn where the multiplication Pi�Pj is based on the prevalence order and absorbance law http://fs.unm.edu/NSS/SymbolicPlithogenicAlgebraic39.pdf 2023 - Foundation of Neutrosophic Cryptology (Merkepci-Abobala-Allouf) http://fs.unm.edu/NeutrosophicCryptography1.pdf http://fs.unm.edu/NeutrosophicCryptography2.pdf http://fs.unm.edu/NSS/2OnANovelSecurityScheme.pdf 1998 - 2023: Neutrosophic Applications in: Artificial Intelligence, Information Systems, Computer Science, Cybernetics, Theory Methods, Mathematical Algebraic Structures, Applied Mathematics, Automation, Control Systems, Big Data, Engineering, Electrical, Electronic, Philosophy, Social Science, Psychology, Biology, Genetics, Biomedical, Engineering, Medical Informatics, Operational Research, Management Science, Imaging Science, Photographic Technology, Instruments, Instrumentation, Physics, Optics, Economics, Mechanics, Neurosciences, Radiology Nuclear, Medicine, Medical Imaging, Interdisciplinary Applications, Multidisciplinary Sciences etc. [ Xindong Peng and Jingguo Dai, A bibliometric analysis of neutrosophic set: two decades review from 1998 to 2017, Artificial Intelligence Review, Springer, 18 August 2018; http://fs.unm.edu/BibliometricNeutrosophy.pdf ].

BOOKS ON NEUTROSOPHICS

 

	Neutrosophic Paradigms: Advancements in Decision Making and Statistical Analysis Neutrosophic Principles for Handling Uncertainty (Springer 2025) new
	Data-Driven Modelling with Fuzzy Sets A Neutrosophic Perspective (CRC Press, 2024) new
	Cognitive Intelligence with Neutrosophic Statistics in Bioinformatics (Elsevier, 2023) new
	Neutrosophic Operational Research (SPRINGER), 2021 new
	Optimization Theory Based on Neutrosophic and Plithogenic Sets (ELSEVIER), 2020 new
	New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations (MDPI Publisher, Switzerland) (soft copy, hard copy) new
	Neutrosophic Set in Medical Image Analysis (ELSEVIER), 2019
	النماذج الخطية النيتروسوفيكية وبعض الخوارزميات لإيجاد الحل الأمثل لها (Arabic) {Neutrosophic linear models and algorithms to find their optimal solution (English)}
	Neutrosophic Transport and Assignment Issues new
	مسائل%20النقل%20والتخصيص%20النيتروسوفيكية  حديث
	NeutroGeometry, NeutroAlgebra, and SuperHyperAlgebra in Today's World, IGI-Global, United States, 2023 new
	Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education, IGI Global, USA, 2023.
	Revolutionary Topologies and Their Applications, IGI Global USA, 2024, new
	Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras, IGI Global, USA new
	NeutroAlgebra Theory, Vol. I
	Advances of Standard and Nonstandard Neutrosophic Theories new
	Collected Papers (Vol. I, Vol. II, Vol. III, Vol. IV {Multispace & Multistructure. Neutrosophic Transdisciplinarity}, Vol. V, Vol. VI, Vol. VII, Vol. VIII, Vol. IX, Vol. X; Vol. XI; Vol. XII; Vol. XIII; Vol. XIV new)
	Neutrosophic Theories in Communication, Management and Information Technology (NOVA Publishers) new
	Introduction to Neutrosophic Sociology (Neutrosociology) new
	Evoluție Neutrosofică Umană �n Spirală sau Divinul este �n Om / Human Neutrosophic Evolution in Spiral or The Divine is in the Man, Ediție bilingvă rom�nă � engleză, Romanian � English bilingual edition new
	Neutropsychic Personality (A mathematical approach to psychology) [3rd edition] new
	Plithogeny, Plithogenic Set/logic/Probability/Statistics (extension of Neutrosophic Set/Logic/Probability/Statistics) new
	Neutrosophic Overset, Neutrosophic Underset, and Neutrosophic Offset. Similarly for Neutrosophic Over-/Under-/Off- Logic, Probability, and Statistics new
	فوق وتحت وخلف  المجموعة  النتروسوفيكي
	Neutrosophic Evolution as extension of Darwin�s Evolution: The Cave Case {pdf, pptx, video}
	Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability new
	مقدمة الى القياس النيتروسوفيك والتكامل النيتروسوفيك والاحتمال النيتروسوفيك الجديد
	Introduction to Neutrosophic Statistics new
	مقدمة في الإحصاء النيتروسوفيكي حديثا
	Neutrosophic Precalculus and Neutrosophic Calculus new
	مبادئ التفاضل والتكامل النيوتروسوفكي و حساب التفاضل والتكامل النيوتروسوفكي  حديثا
	علم النيتروسوفيك وتطبيقاته [Neutrosophic Science and its Applications]  الجديد new
	Symbolic Neutrosophic Theory new
	Law of Included Multiple-Middle & Principle of Dynamic Neutrosophic Opposition
	Neutrosophic Perspectives: Triplets, Duplets, Multisets, Hybrid Operators, Modal Logic, Hedge Algebras (2nd ed.) very new
	Neutrosophic Operational Research (Vol. 1, Vol. 2, Vol. 3 new)
	New Trends in Neutrosophic Theory and Applications (Vol. 1, Vol. 2, Vol. 3)
	Neutrosophic Triplet Groups and their Applications to Mathematical Modeling new
	Complex Valued Graphs for Soft Computing
	Neutrosophic Triplet Structures
	Neutrosophic Duality new
	Neutrosophic Graphs: A New Dimension to Graph Theory
	Strong Neutrosophic Graphs and Subgraph Topological Spaces
	Beyond Neutrosophic Graphs
	Soft Neutrosophic Algebraic Structures and Their Generalization (Vol. 1, Vol. 2)
	New Research on Neutrosophic Algebraic Structures
	Neutrosophic Algebraic Structures and their Applications new
	Pseudo Lattice Graphs and their Applications to Fuzzy and Neutrosophic Models
	New Techniques to Analyse the Prediction of Fuzzy Models
	Algebraic Structures on Fuzzy Unit Square and Neutrosophic Unit Square
	Algebraic Structures on Real and Neutrosophic Semi Open Squares
	Finite Neutrosophic Complex Numbers
	Neutrosophic Interval Bialgebraic Structures
	Neutrosophic Bilinear Algebras and Their Generalizations Interval Groupoids
	Neutrality and Many-Valued Logics
	Neutrosophic Multi-Criteria Decision Making new
	Neutrosophy in Arabic Philosophy
	( ,   ) [Arabic]
	Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps
	Fuzzy Relational Maps and Neutrosophic Relational Maps
	Analysis of Social Aspects of Migrant Labourers Living with HIV/AIDS Using Fuzzy Theory and Neutrosophic Cognitive Maps
	Smarandache Neutrosophic Algebraic Structures
	Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models
	Fuzzy Neutrosophic Models for Social Scientists
	Neutrosophic Rings
	Infinite Quaternion Pseudo Rings Using [0, n)
	Interval Groupoids
	Neutrosophic Crisp Set Theory
	A Unifying Field in Logics: Neutrosophic Logic.  Neutrosophy, Neutrosophic Set, Neutrosophic Probability and Statistics (last edition)
	Сущность нейтрософии; Смарадаке Ф.(перевод Д. Рабунского)[Russian]
	逻辑学的统一：中智逻辑  中智学，中智集合论，中智概率论 (Chinese) [1, 2]
	中道辩证法与唯道主义自然哲学[Chinese Neutrosophy and Taoist Natural Philosophy](Chinese)
	Neutrosophic Interpretation of Tao Te Ching (道德经的中智学解读和扩充 ?正反及中智道德经) [English-Chinese]
	Neutrosophic Interpretation of The Analects of Confucius 弗羅仁汀·司馬仁達齊，傅昱華 論語的中智學解讀和擴充 —正反及中智論語 English-Chinese Bilingual（英汉双语 )
	Neutrosofia ca reflectarea a realităţii neconvenţionale [Romanian]
	Quadruple Neutrosophic Theory and Applications (Vol. 1) new
	Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics
	Proceedings of the Introduction to Neutrosophic Physics: Unmatter & Unparticle International Conference
	Introduction to Neutrosophic Logic
	Introducao a Logica Neutrosofica (Portuguese) novo
	CEBİRSEL YAPILARDA N�TROSOFİK ��L� K�MELERİN MOD�LLER �ZERİNDEKİ ETKİLERİ yeni
	�İFT KUTUPLU TEK DEĞERLİ N�TROSOFİK GRAFLAR �ZERİNDE TOPSIS METODU VE UYGULAMALARI (Turkish) (TOPSIS METHOD AND APPLICATIONS ON BIPOLAR SINGLE VALUED NEUTROSOPHIC GRAPHS) yeni
	N�TROSOFİK DEĞERLİ N�TROSOFİK KESİN KUMELER (Turkish) (NEUTROSOPHIC VALUED NEUTROSOPHIC CRISP SETS)  yeni
	Notrosofik Kumeler ve Notrosofik Uclu Normlu Uzaylar (Turkish) yeni
	Bazi Neutrosophic Kumeler Uzerindeki Karar Verme Metodari ve Uygulamalari yeni
	Sezgisel Bulanik Kumeler ve Neutrosophic Kumeler Uzerine Bazi Cok Kriterli Karar Verme Metotlari yeni
	The Effect of Neutrosophic Logic new
	Interval Neutrosophic Sets and Logic: Theory and Applications in Computing
	Neutrosophic Dialogues
	Neutrosophic Emergences and Incidences in Communication and Information
	Communication Neutrosophic Routes
	Topical Communication Uncertainties
	Introduction to Bimatrices
	Applications of Bimatrices to some Fuzzy and Neutrosophic Models
	Fuzzy and Neutrosophic Sets in Semigroups new
	Fuzzy Interval Matrices and Neutrosophic Interval Matrices and their Applications
	Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists
	Special Fuzzy Matrices for Social Scientists
	Methods in Industrial Biotechnology for Chemical Engineers
	Introduction to Linear Bialgebra
	Euclid Squares on Infinite Planes
	Uncertainty Communication Solution in Neutrosophic Key
	Fuzzy and Neutrosophic Analysis of Women with HIV/AIDS
	Fuzzy and Neutrosophic Analysis of Periyar's Views on Untouchability
	Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures
	Neutrosophic Super Matrices and Quasi Super Matrices
	Vedic Mathematics - 'Vedic' or 'Mathematics': A Fuzzy & Neutrosophic Analysis
	Proceedings of the First International Conference on Smarandache Multispace & Multistructure
	Nidus Idearum de Neutrosophia (blog) [Vol 1, Vol. 2, Vol. 3, Vol. 4, Vol. 5, Vol. 6, Vol. 7, Vol. 8, Vol. 9, Vol. 10, Vol. 11, Vol. 12]
	Neutrosophic Logic, Wave Mechanics, and Other Stories (Selected Works 2005-2008)
	Neutrosophic Physics: More Problems, More Solutions (Collected Papers)
	Unmatter Plasma, Relativistic Oblique-Length Contraction Factor, Neutrosophic Diagram and Neutrosophic Degree of Paradoxicity new
	Neutrosophic Operations Research
	Neutrosophic Theory and its Applications, Vol. 1

new

	Natural Neutrosophic Numbers and MOD Neutrosophic Numbers
	Non-Associative Algebraic Structures on MOD Planes
	MOD Planes: A New Dimension to Modulo Theory
	Multidimensional MOD Planes
	MOD Functions: A New Approach to Function Theory
	Algebraic Structures on MOD Planes
	Mod Pseudo Linear Algebras
	Problems on MOD Structures
	Semigroups on MOD Natural Neutrosophic Elements
	MOD Natural Neutrosophic Subset Semigroups
	Special Type of Fixed Points of MOD Matrix Operators
	Special Type of Fixed Point Pairs using MOD Rectangular Matrix Operators
	MOD Cognitive Maps Models and MOD Natural Neutrosophic Cognitive Maps Models
	MOD Relational Maps Models and MOD Natural Neutrosophic Relational Maps Models
	Neutrosophic Set Approach to Algebraic Structures
	Subset Vertex Graphs for Social Networks
	Mod Rectangular Natural Neutrosophic Numbers
	Neutrosophic Precalculus and Neutrosophic Calculus (2nd edition)
	Fundamentals of Matrices, Differential Equations, and geometry in Neutrosophic Field أساسيات المصفوفات والمعادلات التفاضلية والهندسة فى المجال النيوتروسوفيكي
	Neutrosophic Logic: The Revolutionary Logic in Science and Philosophy
	Proceedings of the National Symposium المنطق النيوتروسوفكي : منطق ثوري في العلوم والفلسفة وقائع الندوة الوطنية تأل فٌ,
	Mosul University, College of Computer Science and Mathematics, Iraq, March 15th, 2018
	Obligaciones Tributarias del Contribuyente. Analisis Neutrosofico de las Causas de su Incumplimiento nuevo
	La gestion en las IES como Factor Decisivo en la Excelencia Universitaria. Aportes de la Neutrosofia nuevo
	Motivaci�n y desarrollo de habilidades en investigaci�n formativa: un an�lisis desde la estad�stica neutros�fica nuevo
	La investigaci�n cient�fica en el contexto acad�mico nuevo
	Psicologia Educativa nuevo
	La investigaci�n jur�dica en la formaci�n de los profesionales del derecho. Validaci�n neutros�fica nuevo
	Modelo ecol�gico de bronferbrenner aplicado a la pedagog�a, modelaci�n matem�tica para la toma de decisiones bajo incertidumbre: de la l�gica difusa a la l�gica plitog�nica
	Los Modelos Neutrosoficos en la Toma de Decisiones nuevo
	Economia Conductuales & la Neutrosofia nuevo
	Administracion de Empresas / Elementos Basicos
	Estudio Estadistico-Neutrosofico de los Efectos Causados por Sismos
	Modelo de Gestion Educativa Institutional. Insutec-Ecuador. Una Vision desde la Neutrosofia y la Complejidad a la Gestion Educativa
	Estadistica y Probabilidades: Una Vision Neutrosofica desde el Aprendizaje Basado en Problemas en la Construccion del Conocimiento
	La Pedagogia como Instrumento de Gestion Social: Nuevos Caminos para la Aplicacion de la Neutrosofia a la Pedagogia
	Metodos Multicriterios para Determinacion de la Efectividad de la Gestion Publica y el analysis de la Transparencia
	Enfoque Didactico de la Teoria de Conjuntos y Probabilidades
	Neutrosofia: Nuevos avances en el tratamiento de la incertidumbre [Spanish]
	Neutrosophic Graph Theory and Algorithms, https://www.igi-global.com/book/neutrosophic-graph-theory-algorithms/232296

 

Neutrosophic PATENTS

METHODS AND SYSTEMS FOR PERFORMING SEGMENTATION AND REGISTRATION OF IMAGES USING NEUTROSOPHIC SIMILARITY SCORES, by Yanhui Guo, Segundo Gonzalez, United States Patent Application 20200226414, Kind Code: A1, 2020, http://www.freepatentsonline.com/y2020/0226414.html

Multi-criteria decision-making based on generalized prioritized aggregation operators under simplified neutrosophic uncertain linguistic environment, by Tian ZWang JZhang HWang J, 2018, https://patents.google.com/scholar/5404758266164869515

Methods and systems for performing segmentation and registration of images using neutrosophic similarity scores, by Guo, Yanhui & Gonzalez, Segundo Jaime,  United States Patent 10152796, 2018, http://www.freepatentsonline.com/10152796.html

2   Apparatus and method for lesions segmentation [performing neutrosophic image segmentation], by Alsmadi, Mutasem K., United States Patent 10115197, 2018, http://www.freepatentsonline.com/10115197.html

 

 

PostDoctorals, PhD DISSERTATIONS, and MSc. THESES ON NEUTROSOPHICS AND THEIR APPLICATIONS

Muhammad Imran Har, Development of Decision Support System Based on Similarity Measures in Picture Fuzzy Hypersoft Environment, SUPERVISOR Prof. Dr. Muhammad Saeed, DEPARTMENT OF MATHEMATICS, SCHOOL OF SCIENCE, UNIVERSITY OF MANAGEMENT AND TECHNOLOGY, LAHORE, PAKISTAN, 2024.

Lorenzo Affe, Una classe Python per la Morfologia Neutrosofica (Italian), Adviser: Prof. Dr. Giorgio Nordo, Universit� degli Studi di Messina, Sicilia, Italy, Academic year: 2022/2023, Defense: 19th March 2024.

Amirhossein Nafei, Enhancing Efficiency and Performance in Industrial Factories Utilizing Neutrosophic Decision-Making Methods (PhD thesis), Supervisor: Chien-Yi Huang, Department of Industrial Engineering and Management, National Taipei University of Technology, Taipei, Taiwan, 2024.

PhD Theses on neutrosophics at the Universidad de Guayaquil, Ecuador 

https://repositorio.ug.edu.ec/search?query=neutrosofia%20

 

PhD Theses on neutrosophics at the Universidad de Ciencias Informticas, Ecuador 

https://repositorio.uci.cu/jspui/browse?type=author&value=Salah+Hasan%2C+Al-Subhi

 

APPLICATIONS OF LARGE LANGUAGE MODELS, AGGREGATION ALGORITHMS, AND EXTENSIONS FOR FUZZY COGNITIVE MAPS (using Neutrosophic Cognitive Maps), by Ryan Schuerkamp, Master of Science, Department of Computer Science & Software Engineering, The Graduate School, Miami University, Oxford, Ohio, USA, Dr. Philippe J. Giabbanelli (Advisor), and Dr. Garrett Goodman & Dr. Honglu Jiang (Readers), 2024.

Shazia Rana, Subjective, Attributive Combined Consciousness Model, Plithogenic whole Hyper Soft Set and Multi Attributive Decision Making Techniques, Supervisor Dr. Muhammad Saeed, Co-Supervisor Dr. Florentin Smarandache, University of Management and Technology, Lahore, Pakistan, 05 March 2024.

Neutrosophic  Bachelor degree theses at the Digital Repository of  the University of Guayaquil,  Ecuador, 2024.

Graduation of international students on The implementation of Neutrosophic Theory in Civil Engineering and Electrical Engineering,PhD theses, Supervisors Prof. Dr. Huda E. Khalid, Prof. Dr. Ahmed Salama, Cypress International Institute University, Garden Valley, Texas State, USA, held in Lelongui, Malawi, between 2-6 November 2023.

Noha Abdelhady, Using Neutrosophic Multi-Level Multi-Objective Quadratic Integer Programming to Enhance Decision Making Problems, PhD Thesis, Faculty of Computers and AI at Helwan University in Cairo, Egypt, and a Lecturer Assistant at the Faculty of Computers and AI at South Valley University in Hurghada, Egypt, September 2023.

Ines Cardoso Correia, Effects of urban expansion in real estate ecosystems:  Identification and analysis of neutrosophic causal dynamics [Dissertacao de mestrado, Iscte - Instituto Universitario de Lisboa, Portugal], Orientador: Fernando Alberto Freitas Ferreira, 2022, Repositorio do Iscte. http://hdl.handle.net/10071/25604

Studying Some Single Valued Neutrosophic Queueing Systems, M. Sc. Thesis (in Arabic), by Fatina Masri, Advisor Dr. M Bisher Zeina, University of Aleppo, Siria, 2022.

A Novel Hybrid Time Series forecasting method based on neutrosophic logic (with applications), M. Sc., by Farnaz Sheikh Hasani, Ayandegan Institute of Higher Education, Tonekabon,  Faculty of Computer Science, Supervisor: S. A. Edalatpanah, Advisor: Florentin Smarandache, Iran, 2022.

Autonomous Robot Navigation by Multi-Criteria Decision-Making Methods, by Rokas Semenas, Doctoral Dissertation technological Sciences, Information Engioneering, Technological Sciences, Informatics Engineering, Supervisor Prof. Dr Habil. Romualdas BAU�YS (Vilnius Gediminas Technical University, Informatics Engineering, T 007), Vilnius, Lithuania, 2022.

NOTROSOFİK KUMELER VE NOTROSOFİK U�LU NORMLU UZAYLAR, by Abdullah Kargın, Danışman Prof. Dr. Memet ŞAHİN, GAZİANTEP �NİVERSİTESİ, FEN BİLİMLERİ ENSTİT�S�, T�RKİYE CUMHURİYETİ, 2022.

Salah Hasan Saleh Al- Subhi, NUEVAS EXTENSIONES DE MAPAS COGNITIVOS DIFUSOS PARA PROBLEMAS DE
TOMA DE DECISIONES SECUENCIALES MULTIETAPA, UNIVERSIDAD DE LAS CIENCIAS INFORMATICAS
Departamento de Investigaciones en Gestion de Proyectos, La Habana, Cuba, 2021.

Amirhossein Nafei, Optimization and Decision Making Based on Neutrosophic Sets (PhD thesis), Supervisor: Wenjun Yuan, Department of

Mathematics and Information Sciences, Guangzhou University, Guangzhou, China, 2021.

Neutrosophic Theory and its Application in Computer Science, by Ahmed Sleem, Zagazig University, Egypt, Advisor Prof. Dr. Ibrahim Mahmoud, 2021.

AN ANALYSIS ON A NEW FORM OF GENERALIZATION OF NEUTROSOPHIC SETS AND ITS APPLICATIONS, PhD Thesis, Under the Guidance of Dr. K. MOHANA, by CHRISTY V, PG & RESEARCH DEPARTMENT OF MATHEMATICS, NIRMALA COLLEGE FOR WOMEN, Autonomous Institute, Affiliated to Bharathiar University, Coimbatore 641046, Tamil Nadu, India, June 2021.

RESEARCH STUDIES ON VAGUE BINARY SOFT SET AND NEUTROSOPHIC VAGUE BINARY SET, PhD Thesis, by  P.B. REMYA,  Under the Guidance of Dr. A. FRANCINA SHALINI, PG & RESEARCH DEPARTMENT OF MATHEMATICS NIRMALA COLLEGE FOR WOMEN Autonomous Institute, Affiliated to Bharathiar University Accredited with �A� Grade by NAAC in the 3rd Cycle (CGPA 3.62) RED FIELDS, COIMBATORE 641 018, TAMIL NADU, INDIA, APRIL 2021.

Abdelhamid Bennoui, Sous-ensembles neutrosophiques particuliers dans un treillis / Particular neutrosophic subsets on a lattice, Doctoral thesis, Faculty of Mathematics and Informatics, Msila University, Msila, Algeria, 2021

Some Refined Neutrosophic Algebraic Structures and their Respective Hyperstructures, M. Sc. Thesis, by Ibrahim Abiodun Muritala, under the Supervision of Prof. Dr. A.A.A. Agboola & External Examiner Prof. Dr. Jaiyeola Temitope Gbolahan, Federal university of Agriculture, Abeokuta, Nigeria, 12th of October, 2021.

Non-Associative Hyperstructures in Terms of Neutrosophic Triplet Sets, PhD Thesis, by Shah Nawaz, under the supervision of Dr. Mohamad Gulistan and Dr. Naveed Yaqoob, Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan, 2021.

�laboration des graphes neutrosophiques et leurs applications: R�seaux informatiques et D�veloppement d�une boite � outils pour Matlab, Th�se de Doctorat par Said Broumi, Facult� des Sciences Ben M�Sik, Universit� Hassan II de Casablanca, Maroc, Directeur de th�se Mohamed Talea, Co-Encadrants de th�se Assia Bakali et F. Smarandache, le 27/03/2021.

Providing a cluster management system for mobile ad hoc networks in the neutrospheric environment, by Sina Nazari Moghaddam, M. Sc., Ayandegan Institute of Higher Education,Tonekabon, Faculty of Computer Science, Supervisor: S. A. Edalatpanah, Iran, 2022.

A new hybrid model in neutrosophic MADM models to choose the best option for a sustainable construction management, by Seyyed Ali Nourkhah, M. Sc., Ayandegan Institute of Higher Education,Tonekabon, Faculty of Civil engineering, Supervisor: S. A. Edalatpanah, Iran, 2021.

Providing a new Energy Efficient Routing Method Based on MADM models for Mobile Ad-hoc Networks in the Neutrosophic Environment, by
Fatemeh Rasoulpour, M. Sc., Ayandegan Institute of Higher Education,Tonekabon, Faculty of Computer Science, Supervisor: S. A. Edalatpanah, Iran, 2021.

Selection of Sustainable Supplier in Construction Companies with a New Hybrid MADM Model in Interval Neutrosophic Environment, by Abdolrahman Halajian, M. Sc., Ayandegan Institute of Higher Education,Tonekabon, Faculty of Civil engineering, Supervisor: S. A. Edalatpanah, Iran, 2021.

A New Neutrosophic Multiple Attribute Decision Making Method and its Application in Tehran Stock Exchange, by Fatemeh Shokuhikhah, M. Sc., Ayandegan Institute of Higher Education, Tonekabon, Faculty of Management Science, Supervisor: S. A. Edalatpanah, Iran, 2021.

A New Model Based on Risk Management to Select Public and Private Participation in the Country's Road Construction Projects in the Neutrosophic Environment, by Seyyed Farhad SaberHoseini, M. Sc., Ayandegan Institute of Higher Education,Tonekabon, Faculty of Civil engineering, Supervisor: S. A. Edalatpanah, Iran, 2021.

TODIM method for multi-attribute decision-making in neutrosophic environment (Case study: teacher insurance agents in Gilan province), by Nakisa Shahabi, M. Sc., Ayandegan Institute of Higher Education, Tonekabon, Faculty of Industrial engineering, Supervisor: S. A. Edalatpanah, Iran, 2020.

Postdoctoral of Science in Scientific Research, Neutrosophy and Complexity, Campus Miami-Dade, Florida, USA, 2020.

Sistema experto probabilistico neutrosofico para seleccion de estrategia en la gestion del riesgo en la cadena de suministro, Maestria en Ingenieria Industrial, por Rafael Hernan Rojas Gualdron, Director Carlos Eduardo Diaz Bohorquez, Codirector Florentin Smarandache, Universidad Industrial de Santander, Bucaramanga, Colombia, 06 Agosto 2020.

Some Decision Making Models Based on Neutrosophic Strategy, PhD Thesis, by Kalyan Mondal under the supervision of Dr. Surapati Pramanik, Nandalal Ghosh B.T. College, Papur, Dr. B.C. Giri, Department of Mathematics, Jadavpur University, Jadavpur, West Bengal, India, May 2, 2020.

Some Studies on Neutrosophic Decision Making, Ph. D. Thesis, by Shyamal Dalpati under the supervision of Dr. Surapati Pramanik, Nandalal Ghosh B.T. College, Papur, Dr. Shariful Alam, Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, West Bengal, India , April 2, 2020.

Rafif Alhabib: Formulation of The classical probability and some probability distributions due to Neutrosophic logic and its impact on Decision Making (in Arabic). Thesis submitted for PhD Degree in Statistics, Syrian Arab Republic, University of Aleppo, Faculty of Science, Department of Mathematical Statistics, Aleppo, 2019, 169 p.

An Evaluation Model for Geographic Information Small to Medium Enterprises (GI SMEs) migrating to GeoCloud Services (using the Neutrosophic Multi-Criteria Decision Analysis), by Eoin Scollard, Supervisors: Dr. Frederika Welle Donker and Dr. Peter van Oosterom, (Place of research: Tralee, Ireland), Universiteit Utrecht, Netherlands, 2019.

Life cycle assessment applied to the sustainable design of prestressed bridges in coastal environments (using neutrosophic sets), PhD Thesis, by Ignacio J. Navarro Martinez, Advisors: Dr. Victor Yepes Piqueras & Dr. Jose V. Marti Albinana, Universitat Politecnica de Valencia, Spain, 2019.

Artistic Style Characterization of Vincent van Gogh�s Brushstrokes (using Neutrosophy Based Segmentation Method), PhD Thesis, by Tieta Putri, supervisors Assoc. Prof. R. Mukundan and Dr. Kourosh Neshatian, College of Engineering, Department of Computer Science and Software Engineering, University of Canterbury, Christchurch, New Zeeland, 2019.

Uma metodologia de gest�o socioambiental para o socioecossistema bacia hidrografica Rio dos Sinos (Mapas Cognitivos Neutros�ficos e  N�meros Neutros�ficos), PhD Thesis, por Rodolfo Gonz�lez Ortega, Orientador: Dr. Jo�o Alcione Sganderla Figueiredo, Universidade Feevale, Novo Hamburgo, Brasil, 2019.

Neutrosophic logic, set and probability, MSc. Thesis, by Irma Makharadze, Ivane Javakhishvili Tbilisi State University,  Faculty of Exact and Natural Sciences, supervisor Tariel Khvedelidze, Tbilisi, Georgia, 2019.

A Study on Fuzzy Soft Graphs and Neutrosophic Graphs, by S. Satham Hussain, Bharathidasan University, Tiruchirappalli, Tamil Nadu, India, 2019.

Interval Type-2 Fuzzy Sets and Interval Neutrosophic Sets in Intelligent Systems, PhD Thesis, by M. Latha Maheswari, Supervisor: Dr. D. Nagarajan, Hindustan Institute of Technology and Science, Padur KelamBakkam, Chennai, India, 2019.

Formulation of The classical probability and some probability distributions due to Neutrosophic logic and its impact on Decision Making [Arabic], by Rafif Alhabib, supervised by Dr. Mustafa Mazhar Rana, Dr. Haitham Farah, Dr. Ahmed Salama, at the University of Aleppo, Syria, 2019.

Fuzzy and Neutrosophic) Soft Hyper BCK-Ideals, by Somayeh Khademan, Tarbiat Modares University, Supervisor: Prof. Mohammad Mehdi Zahedi, Advisors: Prof. Ali Iranmanesh and Prof. Young Bae Jun, Teheran, Iran, 2019.

Aralık Değerli Neutrosophic Esnek Graflar, doktora tezi, tarafından Guven Kara, Danışman: Doc. Dr. Yıldıray CELİK, Ordu Universitesi, Fen Bilimleri Enstitusu, Matematik Anabilim Dalı, Turkiye, 2019.

Neutrosophic Approach for Mathematical Morphology, MSc. Thesis, by Eman Marzouk El-Hassanein Abd El-Samad El-Nakeeb, under the supervision of Prof. Dr. Samy Ahmed Abd El-hafeez, Prof. Dr. Ahmed Abd El-khalek Salama, Dr. Hewayda Abdel Hameed El Ghawalby, Faculty of Science, Department of Mathematics and Computer Science, Port Said University, Egypt, 2019.

Formulation of The classical probability and some probability distributions due to Neutrosophic logic and its impact on Decision Making (Arabic), PhD Thesis, by Rafif Alhabib, under the supervision of Dr. M .M .Ranna, Dr. H .Farah, Dr. A.A.Salama, Faculty of Science, Department of Mathematical Statistics, University of Aleppo, Syrian Arab Republic, 2019.

Security in Mobile Ad-hoc Networks using Neutrosophic Technique, PhD Thesis, by Haitham Samy Mohammed Elwahsh, supervised by Prof. Dr. Ibrahim Mahmoud ELhenawy & Prof. Dr. Ahmed Abdel-Khalek Salama, Faculty of Science, Port Said University, Egypt, 2019.

A Study of Neutrosophic Topological Spaces, MSc. thesis, by Majdi Saleh Ahmed Dabash, Supervisors I.M. Hanafy & A.A. Salama, Department of Mathematics & Computer Science Faculty of Science, Port Said University, Egypt, 2018.

Yaman AKBULUT, N�TROZOFİK MANTIĞIN G�R�NT� B�L�TLEME VE �R�NT� TANIMA ALANLARINDAKİ YENİ UYGULAMALARI (Turkish), Doktora Tezi Anabilim Dalı: Elektrik-Elektronik M�hendisliği Teknolojileri Danışman: Prof. Dr. Abdulkadir ŞENG�R, FIRAT �NİVERSİTESİ, Turkey, 2018.

Estrategia de Gesti�n en la Educaci�n Superior; pertinencia e impacto en la interrelaci�n de los procesos acad�micos, de investigaci�n cient�fica y de vinculaci�n con la sociedad en el periodo enero 2016- mayo 2018 en la Facultad de Ciencias Jur�dicas, Sociales y de la Educaci�n de la Universidad T�cnica de Babahoyo en Ecuador [con la logica neutrosofica ] , por Jesus Estupinan Ricardo, assesores: Dra. Maura de la Caridad Salabarria Roig, Dr. Jose Sergio Puig Espinosa, Dr. Maikel Yelandi Leyva Vazquez, Centro de Estudios para la Calidad Educativa y la Investigation Cinetifica, Toluca, Mexico, Septiembre 2018.  

Multiple Criteria Selection of Design Solutions for Single-Family Houses, PhD Dissertation, by Birutė Juodagalvienė, Vilnius Gediminas Technical University, Lithuania, 2018.

Learning management systems Evaluation, PhD dissertation, by Nouran Moamed Radwan Hussein, under supervision of Prof. Dr. Alaa El Din M. Riad and Prof. Dr. Mohamed Badr Senousy, Faculty of Computers and information, Department of Information Systems, Mansoura University, Egypt, 2018.

Multi Attribute Decision Making in Neutrosophic Environment, Ph. D. Thesis by Pranab Biswas, under the supervision of Dr. Surapati Pramanik, Nandalal Ghosh B.T. College, Papur; Dr. B.C. Giri, Department of Mathematics, Jadavpur University, Jadavpur, WestBengal, India, February 2, 2018.

Las Habilidades del Marketing como determinantes que sustentaran la competitividad de la Industria del arroz en el cantón Yaguachi, por Cristhian Fabián MENÉNDEZ DELGADO y Pablo José MENÉNDEZ VERA, Bajo la dirección de Nory Analidhia PINELA MORA, Universidad Espíritu Santo, Facultad de Postgrados, Samborondón, Ecuador, 2017.

Studies on Some Truss Design, Welded Beam Design and Pavement Design Optimization Models in Imprecise Environment, PhD dissertation, by Mridula Sarkar, Indian Institute of Engineering Science and Technology, Shibpur, West Bengal, India, 2017.

A Study on Neutrosophic Rough Sets and its Applications, PhD dissertation, by C. Antony Crispin Sweety; Bharathiar University, India, 2017.

Imprecise Geometric Programming with Various Applications, PhD dissertations, by Pintu Das; Indian Institute of Engineering Science and Technology, India, 2017.

Studies on Semilattices, Neutrosophic Semilattices and Merging of Semilattices with Lattices, PhD dissertation, by M. Reehana Parveen; University of Madras, India, 2016.

Contributions to the Study on Single Valued Neutrosophic Sets, PhD dissertations, by J. Martina Jency; Bharathiar University, India, 2016.

Neutro-Connectedness Theory, Algorithms and Applications, PhD dissertations, by Min Xian, Utah State University, United States, 2017.

Neutrosophic Data Warehouse and Dynamic Sets, PhD dissertations, by Mona Samy Ghareeb Hussin Bondok; Port Said University, Egypt, 2017.

Studies on Some Truss Design, Welded Beam Design and Pavement Design Optimization Models in Imprecise Environment, PhD dissertations, by Mridula Sarkar; Indian Institute of Engineering Science and Technology, India, 2017.

Nötrosofik Kümelerin Kafesleri Üzerine, by Merve Gökçen Sayin, MSc thesis; Bitlis Eren Üniversitesi Fen Bilimleri Enstitüsü, Turkey, 2017.

	Some Studies on Decision Making in an Uncertain Environment, Ph. D. Thesis, by Durga Banerjee, under the supervision of Dr. Surapati Pramanik, Nandalal Ghosh B.T. College, Papur; Dr. B.C. Giri, Department of Mathematics,Jadavpur University, Jadavpur, West Bengal, India, September 8, 2017.
	Eng. Stefan Adrian Dumitru, Contributii in dezvoltarea sistemelor de control neuronal al miscarii robotilor mobili autonomi, adviser Dr. Luige Vlădăreanu, Institute of Solid Mechanics, Romanian Academy, Bucharest, 25 September, 2014.
	Eng. Dănuț Adrian Bucur, Contribuţii in controlul mișcării sistemelor de prehensiune pentru roboți și maini umanoide inteligente, adviser Dr. Luige Vlădăreanu, Institute of Solid Mechanics, Romanian Academy, Bucharest, 25 September, 2014.
	Eng. Daniel Octavian Melinte, Cercetari teoretice si experimentale privind controlul sistemelor mecanice de pozitionare cu precizie ridicata, advisers Dr. Luige Vlădăreanu & Dr. Florentin Smarandache, Institute of Solid Mechanics, Romanian Academy, Bucharest, September 2014 .
	Eng. Ionel Alexandru Gal, Contributions to the Development of Hybrid Force-Position Control Strategies for Mobile Robots Control, advisers Dr. Luige Vlădăreanu & Dr. Florentin Smarandache, Institute of Solid Mechanics, Romanian Academy, Bucharest, October 14, 2013.
	Smita Rajpal, Intelligent Searching Techniques to Answer Queries in RDBMS, PhD Dissertation, under the supervision of Prof. M. N. Doja, Department of Computer Engineering Faculty of Engineering, Jamia Millia Islamia, New Delhi, India, 2011.
	Josue Antonio Nescolarde Selva, A Systematic Vision of Belief Systems and Ideologies, under the supervision of Dr. Josep Llus Us0 I Domenech, Dr. Francesco Eves Macia, Universidad de Alicante, Spain, 2010.
	Ming Zhang, Novel Approaches to Image Segmentation Based on Neutrosophic Logic, PhD Dissertation, Utah State University, Logan, Utah, USA, All Graduate Theses and Dissertations, Paper 795, http://digitalcommons.usu.edu/etd/795, 12-1-201, 2010.
	Haibin Wang, Study on Interval Neutrosophic Set and Logic, PhD dissertation, Georgia State University, Atlanta, USA, 2005.
	Sukanto Bhattacharya, Utility, Rationality and Beyond - From Finance to Informational Finance [using Neutrosophic Probability], PhD dissertation, Bond University, Queensland, Australia, 2004.

 

NATIONAL AND INTERNATIONAL CONFERENCES ON NEUTROSOPHICS

Mediterranean Conference on Neutrosophic Theory (MECoNeT 2024) held in a hybrid form at the Academia Peloritana dei

Pericolanti, Universita degli Studi di Messina (Italy), on 24-25 September 2024, organized by Prof. Dr. Giorgio Nordo,

https://www.meconet.org/general-information/

Neutrosophic Logic and its Application, virtual international conference, organized by Dr. Masoud Ghods and Dr. Zahra Rostami, Semnan University, Iran, 26 October 2023.

Acreditacion como Miembros de Honor de la Asociacion Internacional de Ciencias Neutrosoficas a  altas autoridades de la educacion superior en el Ecuador, Universidad Regional Autonoma de los Andes, Ambato, Ecuador, Martes 29 de marzo 2022, https://drive.google.com/u/0/video/captions/edit?id=1GkOGJwgH2kid40PJEr3YnF-6Km07r7c7

A Journey of Neutrosophy [in Arabic], by Kawther Fawzi Hamza, Babylon University, Babylon City, Hilah, Iraq, 18 December 2018; and another video presentation:  http://purescience.uobabylon.edu.iq/action_news.aspx?nwid=44152

Some Results on Neutrosophic Triplet Group and their Applications to Management and Sports, by Tèmítópé Gbóláhàn Jaíyéolá and Florentin Smarandache, National Centre for Technology Management (NACETEM), Faculty of Science, Obafemi Awolowo University Campus, Ile-Ife, Nigeria, 1-5 October 2018.

Fundamentos de la logica y los conjunctos neutrosoficos: metologia de la investigacion y oportunidad de publicaciones, Seminario International de Investigacion Formativa, Universidad Abrieda Para Adultos, Santiago de los Cabaleros, Dominican Republic, 28 July 2018.

Bipolar Neutrosophic Minimum Spanning Tree, by Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache and Kifayat Ullah, The 2^nd International Conference on Smart Applications and Data Analysis for Smart Cities [SADASC], Section: Machine Learning & applications, 27^thand 28^th February 2018, IDOU ANFA Hotel, Casablanca, Morocco.

Neutrosophic Set and Logic and their Applications [plenary lecture], International Conference on Logic and Algebraic Structures, Jeju National University, South Korea, January 05^th, 2018.

Neutrosophic Set and Logic and their Applications, COMSATS Institute of Information Technology, Abbottabad, Pakistan, December 22^nd, 2017.

“Applications of Neutrosophic Sets in Image Identification, Medical Diagnosis, Fingerprints and Face Recognition” and “Neutrosophic Overset/Underset/Offset”, COMSATS Institute of Information Technology, Abbottabad, Pakistan, December 26^th, 2017.

Spanning Tree Problem with Neutrosophic Edge Weights, Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Arindam Dey, and Le Hoang Son, presented by Said Broumi, The First International Conference On Intelligent Computing in Data Sciences (ICDS2017), Meknes, Morocco, December 18-19, 2017.

An Outline of Cellular Automaton Universe via Cosmological KdV Equation, by V. Christianto, F. Smarandache, Y. Umniyati; presented by V. Christianto; Conference on Theoretical Physics and Nonlinear Phenomena 2017 (CTPNP), Catholic University of Parahiyangan, Bandung, West Java, Indonesia, 01 August 2017.

Neutrosophic Theory and its Real Life Applications, Federal University of Agriculture, Department of Mathematics, Abeokuta, Ogun State, Nigeria, 15^th May 2017.

Advances and Applications of DSmT in Information Fusion, by J. Dezert & F. Smarandache, presented by F. Smarandache, Federal University of Agriculture, Communication Technology Resource Centre, Abeokuta, Ogun State, Nigeria, 19^th May 2017.

Seminar on Physics (unmatter, absolute theory of relativity, general theory – distinction between clock and time, superluminal and instantaneous physics, neutrosophic and paradoxist physics), Neutrosophic Theory of Evolution, Breaking Neutrosophic Dynamic Systems, and Neutrosophic Triplet Algebraic Structures, Federal University of Agriculture, Communication Technology Resource Centre, Abeokuta, Ogun State, Nigeria, 19^th May 2017.

Fundamentals of the Classical Set, Fuzzy Set and Logic, Intuitionistic Fuzzy Set and Logic, and Neutrosophic Set and Logic, Federal University of Agriculture, Department of Mathematics, Abeokuta, Ogun State, Nigeria, 22^nd May 2017.

Foundations of Neutrosophic Set and Logic with Applications [plenary lecture], International Conference on Contemporary Mathematics and the Real World (70^th birthday anniversary of Prof. G. O. S. Ekhaguere), University of Ibadan, Ibadan, Oyo State, Nigeria, 23^rd May 2017. 

Advances and Applications of DSmT in Information Fusion, by J. Dezert & F. Smarandache, presented by F. Smarandache, University of Lagos, Department of Mathematics, Akoka-Yaba, Lagos State, Nigeria, 25^th May 2017.

Foundations of Neutrosophic Set and Logic with Applications, University of Lagos, Department of Mathematics, Akoka-Yaba, Lagos State, Nigeria, Nigeria, 25^th May 2017.

Foundations of Neutrosophic Set and Logic with Applications [plenary lecture], International Conference on Contemporary Mathematics and the Real World (70^th birthday anniversary of Prof. G. O. S. Ekhaguere), University of Ibadan, Ibadan, Oyo State, Nigeria, 23^rd May 2017. 

International Conference on Information Fusion, Tutorial on Foundations of Neutrosophic Set and Logic and Their Applications to Information Fusion, by F. Smarandache, 7th July 2014, Salamanca, Spain.

International Conference on Applications of Plausible, Paradoxical, and Neutrosophic Reasoning for Information Fusion, Cairns, Queensland, Australia, 8-11 July 2003.

First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability and Statistics, University of New Mexico, Gallup Campus, 1-3 December 2001.  

TUTORIALS:

Tutorial on the Foundations of Neutrosophic Logic and Set and their Applications in Science

Fundamentos de la Logica Neutrosofica y Conjunto [Spanish] [PDF, PPTX]

ARTICLES ON NEUTROSOPHIC THEORIES AND APPLICATIONS

Camelia Delcea, Adrian Domenteanu, Corina Ioanas, Vanesa Madalina Vargas, and Alexandra Nicoleta Ciucu-Durnoi, Quantifying NeutrosophicResearch: A Bibliometric  Study, Axioms, 2023, 12, 1083.

Muhammad Aslam, Florentin Smarandache: Chi-square test for imprecise data in consistency table. Frontiers in Applied Mathematics and Statistics, 2023, 5 p. https://www.frontiersin.org/articles/10.3389/fams.2023.1279638/full

A. Elrawy, Florentin Smarandache, Ayat A. Temraz: Investigation of a neutrosophic group. IOS Press, 5 p.

A. A. A. Agboola, B. Davvaz, F. Smarandache: Neutrosophic quadruple algebraic hyperstructures. Annals of Fuzzy Mathematics and Informatics, Vol. 14, No. 1, pp. 29-42, 2017

Sunday Adesina Adebisi, Florentin Smarandache: On Refined Neutrosophic Finite p-Group. Journal of fuzzy extension and applications, 4(2), 136-140, 2023. https://www.journal-fea.com/article_163041.html

Ali Hassan, Muhammad Aslam Malik, Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache: Special types of bipolar single valued neutrosophic graphs. Annals of Fuzzy Mathematics and Informatics, Vol. 14, No. 1, pp. 55-73, 2017

Maissam Jdid, Florentin Smarandache, Neutrosophic Treatment of Duality Linear Models and the Binary Simplex Algorithm, Prospects for Applied Mathimatics and data Analysis ( PAMDA) Vol. 02, No. 01, PP. 08-21, 2023; http://fs.unm.edu/DualityLinearModel.pdf

Mehmet Celik, Ahmed Hatip, On the Refined AH-Isometry and its Applications in Refined Neutrosophic Surfaces, Galoitica: Journal of Mathematical Structures and Applications, 2 (1), 21-28, http://fs.unm.edu/AH-Isometry-refined.pdf

Ilanthenral Kandasamy and Florentin Smarandache, Multicriteria Decision Making Using Double Refined Indeterminacy Neutrosophic Cross Entropy and Indeterminacy Based Cross Entropy, Applied Mechanics and Materials, Vol. 859, pp 129-143, 2016, http://fs.unm.edu/DoubleRefinedIndeterminacyNeutrosophic.pdf

F. Smarandache, Structure, NeutroStructure, and AntiStructure in Science, International Journal of Neutrosophic Science (IJNS), Volume 13, Issue 1, PP: 28-33, 2020; http://fs.unm.edu/NeutroStructure.pdf

Florentin Smarandache. Neutrosophic Set is a Generalization of Intuitionistic Fuzzy Set, Inconsistent Intuitionistic Fuzzy Set (Picture Fuzzy Set, Ternary Fuzzy Set), Pythagorean Fuzzy Set (Atanassov�s Intuitionistic Fuzzy Set of second type), q-Rung Orthopair Fuzzy Set, Spherical Fuzzy Set, and n-HyperSpherical Fuzzy Set, while Neutrosophy is a generalization of Regret Theory, Grey System Theory, and Three-Ways Decision are particular cases of Neutrosophication and of Neutrosophic Probability. We have further extended the Three-Ways Decision to n-Ways Decision, the last one is a particular case of Refined Neutrosophy. Journal of New Theory 29 (2019) 01-35; arXiv, Cornel University, New York City, United States, 1-45, 2019, https://arxiv.org/ftp/arxiv/papers/1911/1911.07333.pdf

Edmundas Kazimieras Zavadskas, Romualdas Bausys, Ingrida Lescauskiene, Ana Usovaite: MULTIMOORA under Interval-Valued Neutrosophic Sets as the Basis for the Quantitative Heuristic Evaluation Methodology HEBIN. Mathematics 2021, 9, 66.

Gul Freen, Sajida Kousar, Sumbal Khalil, Muhammad Imran: Multi-objective non-linear four-valued refined neutrosophic optimization. Computational and Applied Mathematics (2020) 39:35, 17 p.; DOI: 10.1007/s40314-019-1012-4

Li Wang, Yan-Ling Bao: Multiple-Attribute Decision-Making Method Based on Normalized Geometric Aggregation Operators of Single-Valued Neutrosophic Hesitant Fuzzy Information. Complexity, Volume 2021, Article ID 5580761, 15 p.

Ibtesam Alshammari, Parimala Mani, Cenap Ozel, Harish Garg: Multiple Attribute Decision Making Algorithm via Picture Fuzzy Nano Topological Spaces. Symmetry 2021, 13, 69.

Zebo Fang, Jun Ye: Multiple Attribute Group Decision-Making Method Based on Linguistic Neutrosophic Numbers. Symmetry 2017, 9, 111.

Ahmed Ibrahim Shawky, Muhammad Aslam, Khushnoor Khan: Multiple Dependent State Sampling-Based Chart Using Belief Statistic under Neutrosophic Statistics. Hindawi: Journal of Mathematics, Volume 2020, Article ID 7680286, 14 p.; DOI: 10.1155/2020/7680286

V. Banu Priya, S. Chandrasekar, M. Suresh: Neutrosophic a-generalized semi homeomorphisms. Malaya Journal of Matematik, Vol. 8, No. 4, 1824-1829, 2020, 6 p.; doi: 10.26637/MJM0804/0082

Muhammad Aslam: Neutrosophic analysis of variance: application to university students. Complex & Intelligent Systems (2019) 5:403�407, 5 p.; DOI: 10.1007/s40747-019-0107-2

Sudan Jha, Raghvendra Kumar, Le Hoang Son, Francisco Chiclana, Vikram Puri, Ishaani Priyadarshini: Neutrosophic approach for enhancing quality of signals. Multimedia Tools and Applications (2020) 79:16883�16914, 32 p.

Somen Debnath: Neutrosophication of Statistical Data in a Study to Assess the Knowledge, Attitude and Symptoms on Reproductive Tract Infection among Women. J. Fuzzy. Ext. Appl., Vol. 2, No. 1 (2021), 33-40

R. Vijayalakshmi, M. Simaringa: Neutrosophic β-Baire Spaces. Turkish Journal of Computer and Mathematics Education Vol.12 No. 1S (2021), 338- 342, 5 p.

Rehan A. Khan Sherwani, Mishal Naeem, Muhammad Aslam, Muhammad Raza, Muhammad Abid, Shumaila Abbas: Neutrosophic Beta Distribution with Properties and Applications. Neutrosophic Sets and Systems, Vol. 41, 2021, 6 p.

P. Chitra Devi, P. Anitha: Neutrosophic Bipolar Vague Line Graph. Gorteria Journal, Volume 34, Issue 6, 2021, 11 p.

Dan Zhang, Yingcang Ma, Hu Zhao, Xiaofei Yang: Neutrosophic Clustering Algorithm Based on Sparse Regular Term Constraint. Hindawi: Complexity, Volume 2021, Article ID 6657849, 12 p.; DOI: 10.1155/2021/6657849

M. Vasu, D. Ramesh Kumar: Neutrosophic Commutative N-ideals in KU-algebras. IOP Publishing: ICRTAMS 2020, Journal of Physics: Conference Series 1724 (2021) 012015, 9 p.; DOI: 10.1088/1742-6596/1724/1/012015

Ignacio J. Navarro, Jose V. Marti, Victor Yepes: Neutrosophic Completion Technique for Incomplete Higher-Order AHP Comparison Matrices. Mathematics 2021, 9, 496, 19 p.; DOI: 10.3390/math9050496

V. Amarendra Babu, P. Rajasekhar: Neutrosophic Crisp Supra Bi and Tri-Topological Spaces. Advances and Applications in Mathematical Sciences, Volume 20, Issue 5, March 2021, 917-929, 13 p.

Mohammed Albassam, Nasrullah Khan, Muhammad Aslam: Neutrosophic D�Agostino Test of Normality: An Application to Water Data. Hindawi: Journal of Mathematics, Volume 2021, Article ID 5582102, 5 p.; DOI: 10.1155/2021/5582102

A. Vadivel, P. Thangaraja, C. John Sundar: Neutrosophic e-Continuous Maps and Neutrosophic e-Irresolute Maps. Turkish Journal of Computer and Mathematics Education, Vol.12 No. 1S (2021), 369-375, 7 p.

Rehan Ahmad Khan Sherwani, Muhammad Farooq, Nadia Saeed, Zahoor Ahmad, Sana Saeed, Shumaila Abbas, Tooba Arshad: Neutrosophic Entropy Measures For The Normal Distribution: Theory And Applications. Pak. J. Statist. 2021 Vol. 37(3), 303-313

P. Jeya Puvaneswari, K. Bageerathi, P. Selvan: Neutrosophic Feebly Normal Spaces. International Journal of Communication and Media Studies (IJCMS), Vol. 9, Issue 3, Jun 2019, 119-130

Rui Yong, Shaonan Tan, Jun Ye, Shigui Du: Neutrosophic Function for Assessing the Scale Effect of the Rock Joint Surface Roughness. Hindawi: Mathematical Problems in Engineering, Volume 2021, Article ID 6611627, 11 p.; DOI: 10.1155/2021/6611627

Murshid Kamal, Umar Muhammad Modibbo, Ali AlArjani, Irfan Ali: Neutrosophic fuzzy goal programming approach in selective maintenance allocation of system reliability. Complex & Intelligent Systems, 15 p.; DOI: 10.1007/s40747-021-00269-1

Huda E. Khalid: Neutrosophic Geometric Programming (NGP) Problems Subject to (⋁, . ) Operator; the Minimum Solution. Neutrosophic Sets and Systems, Vol. 32, 2020, 10 p.

Selvaraj Ganesan: Neutrosophic Grill Topological Spaces. International Research Journal of Education and Technology, Volume 2, Issue 2, June (2021), 16 p.

R. Tayebi Khorami, A. Borumand Saeid: Neutrosophic H-Ideal on BCK-Algebras. 5 p.

M.A. Ibrahim, A.A.A. Agboola: Introduction to Neutrosophic Hypernear-rings. International Journal of Neutrosophic Science (IJNS) Vol.10, No.1, 9-22, 2020

Rana Muhammad Zulqarnain, Imran Siddique, Rifaqat Ali, Fahd Jarad, Abdul Samad, T. Abdeljawad: Neutrosophic Hypersoft Matrices with Application to Solve Multiattributive Decision-Making Problems. Hindawi: Complexity, Volume 2021, Article ID 5589874, 17 p.; DOI: 10.1155/2021/5589874

Rozina Ali: Neutrosophic Linear Space Theory. May 2021, 16 p.; DOI: 10.13140/RG.2.2.27866.47042

Mohamed Bisher Zeina: Neutrosophic M/M/1, M/M/c, M/M/1/b Queueing Systems. July 2020, 18 p.

Antonio J. Sanchez-Garrido, Ignacio J. Navarro, Victor Yepes: Neutrosophic multi-criteria evaluation of sustainable alternatives for the structure of single-family homes. Environmental Impact Assessment Review 89 (2021) 106572, 20 p.

Warud Nakkhasen: Neutrosophic N-ideals in Ternary Semigroups. International Journal of Mathematics and Computer Science, 16(2021), no. 2, 659�675

Angyan Tu, Jun Ye, Bing Wang: Neutrosophic Number Optimization Models and Their Application in the Practical Production Process. Hindawi: Journal of Mathematics, Volume 2021, Article ID 6668711, 8 p.; DOI: 10.1155/2021/6668711

N. Jose Pravin Praveena, S. Ghousia Begum, Ganesh Kumar Thakur, Bandana Priya, Chirag Goyal: Neutrosophic numbers in finding the shortest path using dynamic programming. Materials Today: Proceedings, 5 p.; DOI: 10.1016/j.matpr.2020.10.895

Zahid Khan, Muhammad Gulistan, Nasreen Kausar, Choonkil Park: Neutrosophic Rayleigh Model with Some Basic Characteristics and Engineering Applications. IEEE Access, 8 p.; DOI: 10.1109/ACCESS.2021.3078150

Meena Arora, Ranjit Biswas, U.S. Pandey: Neutrosophic Relational Database Decomposition. International Journal of Advanced Computer Science and Applications (IJACSA), Vol. 2, No. 8, 2011, 5 p.

D. Ajay, J. Joseline Charisma, N. Boonsatit, P. Hammachukiattikul, G. Rajchakit: Neutrosophic Semiopen Hypersoft Sets with an Application to MAGDM under the COVID-19 Scenario. Hindawi: Journal of Mathematics, Volume 2021, Article ID 5583218, 16 p.; DOI: 10.1155/2021/5583218

R. Vijayalakshmi, A. Savitha Mary: Neutrosophic semi Volterra spaces. Malaya Journal of Matematik, Vol. 8, No. 4, 1812-1817, 2020; DOI: 10.26637/MJM0804/0080

Mamoni Dhar: Neutrosophic Soft Matrices and Its Application in Medical Diagnosis. J. Fuzzy. Ext. Appl., vol. 2, no. 1 (2021), 23-32, 10 p.

Kemale Veliyeva, Sadi Bayramov: Neutrosophic Soft Modules. Journal of Advances in Mathematics, Volume 14, Issue 02, 2018, 12 p.; DOI: 10.24297/jam.v14i2.7401

Ishmal Shahzadi, Muhammad Aslam, Hussain Aslam: Neutrosophic Statistical Analysis of Income of YouTube Channels. Neutrosophic Sets and Systems 39, 1, 7 p.

V. Banu Priya, S. Chandrasekar, M. Suresh: Neutrosophic Strongly a-Generalized Semi Closed Sets. Advances in Mathematics: Scientific Journal 9 (2020), no.10, 8605�8613, 9 p.; DOI: 10.37418/amsj.9.10.85

Nadia M. Ali Abbas, Shuker Mahmood Khalil, M. Vigneshwaran: The neutrosophic strongly open maps in neutrosophic bi-topological spaces. Journal of Interdisciplinary Mathematics, 24:3, 667-675, DOI: 10.1080/09720502.2020.1860287

D. Savithiri, C. Janaki: Neutrosophic vague Regular Weakly closed sets in Neutrosophic vague topological spaces. Journal of Xi'an University of Architecture & Technology, Volume XII, Issue VIII, 2020, 9 p.

Madad Khan, Muhammad Zeeshan, Suhail Iqbal: Neutrosophic Variational Inequalities with Applications in Decision-Making. 17 p.

Muhammad Aslam, Osama H. Arif, Rehan Ahmad Khan Sherwani: New Diagnosis Test under the Neutrosophic Statistics: An Application to Diabetic Patients. Hindawi: BioMed Research International, Volume 2020, Article ID 2086185, 7 p.; DOI: 10.1155/2020/2086185

R. Narmada Devi, R. Dhavaseelan: New Type of Neutrosophic Off Graphs. Advances in Mathematics: Scientific Journal 9 (2020), no.3, 1331�1338, 9 p.; DOI: 10.37418/amsj.9.3.79

Muhammad Gulistan, Mumtaz Ali, Muhammad Azhar, Seungmin Raho, Seifedine Kadry: Novel Neutrosophic Cubic Graphs Structures with Application in Decision Making Problems. IEEE Access, 17 p.; DOI: 10.1109/ACCESS.2019.2925040

M. Gulistan, I. Beg, A. Malik: Numerical techniques for solving bipolar neutrosophic system of linear equations. Journal of Linear and Topological Algebra, Vol. 10, No. 02, 2021, 101-116

A.A.A. Agboola: On Finite and Infinite NeutroRings of Type-NR. International Journal of Neutrosophic Science (IJNS) Vol. 11, No. 2, 87-99, 2020

A. Acikgoz, H. Cakalli, F. Esenbel, Lj. D. R. Kocinac: On G-continuity in neutrosophic topological spaces. AIP Conference Proceedings 2334, 020001 (2021), 5 p.; DOI: 10.1063/5.0042369

M. Hamidi: On neutro-d-subalgebras. Journal of Algebraic Hyperstructures and Logical Algebras, Volume 2, Number 2, (2021), pp. 13-23

Taha Yasin Ozturk, Elif Karatas, Adem Yolcu: On neutrosophic soft continuous mappings. Turkish Journal of Mathematics, (2021) 45: 81-95; DOI: 10.3906/mat-1912-113

V. Amarendra Babu, P.Rajasekhar: On Neutrosophic Crisp Supra Topological Spaces. International Journal of Mathematics Trends and Technology, Volume 67 Issue 2, 124-129, February 2021; DOI: 10.14445/22315373/IJMTT-V67I2P518

A. A. Salama, H. A. Elagamy: On Neutrosophic Fuzzy Ideal Concepts. International Journal of Neutrosophic Science (IJNS) Vol. 14, No. 2, 98-103, 2021

N. Gayathri, M. Helen, P. Mounika: On neutrosophic vague measure using Python. AIP Conference Proceedings 2261, 030036 (2020), 7 p.; DOI: 10.1063/5.0017191

N. M. Ali Abbas, Shuker Mahmood Khalil: On new classes of neutrosophic continuous and contra mappings in neutrosophic topological spaces. Int. J. Nonlinear Anal. Appl. 12(2021) No. 1, 719-725

A. R. Nivetha, M. Vigneshwaran, Nadia M. Ali Abbas, Shuker Mahmood Khalil: On 𝒩*ga-continuous in topological spaces of neutrosophy. Journal of Interdisciplinary Mathematics, 24:3, 677-685, DOI: 10.1080/09720502.2020.1860288

Samed Ozkan: On Single-Valued Neutrosophic Proximity Spaces. Fuzzy Information and Engineering, 16 p.; DOI: 10.1080/16168658.2020.1822082

Mohammad Abobala: On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations. Mathematical Problems in Engineering, Volume 2021, Article ID 5573072, 7 p.; DOI: 10.1155/2021/5573072

Madeleine Al-Tahan, Bijan Davvaz, Florentin Smarandache, Osman Anis: On Some NeutroHyperstructures. Symmetry 2021, 13, 535, 12 p.; DOI: 10.3390/sym13040535

Mohammad Abobala: On Some Neutrosophic Algebraic Equations. Journal of New Theory 33 (2020) 26-32, 8 p.

Mohammad Abobala: On Some Special Elements in Neutrosophic Rings and Refined Neutrosophic Rings. Journal of New Theory 33 (2020) 33-39, 7 p.

Mohammad Abobala: On the Representation of Neutrosophic Matrices by Neutrosophic Linear Transformations. Journal of Mathematics, Volume 2021, Article ID 5591576, 5 p.; DOI: 10.1155/2021/5591576

Mohammad Abobala: On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups. 2021, 8 p.; HAL ID: hal-03232006

Xavier Adaikalaraj, Nivetha Martin, P. Pandiammal, N. Ramila Gandhi: Optimal ranking of nanotoxicity assesement methods using interval-valued neutrosophic multicriteria decision making. Materials Today: Proceedings, 4 p.; DOI: 10.1016/j.matpr.2020.10.994

Mohamed Gaber, Majed G. Alharbi, Abd Alwahed Dagestani, El-Saeed Ammar: Optimal Solutions for Constrained Bimatrix Games with Payoffs Represented by Single-Valued Trapezoidal Neutrosophic Numbers. Journal of Mathematics, Volume 2021, Article ID 5594623, 13 p.; DOI: 10.1155/2021/5594623

John Frederick D. Tapia: Optimal synthesis of multi-product energy systems under neutrosophic environment. Energy 229 (2021) 120745, 15 p.; DOI: 10.1016/j.energy.2021.120745

Marcel-Ioan Boloș, Ioana-Alexandra Bradea, Camelia Delcea: Optimization of Financial Asset Neutrosophic Portfolios. Mathematics 2021, 9, 1162, 36 p.; DOI: 10.3390/math9111162

Romualdas Bausys, Ingrida Lescauskiene, Rokas Semenas: Participant Trustworthiness Analysis In The Game-Based Urban Planning Processes By PROMETHEE-mGQNN Approach. Journal of Civil Engineering and Management, 2021 Volume 27 Issue 6: 427�440; DOI: 10.3846/jcem.2021.15263

R. Radha, A. Stanis Arul Mary: Pentapartitioned Neutrosophic Pythagorean Topological Spaces. International Research Journal of Modernization in Engineering Technology and Science, Volume 03, Issue 02, February 2021, 7 p.

R. Radha, A. Stanis Arul Mary: Pentapartitioned Neutrosophic Pythagorean Soft Set. Journal of Xi'an University of Architecture & Technology, Volume XIII, Issue 4, 2021, 9 p.

Ali Hussein Al-Marshadi, Ambreen Shafqat, Muhammad Aslam, Abdullah Alharbey: Performance of a New Time-Truncated Control Chart for Weibull Distribution Under Uncertainty. International Journal of Computational Intelligence Systems, 7 p.; DOI: 10.2991/ijcis.d.210331.001;

Abdullah M. Almarashi, Muhammad Aslam: Process Monitoring for Gamma Distributed Product under Neutrosophic Statistics Using Resampling Scheme. Hindawi: Journal of Mathematics, Volume 2021, Article ID 6635846, 12 p.; DOI: 10.1155/2021/6635846

Carlos Granados: Pyhthagorean neutrosophic b-open sets in pythagorean nutorsophic topological spaces. South Asian Journal of Mathematics 2020 , Vol. 10 (2) : 62-70

R. Jansi, K. Mohana: Pythagorean neutrosophic Subring of a ring. Journal of Computational Mathematica, Volume 4, Issue 2, 2020, 9 p.; DOI: 10.26524/cm74

Carlos Granados: Pythagorean Semi-Open Sets in Pythagorean Neutroshophic Pythagorean Spaces. Bulletin of The International Mathematical Virtual Institute, Vol. 11(2)(2021), 295-306; DOI: 10.7251/BIMVI2102295C

Shigui Du, Jun Ye, Rui Yong, Fangwei  Zhang: Q-Indeterminate Correlation Coefficient Between Simplified Neutrosophic Indeterminate Sets and Its Multicriteria Decision-Making Method. Journal of Civil Engineering and Management, 2021 Volume 27 Issue 6: 404�411; DOI: 10.3846/jcem.2021.15254

R. Radhaa, A.Stanis Arul Mary: Quadri Partitioned Neutrosophic Pythagorean Set. International Journal of Research Publication and Reviews, Vol (2) Issue (4) (2020), 276-281

S. Ramesh Kumar, A. Stanis Arul Mary: Quadri Partitioned Neutrosophic Soft Set. International Research Journal on Advanced Science Hub (IRJASH), Volume 03 Issue 02S February 2021, 7 p.

M. Mohanasundari, K. Mohana: Quadripartitioned Neutrosophic Mappings with its Relations and Quadripartitioned Neutrosophic Topology. Int. J. Math. And Appl., 9(1)(2021), 83-93

S. Ramesh Kumar, A. Stanis Arul Mary: Quadri Partitioned Neutrosophic Soft Topological Space. International Journal of Research Publication and Reviews, Vol (2) Issue (6) (2021), 67-72

Romualdas Bausys, Giruta Kazakeviciute-Januskeviciene: Qualitative Rating of Lossy Compression for Aerial Imagery by NeutrosophicWASPAS Method. Symmetry 2021, 13, 273, 26 p.; DOI: 10.3390/sym13020273

Muhammad Aslam: Radar data analysis in the presence of uncertainty. European Journal of Remote Sensing, 54:1, 140-144, DOI: 10.1080/22797254.2021.1886597

Y. Srinivasa Rao, D.Venkata Lakshmi: Radius and Diameter of Some Family of SV Neutrosophic Graphs. Palarch�s Journal Of Archaeology Of Egypt/Egyptology 17(9), 7 p.

Rozina Ali: Recent Advantages In Neutrosophic Module Theory. May 2021, 16 p.; DOI: 10.13140/RG.2.2.20193.02405

Lingling Mao: Reducts in single valued neutrosophic β-covering approximation spaces. Journal of Physics: Conference Series 1693 (2020) 012024, 7 p.; DOI: 10.1088/1742-6596/1693/1/012024

Hyoshin Kim, Hye-Young Jung: Ridge Fuzzy Regression Modelling for Solving Multicollinearity. Mathematics 2020, 8, 1572, 15 p.; doi:10.3390/math8091572

Suriana Alias, Daud Mohamad, Adibah Shuib: Roughness And Similarity Measure of Rough Neutrosophic Multisets Using Vectorial Model of Information. Journal of Quality Measurement and Analysis (JQMA) 16(2) 2020, 207-217

Muhammad Aslam, Muhammad Azam, Mohammed Albassam: Sampling Plan Using Process Loss Index Using Multiple Dependent State Sampling Under Neutrosophic Statistics. IEEE Access, Volume 7, 2019, 9 p.; DOI: 10.1109/ACCESS.2019.2906408

C. Sagaya Nathan Stalin, A.Rajkumar, Amala S. Richard: Selection of Agricultural Aircraft Using A Svtrn-Number Approach To Multi-Criteria Decision Making. Advances in Mathematics: Scientific Journal 9 (2020), no.8, 5971�5978, 8 p.; DOI: 10.37418/amsj.9.8.65

M. Sarwar Sindhu, Tabasam Rashid, Agha Kashif: Selection of Alternative under the Framework of Single-Valued Neutrosophic Sets. Neutrosophic Sets and Systems, Vol. 35, 2020, 17 p.

Abdul Samad, Rana Muhammad Zulqarnain, Emre Sermutlu, Rifaqat Ali, Imran Siddique, Fahd Jarad, Thabet Abdeljawad: Selection of an Effective Hand Sanitizer to Reduce COVID-19 Effects and Extension of TOPSIS Technique Based on Correlation Coefficient under Neutrosophic Hypersoft Set. Hindawi: Complexity, Volume 2021, Article ID 5531830, 22 pages; DOI: 10.1155/2021/5531830

K. Kalaiarasi, R.Divya: Shortest Path On Interval-Valued Triangular Neutrosophic Fuzzy Graphs With Application. Turkish Journal of Computer and Mathematics Education, Vol. 12 No. 11 (2021), 3680- 3693; DOI: 10.1016/j.matpr.2020.10.760

Lehua Yang, Dongmei Li, Ruipu Tan: Shortest Path Solution of Trapezoidal Fuzzy Neutrosophic Graph Based on Circle-Breaking Algorithm. Symmetry 2020, 12, 1360, 22 p.; DOI: 10.3390/sym12081360

Veerappan Chinnadurai, Albert Bobin: Simplified Intuitionistic Neutrosophic Soft Set and its Application on Diagnosing Psychological Disorder by Using Similarity Measure. Applications and Applied Mathematics: An International Journal (AAM), Vol. 16, Iss. 1, Article 34, 28 p.

Muhammad Aslam, G. Srinivasa Rao, Nasrullah Khan: Single‑stage and two‑stage total failure‑based group‑sampling plans for the Weibull distribution under neutrosophic statistics. Complex & Intelligent Systems, 10 p.; DOI: 10.1007/s40747-020-00253-1

Fahad Alsharari: �-Single Valued Extremally Disconnected Ideal Neutrosophic Topological Spaces. Symmetry 2021, 13, 53, 18 p.; DOI: 10.3390/sym13010053

A.S. Richard, A. Rajkumar: Single Valued Linear Octagonal Neutrosophic Number and Its Application in Minimal Spanning Tree. Advances in Mathematics: Scientific Journal 9 (2020), no.10, 7819�7827, 9 p.; DOI: 10.37418/amsj.9.10.14

Lazim Abdullah, Zheeching Ong, Shalela Mohd Mahali: Single-Valued Neutrosophic DEMATEL for Segregating Types of Criteria: A Case of Subcontractors� Selection. Hindawi: Journal of Mathematics, Volume 2021, Article ID 6636029, 12 p.; DOI: 10.1155/2021/6636029

Shchur Iryna, Yu Zhong, Wen Jiang, Xinyang Deng, Jie Geng: Single-Valued Neutrosophic Set Correlation Coefficient and Its Application in Fault Diagnosis. Symmetry 2020, 12, 1371, 13 p.; DOI: 10.3390/sym12081371

S. Narayanamoorthy, A. Chithra, Daekook Kang: Single Valued Trapezoidal Neutrosophic Multi-Criteria Decision Making Problems - PROMETHEE II. AIP Conference Proceedings 2261, 030033 (2020), 9 p.; DOI: 10.1063/5.0017064

X. Peng, Q. W. Yang, F. J. Qin: Size Effect on Recycled Concrete Strength and Its Prediction Model Using Standard Neutrosophic Number. Hindawi: Advances in Civil Engineering, Volume 2021, Article ID 6634772, 11 p.; DOI: 10.1155/2021/6634772

Hamiden Abd El-Wahed Khalifa, Pavan Kumar: Solving fully neutrosophic linear programming problem with application to stock portfolio selection. Croatian Operational Research Review (CRORR) 11(2020), 165-176

Abdullah Ali H. Ahmadini, Firoz Ahmad: Solving intuitionistic fuzzy multiobjective linear programming problem under neutrosophic environment. AIMS Mathematics, 6(5): 4556�4580; DOI: 10.3934/math.2021269

M. Revathy, A. Sahaya Sudha: Solving LPP with stochastic neutrosophic Pythagorean Z numbers. AIP Conference Proceedings 2261, 030088 (2020), 15 p.; DOI: 10.1063/5.0016820

R. Binu, Paul Isaac: Some Characterizations of Neutrosophic Submodules of an R-module. Applied Mathematics and Nonlinear Sciences, 14 p., 2020; DOI:10.2478/AMNS.2020.2.00078

G. Hari Siva Annam, N. Raksha Ben: Some new open sets in μν topological space. Malaya Journal of Matematik, Vol. 9, No. 1, 89-94, 2021; DOI: 10.26637/MJM0901/0014

Surapati Pramanik, S. Dalapati, A. Alam, T. K. Roy: Some Operations and Properties of Neutrosophic Cubic Soft Set. Glob J Res Rev. 2017, 4:2, 8 p.

Yilmaz Ceven, Serife Sultan Tekin: Some Properties of Neutrosophic Integers. Kirklareli University Journal of Engineering and Science 6-1(2020) 50-59

Arif Mehmood, Saleem Abdullah, Mohammed M. Al-Shomrani, M. Imran Khan, Orawit Thinnukool: Some Results in Neutrosophic Soft Topology Concerning Neutrosophic Soft ∗b Open Sets. Hindawi: Journal of Function Spaces, Volume 2021, Article ID 5544319, 15 p.; DOI: 10.1155/2021/5544319

Vakeel A. Khan, Mohammad Daud Khan, Mobeen Ahmad: Some Results of Neutrosophic Normed Spaces via Fibonacci Matrix. U.P.B. Sci. Bull., Series A, Vol. XX, Iss. 2, 2019, 14 p.

Muhammad Ahsan ul Haq, Mohammed Albassam, Muhammad Aslam, Sharqa Hashmi: Statistical Inferences on Odd Frechet Power Function Distribution. Journal of Reliability and Statistical Studies, Vol. 14, Issue 1 (2021), 141�172; DOI: 10.13052/jrss0974-8024.1417

Cristoval Rey Saquilanda, Rogelio Melendez Carballido, Tito Hugo Coral Palacios, Karina Perez Teruel: Study of The Relevance of The Judicial Processes in The Crimes of Slander in The Absence of The Accused; To Guarantee The Right To Defense of The Defendant, with The Use of The Neutrosophics AHP Method. Universidad y Sociedad, 13(S1), 8-15.

Xiaogang An, Mingming Chen: Study of Two Kinds of Quasi AG-Neutrosophic Extended Triplet Loops. Hindawi: Journal of Mathematics, Volume 2021, Article ID 6649751, 10 p.; DOI: 10.1155/2021/6649751

Yao Fei: Study on neutrosophic graph with application in wireless network. CAAI Trans. Intell. Technol., 2020, Vol. 5, Iss. 4, pp. 301�307; DOI: 10.1049/trit.2020.0093

Ruxiang Liu: Study on single-valued neutrosophic graph with application in shortest path problem. CAAI Trans. Intell. Technol., 2020, Vol. 5, Iss. 4, pp. 308�313; DOI: 10.1049/trit.2020.0111

Hassan Hashemi, Parviz Ghoddousi, Farnad Nasirzadeh: Sustainability Indicator Selection by a Novel Triangular Intuitionistic Fuzzy Decision-Making Approach in Highway Construction Projects. Sustainability 2020, 13, 1477, 25 p.; DOI: 10.3390/su13031477

Muhammad Aslam: Testing average wind speed using sampling plan for Weibull distribution under indeterminacy. Nature: Scientific Reports (2021) 11:7532, 9 p.; DOI: 10.1038/s41598-021-87136-8

Muhammad Aslam, Osama H. Arif: Testing of Grouped Product for theWeibull Distribution Using Neutrosophic Statistics. Symmetry 2018, 10, 403, 10 p.; DOI: 10.3390/sym10090403

Mohammed A. Al Shumrani, Muhammad Gulistan, Salma Khan: The Neutro-Stability Analysis of Neutrosophic Cubic Sets with Application in Decision Making Problems. Journal of Mathematics, Volume 2020, Article ID 8835019, 16 p.; DOI: 10.1155/2020/8835019

Dongsik Jo, S. Saleh, Jeong-Gon Lee, Kul Hur, Chen Xueyou: Topological Structures via Interval-Valued Neutrosophic Crisp Sets. Symmetry 2020, 12, 2050, 29 p.; DOI: 10.3390/sym12122050

Truong Thi Thuy Duong, Nguyen Xuan Thao: TOPSIS model based on entropy and similarity measure for market segment selection and evaluation. Emerald Insight, 2021, 10 p.

A. Solairaju, M. Shajahan: Transforming Neutrosophic Fuzzy Set into Fuzzy Set by Imprecision Method. Journal of Computer and Mathematical Sciences, Vol.9(10),1392-1399 October 2018, 8 p.

Muhammet Deveci, Nuh Erdogan, Umit Cali, Joseph Stekli, Shuya Zhong: Type-2 neutrosophic number based multi-attributive border approximation area comparison (MABAC) approach for offshore wind farm site selection in USA. Engineering Applications of Artificial Intelligence 103 (2021) 104311, 14 p.

Edward Samuel, R. Narmadhagnanam: Utilization of Rough Neutrosophic Sets in Medical Diagnosis. International Journal of Engineering Science Invention (IJESI), Volume 7 Issue 3 Ver. V, March 2018, 5 p.

Maria Letizia Guerra, Laerte Sorini: Value at Risk Based on Fuzzy Numbers. Axioms 2020, 9, 98, 15 p.; DOI: 10.3390/axioms9030098

Caglar Karamasa, Ezgi Demir, Salih Memis, Sel�uk Korucuk: Weighting The Factors Affecting Logistics Outsourcing. Decision Making: Applications in Management and Engineering, Vol. 4, Issue 1, 2020, pp. 19-32

N. Moogambigai, A. Vadivel, S. Tamilselvan: Z-open sets in a Neutrosophic Topological Spaces. Turkish Journal of Computer and Mathematics Education, Vol.12 No. 1S (2021), 357- 362, 6 p. 

Sudan Jha, Gyanendra Prasad Joshi, Lewis Nkenyereya, Dae Wan Kim, Florentin Smarandache: A Direct Data-Cluster Analysis Method Based on Neutrosophic Set Implication. Computers, Materials & Continua, 2020, vol. 65, no. 2, 1203-1220

Dragisa Stanujkic, Darjan Karabasevic, Florentin Smarandache, Gabrijela Popovic: A Novel Approach for Assessing the Reliability of Data Contained in a Single Valued Neutrosophic Number and its Application in Multiple Criteria Decision Making. International Journal of Neutrosophic Science (IJNS), 2020, Vol. 11, No. 1, 22-29

Kritika Mishra, Ilanthenral Kandasamy, Vasantha Kandasamy W. B., Florentin Smarandache: A Novel Framework Using Neutrosophy for Integrated Speech and Text Sentiment Analysis. Symmetry, 2020, 12, 1715. DOI: 10.3390/sym12101715

Mohamed Abdel-Basset, M. Gunasekaran, Mai Mohamed, Florentin Smarandache: A novel method for solving the fully neutrosophic linear programming problems. Neural Computing and Applications. Posted on 06 March 2018.

M. Parimala, M. Karthika, F. Smarandache: A Review of Fuzzy Soft Topological Spaces, Intuitionistic Fuzzy Soft Topological Spaces and Neutrosophic Soft Topological Spaces. International Journal of Neutrosophic Science (IJNS), Vol. 10, No. 2, PP. 96-104, 2020

Ahmed Mostafa Khalil, Dunqian Cao, A. A. Azzam, Florentin Smarandache, W. Alharbi: Combination of the Single-Valued Neutrosophic Fuzzy Set and the Soft Set with Applications in Decision-Making. Symmetry 2020, 12, 1361. DOI:10.3390/sym12081361

Fahad Alsharari, F. Smarandache, Yaser Saber: Compactness on Single-Valued Neutrosophic Ideal Topological Spaces. Neutrosophic Sets and Systems, Vol. 41, 127-145, 2021

Anam Luqman, Muhammad Akram, Florentin Smarandache: Complex Neutrosophic Hypergraphs: New Social Network Models. Algorithms 2019, 12, 234. DOI:10.3390/a12110234

Nivetha Martin, Priya R., Florentin Smarandache: Decision Making on Teachers� adaptation to Cybergogy in Saturated Interval-valued Refined Neutrosophic overset /underset /offset Environment. International Journal of Neutrosophic Science (IJNS) Vol. 12, No. 2, 58-70, 2020

Atiqe Ur Rahman, Muhammad Saeed, Florentin Smarandache, Muhammad Rayees Ahmad: Development of Hybrids of Hypersoft Set with Complex Fuzzy Set, Complex Intuitionistic Fuzzy set and Complex Neutrosophic Set. Neutrosophic Sets and Systems,Vol. 38, 336-354, 2020

Victor Christianto, Florentin Smarandache: Exploring the Historical Debates on Irrational Numbers Using Neutrosophic Logic as a Balance between Intuition and Rational. EC Neurology 13.6 (2021): 28-36

Rana Muhammad Zulqarnain, Xiao Long Xin, Muhammad Saeed, Florentin Smarandache, Nadeem Ahmad: Generalized Neutrosophic TOPSIS to Solve Multi-Criteria Decision-Making Problems. Neutrosophic Sets and Systems, Vol. 38, 276-292, 2020

Ilanthenral Kandasamy, W. B. Vasantha Kandasamy, Jagan M. Obbineni, Florentin Smarandache: Indeterminate Likert scale: feedback based on neutrosophy, its distance measures and clustering algorithm. Soft Computing (2020) 24:7459�7468. DOI: 10.1007/s00500-019-04372-x

S. Krishna Prabha, Said Broumi, Florentin Smarandache: Interval Valued Neutrosophic Shortest Path Problem by A* Algorithm. International Journal of Neutrosophic Science (IJNS), Vol. 11, No. 1, 53-61, 2020

Kawther F. Alhasan, A.A. Salama, Florentin Smarandache: Introduction to Neutrosophic Reliability Theory. International Journal of Neutrosophic Science (IJNS), Vol. 15, No. 1, 52-61, 2021

Florentin Smarandache: Introduction to Neutrosophic Genetics. International Journal of Neutrosophic Science (IJNS), 2020, 5 p.

Victor Christianto, Florentin Smarandache: Leading From Powerlessness: A Third-way Neutrosophic Leadership Model For Developing Countries. International Journal of Neutrosophic Science (IJNS), Vol. 13, No. 2, 95-103, 2021

Sara Farooq, Ali Hamza, Florentin Smarandache: Linear and Non-Linear Decagonal Neutrosophic numbers: Alpha Cuts, Representation, and solution of large MCDM problems. International Journal of Neutrosophic Science (IJNS) Vol. 14, No. 1, 24-41, 2021

Said Broumi, Florentin Smarandache: More on Intuitionistic Neutrosophic Soft Sets. Computer Science and Information Technology 1(4): 257-268, 2013. DOI: 10.13189/csit.2013.010404

Dragisa Stanujkic, Darjan Karabasevic, Gabrijela Popovic, Florentin Smarandache, Edmundas Kazimieras Zavadskas, Ieva Meidute-Kavaliauskiene: Multiple-criteria Decision-making Based on the Use of Single-valued Neutrosophic Sets and Similarity Measures. Economic Computation and Economic Cybernetics Studies and Research, Issue 2/2021, Vol. 55, 5-22. DOI: 10.24818/18423264/55.2.21.01

Nivetha Martin, Florentin Smarandache, Akbar Rezaei: Multi-Strategy Decision-Making On Enhancing Customer Acquisition Using Neutrosophic Soft Relational Maps. 7 p.

Florentin Smarandache: Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set. Journal of Defense Resources Management, No. 1 (1), 107-116, 2010

Florentin Smarandache: Neutrosophic social structures specificities. Social Sciences and Education Research Review (2) 1, 3-10, 2015

Selvaraj Ganesan, Florentin Smarandache: Neutrosophic Biminimal alfa-Open Sets. Bull. Int. Math. Virtual Inst., Vol. 11(3)(2021), 545-553. DOI: 10.7251/BIMVI2103545G

Florentin Smarandache, Daniela Gifu, Mirela Teodorescu: Neutrosophic elements in discourse. Social Sciences and Education Research Review (2) 1, 25-32, 2015

S. Ganesan, C. Alexander, A. Pandi, F. Smarandache: Neutrosophic Micro Ideal Topological Structure. Int. J. Math. And Appl., 9(2), 127-136, 2021

Nivetha Martin, M. Kasi Mayan, Florentin Smarandache: Neutrosophic Optimization of Industry 4.0 Production Inventory Model. Neutrosophic Sets and Systems, Vol. 38, 470-481, 2020

Madad Khan, Muhammad Zeeshan, Suhail Iqbal: Neutrosophic Variational Inequalities with Applications in Decision-Making. 17 p.

Muhammad Gulfam, Muhammad Khalid Mahmood, Florentin Smarandache, Shahbaz Ali: New Dombi aggregation operators on bipolar neutrosophic set with application in multi-attribute decision-making problems. Journal of Intelligent & Fuzzy Systems 40 (2021) 5043�5060. DOI:10.3233/JIFS-201762

M. Parimala, M. Karthika, S. Jafari, F. Smarandache: New type of neutrosophic supra connected space. Bull. Pure Appl. Sci. Sect. E Math. Stat. 39E(2), 225�231 (2020). DOI: 10.5958/2320-3226.2020.00024.7

Ahmed B. Al-Nafee, Florentin Smarandache, A. A. Salama: New Types of Neutrosophic Crisp Closed Sets. Neutrosophic Sets and Systems 36, 1 (2020)

Victor Christianto, Florentin Smarandache: On Post-Empiricism doctrine and Neutrosophic way of doing science: From Principle of Parsimony to three examples in physics. 17 p.

Kalaivani Chandran, Swathi Sundari Sundaramoorthy, Florentin Smarandache, Saeid Jafari: On Product of Smooth Neutrosophic Topological Spaces. Symmetry 2020, 12, 1557. DOI:10.3390/sym12091557

Madeleine Al-Tahan, Bijan Davvaz, Florentin Smarandache, Osman Anis: On Some NeutroHyperstructures. Symmetry 2021, 13, 535. DOI: 10.3390/sym13040535

Maikel Leyva-V�zquez, Florentin Smarandache: Solving neutrosophic linear equations systems using symbolic computation. Neutrosophic Computing and Machine Learning, Vol. 15, 41-46, 2021

Selvaraj Ganesan, Florentin Smarandache: Some new classes of neutrosophic minimal open sets. Asia Mathematika, Volume 5, Issue 1 (2021), 103-112

Florentin Smarandache: Structure, NeutroStructure, and AntiStructure in Science. International Journal of Neutrosophic Science (IJNS) Vol. 13, No. 1, 28-33, 2021

Ngan This Roan, Salvador Coll Arnau, Marina Alonso Diaz, Juan Miguel Martinez Rubio, Pedro Lopez, Fran Andujar, Son Hoan Le, Mank Van Vu, Florentin Smarandache: The Picture Fuzzy Distance Measure in Controlling Network Power Consumption. J. Fuzzy Ext. Appl., vol. 1, no. 3, 148-167, 2020

Riad K. Al-Hamido, Mayas Ismail, Florentin Smarandache: The Polar form of a Neutrosophic Complex Number. International Journal of Neutrosophic Science (IJNS) Vol. 10, No. 1, 36-44, 2020

Florentin Smarandache: The Score, Accuracy, and Certainty Functions determine a Total Order on the Set of Neutrosophic Triplets (T, I, F). Neutrosophic Sets and Systems, Vol. 38, 2020, 14 p.

Florentin Smarandache, Said Broumi: True-False Set is a particular case of the Refined Neutrosophic Set. International Journal of Neutrosophic Science (IJNS) Vol. 12, No. 1, 9-12, 2020

Necip ŞIMŞEK, Murat KIRIŞCI, FIXED POINT THEOREMS IN NEUTROSOPHIC METRIC SPACES, Sigma J Eng & Nat Sci 10 (2), 2019, 221-230.

Murat Kirisci�Necip Simsek, Neutrosophic normed spaces and statistical convergence, The Journal of Analysis, 11 April 2020, https://doi.org/10.1007/s41478-020-00234-0

Florentin Smarandache, Improved Definition of NonStandard Neutrosophic Logic and Introduction to Neutrosophic Hyperreals (Third version) - Imamura proven wrong, arXiv, Cornell University, New York City, USA, https://arxiv.org/ftp/arxiv/papers/1812/1812.02534.pdf, https://fs.unm.edu/NonStandardAnalysis-Imamura-proven-wrong.pdf

"We point out several errors and false statements by Imamura [21] with respect to the inf/sup of nonstandard subsets, also Imamura�s �rigorous definition of neutrosophic logic� is wrong and the same for his definition of nonstandard unit interval, and we prove that there is not a total order on the set of hyperreals (because of the newly introduced Neutrosophic Hyperreals that are indeterminate), whence the transfer principle is questionable."
 

Florentin Smarandache: About Nonstandard Neutrosophic Logic (Answers to Imamura�s �Note on the Definition of Neutrosophic Logic�). Published in arXiv, Cornell University, https://arxiv.org/ftp/arxiv/papers/1812/1812.02534.pdf.

Chao Zhang, Deyu Li, Xiangping Kang, Yudong Liang, Said Broumi and Arun Kumar Sangaiah, Multi-Attribute Group Decision Making Based on Multigranulation Probabilistic Models with Interval-Valued Neutrosophic Information, Mathematics 2020, 8, 223.

Chao Zhang, Deyu Li, Xiangping Kang, Dong Song, Arun Kumar Sangaiahd, Said Broumi, Neutrosophic fusion of rough set theory: An overview, Computers in Industry 115 (2020) 103117

Chao Zhang, Yanhui Zhai, Deyu Li, and Yimin Mu, Steam turbine fault diagnosis based on single-valued neutrosophic multigranulation rough sets over two universes, Journal of Intelligent & Fuzzy Systems 31 (2016) 2829�2837, IOS Press.

Maissam Jdid, Florentin Smarandache (2023): Double Indeterminacy - Neutrosophic study of an Approximation Techniques Used to Find Random Variables. Prospects for Applied Mathematics and Data Analysis 3(1), 21-28.

Maissam Jdid, Florentin Smarandache (2023): Graphical Method for Solving Neutrosophical Nonlinear Programming Models. International Journal of Data Science and Big Data Analytics 3(2), 66-72.

Florentin Smarandache (2023): Foundation of Appurtenance and Inclusion Equations for Constructing the Operations of Neutrosophic Numbers Needed in Neutrosophic Statistics (revised). Prospects for Applied Mathematics and Sata Analysis 3(1), 29-48.

Maissam Jdid, Florentin Smarandache (2024): Converting Some Zero-One Neutrosophic Nonlinear Programming Problems into Zero-One Neutrosophic Linear Programming Problems. Neutrosophic Optimization and Intelligent Systems 1, 39-45.

Sarannya Kumari R., Sunny Joseph Kalayathankal, Mathews M. George, Florentin Smarandache (2024): An Entropy Measure for n-Cylindrical Fuzzy Neutrosophic Sets. Neutrosophic Optimization and Intelligent Systems 3, 23-31.

Fahad Alsharari, Hanan Alohali, Yaser Saber, Florentin Smarandache (2024): An Introduction to Single-Valued Neutrosophic Primal Theory. Symmetry 16, 402.

Maissam Jdid, Florentin Smarandache, Khalifa Al Shaqsi (2024): Generating Neutrosophic Random Variables Based Gamma Distribution. Plithogenic Logic and Computation 1, 16-24

Rehan Ahmad Khan Sherwani, Sadia Iqbal, Shumaila Abbas, Muhammad Saleem, Muhammad Aslam, Florentin Smarandache (2024): Neutrosophic discrete geometric distribution. Advances and Applications in Statistics 91(7) (2024), 855-877.

Florentin Smarandache (2024): Neutrosophic TwoFold Algebra. Plithogenic Logic and Computation 1, 11-15.

Florentin Smarandache (2024): Note on Partial Falsifiability of Fuzzy and Fuzzy-Extension Hypotheses. Plithogenic Logic and Computation 1, 93-95.

Fahad Alsharari, Yaser Saber, Hanan Alohali, Mesfer H. Alqahtani, Mubarak Ebodey, Tawfik Elmasry, Jafar Alsharif, Amal F. Soliman, Florentin Smarandache, Fahad Sikander (2024): On stratified single-valued soft topogenous structures. Heliyon 10, e27926, 23 p.

Abdulrahman AlAita, Muhammad Aslam, Florentin Smarandache (2024): Row-column designs: a novel approach for analyzing imprecise and uncertain observations. Advances and Applications in Statistics 91(5), 657-671.

Yaser Saber, Mohamed Abusalih, Esam Bader, Tawfik Elmasry, Abdelaziz Babiker, Florentin Smarandache (2024): Single-Valued Neutrosophic Ideal Approximation Spaces. International Journal of Analysis and Applications 22, 26-42.

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Florentin Smarandache (2024): Super Hiper Funcion y Super Hiper Estructura y sus correspondientes Super Hiper Funcion Neutrosofica y Super Hiper Estructura Neutrosofica (Super Hyper Function and Super Hyper Structure and their corresponding Neutrosophic Super HyperFunction and Neutrosophic Super Hyper Structure). Neutrosophic Computing and Machine Learning 31, 353-359

Maissam Jdid, Florentin Smarandache (2024): The Box and Muller Technique for Generating Neutrosophic Random Variables Follow a Normal Distribution. International Journal of Neutrosophic Science 23(4), 83-87.

Florentin Smarandache (2024): Upside-Down Logics: Falsification of the Truth and Truthification of the False. Systems Assessment and Engineering Management 1, 1-7.

S. A. Edalatpanah, Florentin Smarandache (2022): Introduction to the Special Issue on Advances in Neutrosophic and Plithogenic Sets for Engineering and Sciences: Theory, Models, and Applications. Computer Modeling in Engineering & Sciences, 2 p.

Victor Christianto, Florentin Smarandache (2024): A Refined Neutrosophic Components into Subcomponents with Plausible Applications to Long Term Energy Planning Predominated by Renewable Energy. Plithogenic Logic and Computation 1, 54-60.

Florentin Smarandache (2024): Fundamentos de Topologias de Vanguardia (Fundamentals of Vanguard Topologies). Neutrosophic Computing and Machine Learning 31, 22 p.

Michael Gr. Voskoglou, Florentin Smarandache, Mona Mohamed (2024): q-Rung Neutrosophic Sets and Topological Spaces. Neutrosophic Systems with Applications 15, 58-66.

Guven Kara: Interval Valued Neutrosophic Soft Graphs (in Turkish). PhD Thesis, University of Ordu, Institute for Graduate Studies in Natural and Technology, Department of Mathematics, 2019, 161p.

Somayeh Khademan: (Fuzzy and neutrosophic) soft hyper BCK-ideals. PhD Thesis, Tarbiat Modares University, Department of Mathematics, 2019, 91 p.

M. Latha Maheswari: Interval Type-2 Fuzzy Sets and Interval Neutrosophic Sets in Intelligent Systems. PhD Thesis, Hindustan Institute of Technology and Science, Department of Mathematics, Padur, Kelambakkam, Chennai, 2019, 435 p.

Moges Mekonnen Shalla: On Neutrosophic Extended Triplet Group Action. MSc Thesis in Mathematics, Gaziantep University, Graduate School of Natural & Applied Sciences, Turkey, 2019, 61 p.

Peng-Fei Cheng, Dan-Ping Li, Ji-Qun He, Xiang-Hong Zhou, Jian-Qiang Wang, Hong-Yu Zhang: Evaluating Surgical Risk Using FMEA and MULTIMOORA Methods under a Single-Valued Trapezoidal Neutrosophic Environment. Risk Management and Healthcare Policy 2020:13, 865-881, www.dovepress.com

B. Hu, Q. Li: Tree Species Classification Based on Neutrosophic Logic and Dempster-Shafer Theory. ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Volume 3, 2020, 241-246; XXIV ISPRS Congress (2020 edition); https://doi.org/10.5194/isprs-annals-V-3-2020-241-2020

Muhammad Aslam, Abdulmohsen Al Shareef, Khushnoor Khan: Monitoring the temperature through moving average control under uncertainty environment. Sc. Rep. (2020) 10:12182.

Bo Li, Zeshui Xu, Edmundas Kazimieras Zavadskas, Jurgita Antucheviciene, Zenonas Turskis: A Bibliometric Analysis of Symmetry (2009�2019). Symmetry 2020, 12, 1304, 18 p.; DOI: 10.3390/sym12081304; www.mdpi.com/journal/symmetry

Metawee Songsaeng, Aiyared Iampan: A novel approach to neutrosophic sets in UP-algebras. J. Math. Computer Sci., 21 (2020), 78�98; DOI: 10.22436/jmcs.021.01.08; www.isr-publications.com/jmcs

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Hamiden Khalifa: An Approach to The Optimization of Multi-Objective Assignment Problems with Neutrosophic Numbers. International Journal of Industrial Engineering & Production Research, June 2020 Vol. 31, No. 2: 287-294; DOI: 10.22068/ijiepr.31.2.287

Zahid Khan, Muhammad Gulistan, Wathek Chammam, Seifedine Kadry, Yunyoung Nam: A New Dispersion Control Chart for Handling the Neutrosophic Data. IEEE Access, 11 p.; DOI: 10.1109/ACCESS.2020.2995998

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Shakhawan H. Wady, Raghad Z. Yousif, Harith R. Hasan: A Novel Intelligent System for Brain Tumor Diagnosis Based on a Composite Neutrosophic-Slantlet Transform Domain for Statistical Texture Feature Extraction. Hindawi, BioMed Research International, Volume 2020, Article ID 8125392, 21 pages; https://doi.org/10.1155/2020/8125392

S.A. Edalatpanah: Data envelopment analysis based on triangular neutrosophic numbers. CAAI Transactions on Intelligence Technology, IET, Chinese Association for Artificial Intelligence and Chongqing University of Technology, 5 p.; DOI: 10.1049/trit.2020.0016; www.ietdl.org

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A.A. Salama, Ahmed Sharaf Al-Din, Issam Abu Al-Qasim, Rafif Alhabib, Magdy Badran: Introduction to Decision Making for Neutrosophic Environment �Study on the Suez Canal Port, Egypt�. Neutrosophic Sets and Systems, Vol. 53, 2020, 24 p.

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Akanksha Singh: Modified Method For Solving Non-Linear Programming For Multi-Criteria Decision Making Problems Under Interval Neutrosophic Set Environment. Mathematical Sciences International Research Journal Volume 7 - Spl Issue, December 2018, 41-52

Minxia Luo, Lixian Wu, Kaiyan Zhou, Huarong Zhang: Multi-criteria decision making method based on the single valued neutrosophic sets. Journal of Intelligent & Fuzzy Systems 37 (2019) 2403�2417, DOI:10.3233/JIFS-182723

Dragisa Stanujkic, Ieva Meidute-Kavaliauskiene, Darjan Karabasevic: Ranking Methods of Single Valued Neutrosophic Numbers and Its Applications To Multiple Criteria Decision Making. EEE 2019, 149-154

Lehua Yang, Dongmei Li, Ruipu Tan: Shortest Path Solution of Trapezoidal Fuzzy Neutrosophic Graph Based on Circle-Breaking Algorithm. Symmetry 2020, 12, 1360; DOI: 10.3390/sym12081360; www.mdpi.com/journal/symmetry

Naveen Bilandi, Harsh K. Verma, Renu Dhir: AHP-neutrosophic decision model for selection of relay node in wireless body area network. CAAI Transactions on Intelligence Technology, 8 p.; DOI: 10.1049/trit.2020.0059, www.ietdl.org

Zixue Guo, Fangfan Sun: A TODIM decision-making method in single-valued neutrosophic linguistic environment (in Chinese). 7 p.

Muhammad Aslam: On detecting outliers in complex data using Dixon�s test under neutrosophic statistics. Journal of King Saud University - Science, 4 p.; https://doi.org/10.1016/j.jksus.2020.02.003

Andrusa R. Vatuiu: Un roman in China: Conferinta Internationala de Neutrosofie 2019 (in Romanian). Destine literare, Anul 14, Nr. 50, 107-108

Muhammad Naveed Jafar, Ali Hamza, Sara Farooq: A Best Technique of Weight Lose using Fuzzy Soft Systems. International Journal of Computer Applications, Volume 176, No. 16, April 2020, 6 p.

T. Deepika, K. Mohana: A Chi-Square Distance-Based Similarity Measure of Single-Valued Neutrosophic Under Set and Applications. Journal of Information and Computational Science, Volume 10 Issue 2, 2020, 833-849; www.joics.org

Rohit Kumar Tiwari, Rakesh Kumar: A Framework for Prioritizing Cloud Services in Neutrosophic Environment. Journal of King Saud University - Computer and Information Sciences (2020), 22 p.; https://doi.org/10.1016/j.jksuci.2020.05.009

Jason Chih-sheng Chou, Yi-Fong Lin, Scott Shu-Cheng Lin: A Further Study on Multiperiod Health Diagnostics Methodology under a Single-Valued Neutrosophic Set. Hindawi, Computational and Mathematical Methods in Medicine, Volume 2020, Article ID 6093545, 11 pages, https://doi.org/10.1155/2020/6093545

Hazwani Hashim, Lazim Abdullah, Ashraf Al-Quran: Algebraic operations on new interval neutrosophic vague sets. ICoAIMS 2019, Journal of Physics: Conference Series 1366 (2019) 012062, IOP Publishing; DOI: 10.1088/1742-6596/1366/1/012062

Romualdas Bausys, Giruta Kazakeviciute-Januskeviciene, Fausto Cavallaro, Ana Usovaite: Algorithm Selection for Edge Detection in Satellite Images by Neutrosophic WASPAS Method. Sustainability 2020, 12, 548; DOI: 10.3390/su12020548; www.mdpi.com/journal/sustainability

Harish Garg, Nancy: Algorithms for single-valued neutrosophic decision making based on TOPSIS and clustering methods with new distance measure. AIMS Mathematics, 5(3): 2671�2693; DOI: 10.3934/math.2020173

Chao Tian, Juan Juan Peng: A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator. Mathematics 2020, 8, 1051; DOI: 10.3390/math8071051; www.mdpi.com/journal/mathematics

Ahmed I. Shahin, Sultan Almotairi: An Accurate and Fast Cardio-Views Classification System Based on Fused Deep Features and LSTM. IEEE Access, Volume 8, 2020, 11 p.; DOI: 10.1109/ACCESS.2020.3010326

Muhammad Junaid, Ye Xue, Muzzammil Wasim Syed, Ji Zu Li, Muhammad Ziaullah: A Neutrosophic AHP and TOPSIS Framework for Supply Chain Risk Assessment in Automotive Industry of Pakistan. Sustainability 2020, 12, 154; DOI: 10.3390/su12010154; www.mdpi.com/journal/sustainability

Amin Vafadarnikjoo, Madjid Tavana, Tiago Botelho, Konstantinos Chalvatzis: A Neutrosophic Enhanced Best-Worst Method for Considering Decision-Makers� Confidence in the Best and Worst Criteria. Annals of Operations Research, March 2020, 41 p.

Liangliang Jin, Chaoyong Zhang, Xiaoyu Wen, George Gershom Christopher: A Neutrosophic Number-Based Memetic Algorithm for the Integrated Process Planning and Scheduling Problem With Uncertain Processing Times. IEEE Access, Volume 8, 2020, 21 p.; DOI: 10.1109/ACCESS.2020.2996496

Andy St. Fort, Edwin K. P. Chong: A neutrosophic set-based computational model for a time-dependent decision-support system with multi-attribute criteria. IET Research Journals, 12 p., The Institution of Engineering and Technology 2015; www.ietdl.org

Zahid Khan, Muhammad Gulistan, Wathek Chammam, Seifedine Kadry, Yunyoung Nam: A New Dispersion Control Chart for Handling the Neutrosophic Data. IEEE Access, Volume 8, 2020, 10 p.; DOI: 10.1109/ACCESS.2020.2995998

Salah Hasan Al-subhi, Pedro Antonio Roman Rubio, Pedro Pinero Perez, Elpiniki I. Papageorgiou, Roberto Garcia Vacacela, Gaafar Sadeq S. Mahdi: A New Neutrosophic Clinical Decision Support Model for The Treatment of Pregnant Women with Heart Diseases. Revista Investigacion Operacional, Vol. 41 , No. 5, 780-790, 2020

Dongsheng Xu, Huaxiang Xian, Xiangxiang Cui, Yanran Hong: A New Single-valued Neutrosophic Distance for TOPSIS, MABAC and New Similarity Measure in Multi-Attribute Decision-Making. IAENG International Journal of Applied Mathematics, Volume 50, Issue 1: March 2020, 8 p.

Banu Pazar Varol, Vildan Cetkin, Halis Aygun: A New View On Neutrosophic Matrix. Journal of Hyperstructures 8 (1) (2019), 48-57.

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Nguyen Tho Thong, Luong Thi Hong Lan, Shuo-Yan Chou, Le Hoang Son, Do Duc Dong, Tran Thi Ngan: An Extended TOPSIS Method with Unknown Weight Information in Dynamic Neutrosophic Environment. Mathematics 2020, 8, 401; DOI: 10.3390/math8030401; www.mdpi.com/journal/mathematics

Amirhossein Nafei, Yongyi Gu, Wenjun Yuan: An Extension Of The Topsis For Multi-Attribute Group Decision Making Under Neutrosophic Environment. Miskolc Mathematical Notes 2020, 14 p.

Meena Arora: An Ideal Technique for Decision-Making Problems for Uncertain Data and Its Application In Medical Science. International Journal of Innovative Technology and Exploring Engineering (IJITEE), Volume 8, Issue 11, September 2019; DOI: 10.35940/ijitee.K1563.0981119

Mohammad Ayoub Khan: An IoT Framework for Heart Disease Prediction Based on MDCNN Classifier. IEEE Access, Volume 8, 2020.

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Mohamed Abdel-Basset, Rehab Mohamed, Karam Sallam, Mohamed Elhoseny: A novel decision-making model for sustainable supply chain finance under uncertainty environment. Journal of Cleaner Production (2020), 27 p.; https://doi.org/10.1016/j.jclepro.2020.122324

Darjan Karabasevic, Dragisa Stanujkic, Edmundas Kazimieras Zavadskas, Predrag Stanimirovic, Gabrijela Popovic, Bratislav Predic, Alptekin Ulutas: A Novel Extension of the TOPSIS Method Adapted for the Use of Single-Valued Neutrosophic Sets and Hamming Distance for E-Commerce Development Strategies Selection. Symmetry 2020, 12, 1263; DOI: 10.3390/sym12081263; www.mdpi.com/journal/symmetry

Fatemeh Zamani, Mohammad Hossein Olyaee, Alireza Khanteymoori: NCMHap: A novel method for haplotype reconstruction based on Neutrosophic c-means clustering. Research Square, 13 p.; https://www.researchsquare.com/article/rs-25693/v1

Chun-Ho Chen: A Novel Multi-Criteria Decision-Making Model for Building Material Supplier Selection Based on Entropy-AHP Weighted TOPSIS. Entropy 2020, 22, 259; DOI: 10.3390/e22020259; www.mdpi.com/journal/entropy

Veysi Bashan, Hakan Demirel, Muhammet Gul: A Novel Risk Evaluation Approach For Frequently Encountered Risks in Ship Engine Rooms. 24 p.; http://dx.doi.org/10.21278/brod71203

Nuh Alpaslan: A Novel Texture Classification Method Based on Neutrosophic Truth. Sakarya University Journal of Computer and Information Sciences, Vol. 3, No. 1, April 2020, DOI: 10.35377/saucis.03.01.709186

Muhammad Saeed, Muhammad Saqlain, Muhammad Riaz: Application of Generalized Fuzzy TOPSIS in Decision Making for Neutrosophic Soft Set to Predict the Champion of FIFA 2018: A Mathematical Analysis. Punjab University, Journal of Mathematics, Vol. 51(8) (2019) pp. 141-156

Amornrat Rattana, Ronnason Chinram: Applications of Neutrosophic N-Structures in n-Ary Groupoids. European Journal of Pure and Applied Mathematics, Vol. 13, No. 2, 2020, 200-215; https://doi.org/10.29020/nybg.ejpam.v13i2.3634

S. Saravanakumar: A Real Time Approach on Genetically Evolving Intrusion Detection using Neutrosophic Logic Inference System. International Conference on Computing Intelligence and Data Science (ICCIDS 2018), Department of Computer Studies of Sankara College of Science and Commerce Saravanampatty, Coimbatore; IOSR Journal of Engineering (IOSRJEN), 49-62; www.iosrjen.org

S. Mohammadi, S.A. Darestani, Behnam Vahdani Modelling, A. Alinezhad: A Robust Neutrosophic Fuzzy-based Approach to Integrate Reliable Facility Location and Routing Decisions for Disaster Relief under Fairness and Aftershocks Concerns. Computers & Industrial Engineering (2020); https://doi.org/10.1016/j.cie.2020.106734

Yunming Hui, Arindam Dey: A Study On Directed Neutrosophic Social Networks. IAENG International Journal of Applied Mathematics, Volume 50, Issue 2: June 2020, 8 p.

J.Lisy Bennet, Dr. S. Chandra Kumar: A Study on Graph Labeling Problems. Studies in Indian Place Names (UGC Care Journal), Vol. 40, Issue 60, March 2020, 12 p.

M. Mary Mejrullo Merlin, L. Arockia Angeline: A Study on Positive and Negative impacts of Wearable Technology using Neutrosophic Cognitive Map Approach. International Journal of Research, Volume 7, Issue X, October 2018, 769-775

Jwan Najeeb Saeed: A Survey of Ultrasonography Breast Cancer Image Segmentation Techniques. Academic Journal of Nawroz University (AJNU), Volume 9, No 1 (2019), 14 p.; DOI: 10.25007/ajnu.v9n1a523

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Fatemeh Abdolali, Atefeh Shahroudnejad, Abhilash Rakkunedeth Hareendranathan, Jacob L. Jaremko, Michelle Noga, Kumaradevan Punithakumar: A systematic review on the role of artificial intelligence in sonographic diagnosis of thyroid cancer: Past, present and future. IET Research Journals, 9 p., The Institution of Engineering and Technology 2015; arXiv:2006.05861v1 [eess.IV] 10 Jun 2020; www.ietdl.org

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Muhammad Riaz, Syeda Tayyba Tehrim: Bipolar fuzzy soft mappings with application to bipolar disorders. International Journal of Biomathematics, Vol. 12, No. 7 (2019) 1950080, 31 pages; DOI: 10.1142/S1793524519500803

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Mohammad Hamidi, Marzieh Rahmati, Akbar Rezaei: Boolean Expression Based on Hypergraphs with Algorithm. Algebraic Structures and Their Applications, 20 p.

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M. Mohamed Jabarulla: Computation of Shortest Path in A Network Using Trapezoidal Fuzzy Neutrosophic Number. Adalya Journal, Volume 8, Issue 12, December 2019, 72-77, http://adalyajournal.com/

Prishka F, Jayanthi D: Contra α Generalized Continuous Mappings in Neutrosophic Topological Spaces. IOSR Journal of Mathematics (IOSR-JM), Volume 15, Issue 2 Ser. II (Mar-Apr 2019), pp. 46-51; DOI: 10.9790/5728-1502024651; www.iosrjournals.org

Muhammad Riaz, Syeda Tayyba Tehrim: Cubic bipolar fuzzy ordered weighted geometric aggregation operators and their application using internal and external cubic bipolar fuzzy data. Computational and Applied Mathematics (2019) 38:87; https://doi.org/10.1007/s40314-019-0843-3

P. Murugadas, K. Balasubramaniyan, N. Vanmathi: Decomposition of Neutrosophic Fuzzy Matrices. Journal of Emerging Technologies and Innovative Research (JETIR), March 2019, Volume 6, Issue 3, www.jetir.org

Luis Miranda Chavez, Oscar Fabian Silva Montoya, Diego Vladimir Garces Mayorga: DEMATEL neutrosofico aplicado al estudio de los factores que influyen en el compromiso extracontractual del estado ecuatoriano. Revista Investigacion Operacional, Vol. 41 , No. 5, 622-628, 2020

Dongsheng Xu, Xiangxiang Cui, Lijuan Peng, Huaxiang Xian: Distance measures between interval complex neutrosophic sets and their applications in multi-criteria group decision making. AIMS Mathematics, 5(6): 5700�5715; DOI: 10.3934/math.2020365; http://www.aimspress.com/journal/Math

Mai Pham Quynh, Thuy Luong Thu, Quynh Doan Huong, Anh Pham Thi Van, Hien Ngo Van, Dan Nguyen Van: Distribution center location selection using a novel multi criteria decision-making approach under interval neutrosophic complex sets. Decision Science Letters 9 (2020) 501-510; DOI: 10.5267/j.dsl.2020.2.001; www.GrowingScience.com/dsl

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B. Chithra, R. Nedunchezhian: Dynamic neutrosophic cognitive map with improved cuckoo search algorithm (DNCM-ICSA) and ensemble classifier for rheumatoid arthritis (RA) disease. Journal of King Saud University - Computer and Information Sciences (2020), https://doi.org/10.1016/j.jksuci

Lin Lu, Xiaochun Luo: Emergency Transportation Problem Based on Single-Valued Neutrosophic Set. Hindawi, Discrete Dynamics in Nature and Society, Volume 2020, Article ID 4813497, 8 pages; https://doi.org/10.1155/2020/4813497

Carmen Valenzuela Chicaiza, Paola Yesenia Carrera Cuesta, Wilmer Arias Collaguazo, Karina Perez-Teruel: Evaluacion del la rentabilidad en el subsistema de operaciones como contribucion al control interno empresarial. Revista Investigacion Operacional Vol. 41 , No. 5, 722-729, 2020

Anh Duc Do, Minh Tam Pham, Thi Hang Dinh, The Chi Ngo, Quoc Dat Luu, Ngoc Thach Pham, Dieu Linh Ha, Hong Nhat Vuong: Evaluation of lecturers� performance using a novel hierarchical multi-criteria model based on an interval complex Neutrosophic set. Decision Science Letters 9 (2020) 119-144; DOI: 10.5267/j.dsl.2020.1.003; www.GrowingScience.com/dsl

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R. M. Umamageswari, G. Uthra: Generalized Single Valued Neutrosophic Trapezoidal Numbers and their Application to Solve Transportation Problem. Studia Rosenthaliana (Journal for the Study of Research) Volume XII, Issue I, January 2020, 164-170

Yuan Rong, Yi Liu, Zheng Pei: Generalized Single-Valued Neutrosophic Power Aggregation Operators Based on Archimedean Copula and Co-Copula and Their Application to

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Faizaan Naveed, Baoxin Hu, Jianguo Wang, G. Brent Hall: Individual Tree Crown Delineation Using Multispectral LiDAR Data. Sensors 2019, 19, 5421; DOI: 10.3390/s19245421; www.mdpi.com/journal/sensors

George Bala: Information Fusion Using Plithogenic Set and Logic. Acta Scientific Computer Sciences 2.7 (2020): 26-27

T. Marikani, K. Shyamala: Information Fusion Based on Modified Proportional Conflict Redistribution Rules for Cardio Vascular Disease Prediction. Alochana Chakra Journal, Volume IX, Issue IV, Aprilie 2020, 8 p.

Kiruthiga Gurumurthy, Mary Vennila Selvadurai: Intelligent Resource Scheduling with Neutrosophic Knowledge and Optimized Cache Management Using Cuckoo Search Method in Cloud Computing. International Journal of Intelligent Engineering and Systems, Vol. 13, No. 3, 2020; DOI: 10.22266/ijies2020.0630.30

Bazhdar N. SH. Mohammed, Raghad Z. Yousif: Intelligent System for Screening Diabetic Retinopathy by Using Neutrosophic and Statistical Fundus Image Features. ZANCO Journal of Pure and Applied Sciences, ZJPAS (2019), 31(6); 30-39; Scientific journal of Salahaddin University Erbil, https://zancojournals.su.edu.krd/index.php/JPAS; http://dx.doi.org/10.21271/zjpas

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Muhammad Aslam: Introducing Kolmogorov−Smirnov Tests under Uncertainty: An Application to Radioactive Data. ACS Omega, http://pubs.acs.org/journal/acsodf; DOI: 10.1021/acsomega.9b03940

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Aliosky Martinez Hernandez, Neilys Gonzalez Benitez: La neutrosofia para la toma de decisiones en los tratamientos m�dicos con aguas termales. XIII Congreso Internacional Informatica en Salud 2020, 6 p.

Irfan Deli: Linear Optimization Method On Single Valued Neutrosophic Set and Its Sensitivity Analysis. TWMS J. App. Eng. Math. V.10, N. 1, 2020, pp. 128-137

Harish Garg, Nancy: Linguistic Single-Valued Neutrosophic Power Aggregation Operators and Their Applications to Group Decision-Making Problems. IEEE/CAA Journal Of Automatica Sinica, Vol. 7, No. 2, March 2020, 13 p.; DOI: 10.1109/JAS.2019.1911522

Muhammad Riaz, Masooma Raza Hashmi: MAGDM for agribusiness in the environment of various cubic m-polar fuzzy averaging aggregation operators. IOS Press, Journal of Intelligent & Fuzzy Systems 37(3) (2019) 3671�3691; DOI: 10.3233/JIFS-182809

Nivetha Martin, S. Sudha: Managerial Decision Making Using Best Worst Method With Multi-Valued Neutrosophic Approach. Advances in Mathematics: Scientific Journal 9 (2020), no.4, 1761-1771, Spec. Issue on NCFCTA 2020; https://doi.org/10.37418/amsj.9.4.32

Aidar S. Puryaev, Arslan A. Puryaev: Mathematical Tooling of Accounting Non-Economic Characteristics During The Assessing Process of Investment Project Effectiveness. Entrepreneurship and Sustainability Issues, 2019 Volume 7 Number 2 (December), 22 p.; http://doi.org/10.9770/jesi.2019.7.2(23); http://jssidoi.org/jesi/

M. Mohseni Takallo, M. Aaly Kologani: MBJ-neutrosophic filters of equality algebras. Journal of Algebraic Hyperstructures and Logical Algebras, Volume 1, Number 2, (2020), pp. 57-75; https://doi.org/10.29252/HATEF.JAHLA.1.2.6

Young Bae Jun, Eun Hwan Roh: MBJ-neutrosophic ideals of BCK/BCI-algebras. Open Math. 2019; 17:588�601; https://doi.org/10.1515/math-2019-0106

Songtao Shao, Xiaohong Zhang: Measures of Probabilistic Neutrosophic Hesitant Fuzzy Sets and the Application in Reducing Unnecessary Evaluation

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Muhammad Naveed Jafar, Raiha Imran, Sabahat Hassan, Asma Riffat, Rubina Shuaib: Medical Diagnosis Using Neutrosophic Soft Matrices and Their Compliments. International Journal of Advanced Research in Computer Science, Volume 11, No. 1, January-February 2020, 4 p.; http://dx.doi.org/10.26483/ijarcs.v11i1.6505

Nguyen Tho Thong, Cu Nguyen Giap, Tran Manh Tuan, Pham Minh Chuan, Pham Minh Hoang, Do Duc Dong: Modeling Multi-Criteria Decision-Making in Dynamic Neutrosophic Environments Based on Choquet Integral. Journal of Computer Science and Cybernetics, V. 36, N. 1 (2020), 33-47; DOI: 10.15625/1813-9663/36/1/14368

Rokas Semenas, Romualdas Bausys: Modelling of Autonomous Search and Rescue Missions by Interval-Valued Neutrosophic WASPAS Framework. Symmetry 2020, 12, 162; DOI: 10.3390/sym12010162; www.mdpi.com/journal/symmetry

S. K. Das, J. K. Dash: Modified Solution for Neutrosophic Linear Programming Problems with Mixed Constraints. International Journal of Research in Industrial Engineering, Vol. 9, No. 1 (2020) 13-24; DOI: 10.22105/riej.2020.224198.1127

P. Murugadas, M. Kavitha, S. Sriram: Monotone fuzzy neutrosophic soft eigenspace structure in max-min algebra. AIP Conference Proceedings 2177, 020048 (2019); https://doi.org/10.1063/1.5135223

Shio Gai Quek, Ganeshsree Selvachandran, Muhammad Munir, Tahir Mahmood, Kifayat Ullah, Le Hoang Son, Pham Huy Thong, Raghvendra Kumar, Ishaani

Priyadarshini: Multi-Attribute Multi-Perception Decision-Making Based on Generalized T-Spherical Fuzzy Weighted Aggregation Operators on Neutrosophic

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Jianbo Liu, Yanan Chen, Ziyue Chen, Yanyan Zhang: Multi-Attribute Decision Making Method Based on Neutrosophic Vague N-Soft Sets. Symmetry 2020, 12, 853.

Chao Zhang, Deyu Li, Xiangping Kang, Yudong Liang, Said Broumi, Arun Kumar Sangaiah: Multi-Attribute Group Decision Making Based on Multigranulation Probabilistic Models with Interval-Valued Neutrosophic Information. Mathematics 2020, 8, 223.

Suman Das, Rakhal Das, Binod Chandra Tripathy: Multi-Criteria Group Decision Making Model Using Single-Valued Neutrosophic Set. Scientific Journal of Logistics, 2020, 16 (3), 421-429; http://doi.org/10.17270/J.LOG.2020.446

J. Q. Wang, X. H. Zhang: Multigranulation single valued neutrosophic covering-based rough sets and their applications to multi-criteria group decision making. Iranian Journal of Fuzzy Systems, 18 p.

Chao Zhang, Deyu Li 1, Xiangping Kang, Yudong Liang, Said Broumi and Arun Kumar Sangaiah, Multi-Attribute Group Decision Making Based on Multigranulation Probabilistic Models with Interval-Valued Neutrosophic Information, Mathematics 2020, 8, 223.

Lihua Yang, Baolin Li: Multiple-Valued Neutrosophic Uncertain Linguistic Sets With Dombi Normalized Weighted Bonferroni Mean Operator and Their Applications in Multiple Attribute Decision Making Problem. IEEE Access, VOLUME 8, 2020, 22 p.; DOI: 10.1109/ACCESS.2019.2963459

Mohsin Khalid, Neha Andaleeb Khalid, Hasan Khalid, Said Broumi: Multiplicative Interpretation of Neutrosophic Cubic Set on B-Algebra. International Journal of Neutrosophic Science (IJNS) Vol. 1, No. 1, pp. 58-67, 2020

Mohd Kamal, L. Abdullah: Multi-Valued Neutrosophic Soft Set. Malaysian Journal of Mathematical Sciences 13(S) December: 153-168 (2019), Special Issue: Conference on Mathematics, Informatics and Statistics (CMIS2018), http://einspem.upm.edu.my/journal

M. Avila Princy, A.Francina Shalini: N-Closed Sets in Neutrosophic Topological Spaces. INFOKARA Research, Volume 8, Issue 8, 2019, 540-546; http://infokara.com/

K. Damodharan, M. Vigneshwaran: N-Closed Sets in Neutrosophic Topological Spaces. Advances in Mathematics: Scientific Journal 9 (2020), no. 3, 819-829; https://doi.org/10.37418/amsj.9.3.10

Muhammad Gulistan, Ismat Beg, Muhammad Asif: Neutrosophic-Cubic Analytic Hierarchy Process with Applications. April 2020, 19 p.

P. Jeya Puvaneswari, K. Bageerathi, P. Selvan: Neutrosophic Feebly Normal Spaces. International Journal of Communication and Media Studies (IJCMS), Vol. 9, Issue 3, Jun 2019, 119-130, Paper Id.: IJCMSJUN201913

Md. Hanif Page, Qays Hatem Imran: Neutrosophic Generalized Homeomorphism. Neutrosophic Sets and Systems, Vol. 35, 2020, 7 p.

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Andrew Schumann: Neutrosophic logics on Non-Archimedean Structures. Belarusian State University, 23 p.

Mohamed Bisher Zeina: Neutrosophic M/M/1, M/M/c, M/M/1/b Queueing Systems. 18 p.

Cahit Aslan, Abdullah Kargin, Memet Sahin: Neutrosophic Modeling of Talcott Parsons�s Action and Decision-Making Applications for It. Symmetry 2020, 12, 1166; DOI: 10.3390/sym12071166; www.mdpi.com/journal/symmetry

Gholam Reza Rezaei, Rajab Ali Borzooei, Young Bae Jun: Neutrosophic Quadruple BCI-Commutative Ideals. Algebraic Structures and Their Applications Vol. 7, No. 2 (2020), pp 63-77; DOI:10.29252/as.2020.1794

Binu R., Paul Isaac: Neutrosophic Quotient Submodules and Homomorphisms. Punjab University Journal of Mathematics, Vol. 52(1) (2020), pp. 33-45

G. Sindhu: Neutrosophic Regular Generalized Star b-Closed Sets In Neutrosophic Topological Spaces. International Journal of Analytical and Experimental Modal Analysis, Volume XI, Issue XI, November 2019, 73-79

R. Suresh, S. Palaniammal: Neutrosophic Regular Weakly Generalized Homoeomorphism. International Journal of Analytical and Experimental Modal Analysis, Volume XI, Issue XII, December 2019, 7 p.

D. Savithiri, C. Janaki: Neutrosophic RW Continuity, Neutrosophic RW-Open Maps and Closed Maps. Bulletin of Mathematics and Statistics Research, Vol. 8, Issue 2, 2020 (April-June), 10 p.

M. Kaviyarasu, K. Indhira, V. M. Chandrasekaran: Neutrosophic Set in INK-Algebra. Advances in Mathematics: Scientific Journal 9 (2020), no. 7, 4345-4352; https://doi.org/10.37418/amsj.9.7.4

P. Evanzalin Ebenanjar, K. Sivaranjani, H. Jude Immaculate: Neutrosophic Soft B-Open Set. Advances in Mathematics: Scientific Journal 9 (2020), no.1, 405-416; https://doi.org/10.37418/amsj.9.1.32

Murat Kirisci, Necip Simsek: Neutrosophic Soft Sets With Medical Decisin-Making Applications. Sigma J Eng & Nat Sci 10 (2), 2019, 231-235

Arif Mehmood, Giorgio Nordo, Fawad Nadeem, Humaira Kalsoom, Shamoona Jabeen, Mehak Gul: Neutrosophic Soft s-Open Sets. Sohag Journal of Mathematics 2020, 10 p. http://dx.doi.org/10.18576/sjm/nosinss

Arif Mehmood, Fawad Nadeem, Choonkil Park, Gorge Nordo, Humaira Kalsoom, Muhammad Rahim Khan, Naeem Abbas: Neutrosophic Soft α-Open Set in Neutrosophic Soft Topological Spaces. Journal of Algorithms and Computation, 52, issue 1, June 2020, pp. 37-66; http://jac.ut.ac.ir

Seyyed Ahmad Edalatpanah: Neutrosophic structured element. Expert Systems 2020; e12542, 17 p.; https://doi.org/10.1111/exsy.12542

A. Olaru, S. Olaru, N. Mihai, N. Smidova: Neutrosophic Theory Applied in the Multi Objectives Optimization of the Robot�s Joints Accelerations with the Virtual LabVIEW Instrumentation. International Journal of Modeling and Optimization, Vol. 10, No. 3, June 2020, 7 p.; DOI: 10.7763/IJMO.2020.V10.751

S. Sathya Geetha, K. Selvakumari: Neutrosophic Transportation Problems Using Zero Suffix Method. International Conference on Physics and Photonics Processes in Nano Sciences, Journal of Physics: Conference Series 1362 (2019) 012097, 7 p., IOP Publishing; DOI: 10.1088/1742-6596/1362/1/012097

S. Subasri, K. Selvakumari: Neutrosophic Travelling Salesman Problem in Trapezoidal Fuzzy number using Branch and Bound Technique. International Conference on Physics and Photonics Processes in Nano Sciences, Journal of Physics: Conference Series 1362 (2019) 012098, IOP Publishing; DOI: 10.1088/1742-6596/1362/1/012098

A. Atkinswestley, S. Chandrasekar: Neutrosophic Weakly G*-Closed Sets. Advances in Mathematics: Scientific Journal 9 (2020), no. 5, 2853-2861; https://doi.org/10.37418/amsj.9.5.47

R. Suresh, S.Palaniammal: Neutrosophic Weakly π Generalized Continuous Mapping. Science, Technology and Development, Volume IX, Issue I, January 2020, 204-210

Metawee Songsaeng, Aiyared Iampan: Neutrosophic Sets in UP-Algebras by Means of Interval-Valued Fuzzy Sets. Journal of The International Mathematical Virtual Institute, Vol. 10(1)(2020), 93-122; DOI: 10.7251/JIMVI2001093S

Muhammad Aslam, Osama H. Arif, Rehan Ahmad Khan Sherwani: New Diagnosis Test under the Neutrosophic Statistics: An Application to Diabetic Patients. Hindawi, BioMed Research International, Volume 2020, Article ID 2086185, 7 pages; https://doi.org/10.1155/2020/2086185

R. Narmada Devi, R. Dhavaseelan: New Type Of Neutrosophic Off Graphs. Advances in Mathematics: Scientific Journal 9 (2020), no.3, 1331-1338, Spec. Issue on ICNTMMA; https://doi.org/10.37418/amsj.9.3.79

A. Vadivel, C. John Sundar: NNC  β-Open Sets. Advances in Mathematics: Scientific Journal 9 (2020), no.4, 2203-2207, Spec. Issue on NCFCTA 2020; https://doi.org/10.37418/amsj.9.4.82 

P. Jeya Puvaneswari, K. Bageerathi: On Neutrosophic Feebly Frontier in Neutrosophic Topological Spaces. International Journal of Mathematics Trends and Technology (IJMTT), Volume 65, Issue 4, April 2019, 95-100; http://www.ijmttjournal.org

A. Vadivel, C. John Sundar: γ-Open Sets in NNC-Topological Spaces. Advances in Mathematics: Scientific Journal 9 (2020), no.4, 2197-2202, Spec. Issue on NCFCTA 2020; https://doi.org/10.37418/amsj.9.4.81

M. Kavitha, P. Murugadas, S. Sriram: Periodicity of Interval Fuzzy Neutrosophic Soft Matrices. Advances in Mathematics: Scientific Journal 9 (2020), no.4, 1661-1670, Spec. Issue on NCFCTA 2020; https://doi.org/10.37418/amsj.9.4.22  

Shawkat Alkhazaleh: Plithogenic Soft Set. Neutrosophic Sets and Systems, Vol. 33, 2020, 20 p.

H. Mumtaj Begum, M. Umadevi, V. P. M. Senthil Nayaki, N. Martin: Polycystic Ovarian Syndrome A Threat To Infertility in Women - Diagnosis by Neutrosophic Linguistic Fuzzy Matrices. Advances in Mathematics: Scientific Journal 9 (2020), no. 5, 3067-3073; https://doi.org/10.37418/amsj.9.5.66

Huiling Xue, Xiaotong Yang, Chunfang Chen: Possibility Neutrosophic Cubic Sets and Their Application to Multiple Attribute Decision Making. Symmetry 2020, 12, 269.

Qurrotul Aini, Eva Khudzaeva: Potential Halal Tourism Destinations with Applying K-Means Clustering. I.J. Intelligent Systems and Applications, 2019, 9, 9-17; DOI: 10.5815/ijisa.2019.09.02

Sneha T.A., F. Nirmala Irudayam: Pythagorean Neutrosophic b-Open & Semi-Open Sets in Pythagorean Neutrosophic Topological Spaces. INFOKARA Research, Volume 9, Issue 1, 2020, 860-872

Wangtao Yuan, Xiaohong Zhang: Regular CA-Groupoids and Cyclic Associative Neutrosophic Extended Triplet Groupoids (CA-NETGroupoids) with Green Relations. Mathematics 2020, 8, 204; DOI: 10.3390/math8020204; www.mdpi.com/journal/mathematics

Harshitha A, Jayanthi D: Regular α Generalized Closed Set in Neutrosophic Topological Spaces. IOSR Journal of Mathematics (IOSR-JM), Volume 15, Issue 2 Ser. III (Mar � Apr 2019), pp. 11-18, www.iosrjournals.org

A. Vadivel, M. Navuluri, J. Sathiyaraj: Regular Semiclosed Sets On Neutrosophic Crisp Topological Spaces. Advances in Mathematics: Scientific Journal 9 (2020), no.4, 2191-2196, Spec. Issue on NCFCTA 2020; https://doi.org/10.37418/amsj.9.4.80

Lehua Yang, Dongmei Li, Ruipu Tan: Research on the Shortest Path Solution Method of Interval Valued Neutrosophic Graphs Based on the Ant Colony Algorithm. IEEE Access, 17 p.; DOI: 10.1109/ACCESS.2020.2990912

Xiaolu Long, Lizhi Liu, Can Xiao, Pengfei Cheng, Chengxun Fu: Restoration Methods Selection for Wood Components of Chinese Ancient Architectures Based on TODIM with

Single-Valued Neutrosophic Sets. Hindawi, Mathematical Problems in Engineering, Volume 2020, Article ID 5049360.

Somen Debnath: Rough Neutrosophic Soft Sets. 11 p.

Hamidreza Seiti, Ashkan Hafezalkotob, Luis Martinez: R-sets, Comprehensive Fuzzy Sets Risk Modeling for Risk-based Information Fusion and Decision-making. 15 p.

P. Arulpandy, M. Trinita Pricilla: Salt And Pepper Noise Reduction and Edge Detection Algorithm Based on Neutrosophic Logic. Computer Science, 21(2) 2020; https://doi.org/10.7494/csci.2020.21.2.3438

Jiqian Chen, Jun Ye, Shigui Du: Scale Effect and Anisotropy Analyzed for Neutrosophic Numbers of Rock Joint Roughness Coefficient Based on Neutrosophic Statistics. Symmetry 2017, 9, 208; DOI: 10.3390/sym9100208; www.mdpi.com/journal/symmetry

Diego Paul Palma Rivera, Bolivar Enrique Villalta Jadan, Edy Javier Meza Perez: Seleccion de proyectos de tecnologia de la informacion en entornos de indeterminacion. Revista Investigacion Operacional Vol. 41 , No. 5, 706-721, 2020

V.J. Sudhakar, G. Yuvaraj, V. Navaneetha Kumar: Self-Centered Interval Valued Neutrosophic Graph. International Journal of Science and Humanities, Volume 5, Number 2 (2019), pp. 86-102; Islamiah College Publications, http://www.islamiahcollege.edu.in

Subhadip Roy, Jeong-Gon Lee, Anita Pal, Syamal Kumar Samanta: Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems. Symmetry 2020, 12, 1012; DOI: 10.3390/sym12061012; www.mdpi.com/journal/symmetry

Muhammad Naveed Jafar, Asma Farooq, Komal Javed, Nazia Nawaz: Similarity Measures of Tangent, Cotangent and Cosines in Neutrosophic Environment and their Application in Selection of Academic Programs. International Journal of Computer Applications, Volume 177, No. 46, March 2020, 9 p.

Shigui Du, Jun Ye, Rui Yong, Fangwei Zhang: Simplified Neutrosophic Indeterminate Decision Making Method With Decision Makers� Indeterminate Ranges. Journal of Civil Engineering and Management 2020 Volume 26 Issue 6: 590-598; https://doi.org/10.3846/jcem.2020.12919

Guansheng Yu, Shouzhen Zeng, Chonghui Zhang: Single-Valued Neutrosophic Linguistic-Induced Aggregation Distance Measures and Their Application in Investment Multiple Attribute Group Decision Making. Symmetry 2020, 12, 207, 14 p.

Y. Srinivasa Rao, Ch. Shashi Kumar, T. Siva Nageswara Rao, V. Venkateswara Rao: Single Valued Neutrosophic Detour Distance. Journal of Critical Reviews, Vol 7, Issue 8, 2020

Giorgio Nordo, Arif Mehmood, Said Broumi: Single Valued Neutrosophic Filters. arXiv:2005.13313v1 [math.GM] 20 May 2020, 14 p.

Jiefeng Wang, Shouzhen Zeng, Chonghui Zhang: Single-Valued Neutrosophic Linguistic Logarithmic Weighted Distance Measures and Their Application to Supplier Selection

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