- Call for Papers on special issue "New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic & Plithogenic Optimizations" at the international journal Symmetry (Basel, Switzerland, in Scopus, Web of Science, IF: 2.143), deadline 31 December 2020,  https://www.mdpi.com/journal/symmetry/special_issues/Neutrosophic_Probability_Statistics_Algebraic_Structures_Plithogenic

- 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 February 2020. 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
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 is the analysis of events described by the Neutrosophic probability.

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.

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 Hegel's dialectics (the last one is 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.

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;                     introduces the Neutrosophic set/logic/probability/statistics;                     introductes the single-valued Neutrosophic set (pp. 7-8); 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); 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 NCMs.pdf 2005 - introduction of Interval Neutrosophic Set/Logic INSL.pdf 2006 - introduction of the Degree of Dependence and Degree of Independence between T, I, and F eBook-Neutrosophics6.pdf (online edition) [p. 92] 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. SVNeutrosophicOverset-JMI.pdf IV-Neutrosophic-Overset-Underset-Offset.pdf NeutrosophicOversetUndersetOffset.pdf   2007 - introduction of the Neutrosophic Tripolar Set and Neutrosophic Multipolar Set [Smarandache]             and consequently          - the Neutrosophic Tripolar Graph and Neutrosophic Multipolar Graph eBook-Neutrosophics6.pdf (online edition) [p. 93] IFS-generalized.pdf 2009 - introduction of N-norm and N-conorm 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). NeutrosophicMeasureIntegralProbability.pdf 2013 - Smarandache refined the components (T, I, F) as (T1, T2, ...; I1, I2, ...; F1, F2, ...) n-ValuedNeutrosophicLogic-PiP.pdf 2014 - introduction of the Law of Included Multiple Middle (<A>; <neutA1>, <neutA2>, ...; <antiA>) 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) NeutrosophicStatistics.pdf 2015 - introduction of Neutrosophic Precalculus and Neutrosophic Calculus 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:  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) MODNeutrosophicNumbers.pdf 2015 – Introduction of Neutrosophic Crisp Set <A, B, C> and Topology (Salama & Smarandache) NeutrosophicCrispSetTheory.pdf 2016 - Neutrosophic Multisets (as generalization of classical multisets) NeutrosophicMultisets.htm 2016 - Neutrosophic Triplet structures (F. Smarandache & M. Ali) and Neutrosophic Extended Triplet structures (Smarandache) NeutrosophicTriplets.htm 2016 - Neutrosophic Duplet structures NeutrosophicDuplets.htm 2017 - Introduction by F. Smarandache of Plithogeny (generalization of Dialectics and Neutrosophy), and Plithogenic Set/Logic/Probability/Statistics (generalization of fuzzy, intuitionistic fuzzy, neutrosophic set/logic/probability/statistics) Plithogeny.pdf NSS/PlithogenicSetAnExtensionOfCrisp.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) NeutropsychicPersonality-ed3.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] Neutrosociology.pdf 2019 & 2020 - Introduction to NeutroAlgebra [whose laws of compositions and axioms are partially true, partially indeterminate, and partially false] and AntiStructures [with laws of compositions and axioms totally false]: NeutroAlgebra.pdf 1998 - 2020: 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, 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; BibliometricNeutrosophy.pdf ].

BOOKS ON NEUTROSOPHICS

 

	Advances of Standard and Nonstandard Neutrosophic Theories new
	Optimization Theory Based on Neutrosophic and Plithogenic Sets (ELSEVIER) 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
	مقدمة الى القياس النيتروسوفيك والتكامل النيتروسوفيك والاحتمال النيتروسوفيك الجديد
	Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability new
	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
	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 new)
	Neutrosophic Triplet Groups and their Applications to Mathematical Modeling new
	Complex Valued Graphs for Soft Computing new
	Neutrosophic Triplet Structures
	Neutrosophic Graphs: A New Dimension to Graph Theory
	Strong Neutrosophic Graphs and Subgraph Topological Spaces
	Soft Neutrosophic Algebraic Structures and Their Generalization (Vol. 1, Vol. 2)
	New Research on Neutrosophic Algebraic Structures
	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
	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]
	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 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)
	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 new
	Administracion de Empresas / Elementos Basicos nuevo
	Estudio Estadistico-Neutrosofico de los Efectos Causados por Sismos nuevo
	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 nuevo
	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

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

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.

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, PhD dissertation, by Sri Pranab Biswas, Faculty of Science, Jadavpur University, Kolkata, India, 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.

	Durga Banerjee, Decision Making in an Uncertain Environment, PhD Dissertation, Jadavpur University, 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

1st International Conference on Neutrosophic Theories and Artificial Intelligence. Application in Social Sciences (ICMA 2020), organized by Asociaci�n Latinoamericana de Ciencias Neutros�ficas, Ambato, Ecuador, July 27-29, 2020, http://neutrosofia.org/index.php/neutrosophy-theories-and-artificial-intelligence-application-in-social-sciences/

Neutrosophic Soft Sets Decisions � A step towards prediction and exactness, by Prof. Sudan Jha, December 13-14, Sejong University, Seoul, South Korea, http://kasdba.org/icacci2019/index.php/keynote1/

2019 International Conference on Data Intelligence and Neutrosophic Sets with Applications (DI-NSA 2019), Organizer Prof. Dr. Xiaohong Zhang, Shaanxi University of Science and Technology, https://en.sust.edu.cn/info/1093/1671.htm, Xi'an, P. R. China, 20 - 22 December 2019;  F. Smarandache, On Overview of Neutrosophic Theories and Applications (plenary lecture), http://fs.unm.edu/OverviewOfNeutrosophics2.htm

On Overview of Neutrosophic Theories and Applications, Xi'an Polytechnic University, P. R. China, 19 December 2019.

Historia de las Teor�as Neutros�ficas y sus Aplicaciones, Universidad de Los Andes, Bogota, Colombia, August 1st 2019; http://fs.unm.edu/neutrosofia.htm.

Historia de las Teor�as Neutros�ficas y sus Aplicaciones, Universidad Nacional de Colombia, Bogota, Colombia, August 5th 2019.

Historia de las Teor�as Neutros�ficas y sus Aplicaciones, Universidad Industral de Santander, Bucaramanga, Colombia, August 8st 2019.

History of Neutrosophic Set and Logic and their Applications, by F. Smarandache, King Abdulaziz University, Jeddah, Saudi Arabia, 19 December 2018.

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:

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

Xindong Peng, Jingguo Dai. (2018). A bibliometric analysis of neutrosophic set: two decades review from 1998 to 2017. Artificial Intelligence Review 2018, https://doi.org/10.1007/s10462-018-9652-0, http://doi.org/10.5281/zenodo.3045155

F. Smarandache, NeutroAlgebra is a Generalization of Partial Algebra, International Journal of Neutrosophic Science (IJNS),

United States, Vol. 2, No. 1, pp. 08-17, 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: 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; doi:10.3390/math8020223

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, DOI:10.3233/JIFS-169165

Dragisa Stanujkic, Darjan Karabasevic, Edmundas Kazimieras Zavadskas, Florentin Smarandache, Willem K.M. Brauers: A Bipolar Fuzzy Extension of the MULTIMOORA Method. Informatica, 2019, Vol. 30, No. 1, 135�152, DOI :10.15388/Informatica.2019.201

Somen Debnath: About Rough Neutrosophic Soft Sets Theory and Study Their Properties. Science Journal of Applied Mathematics and Statistics 2019; 7(6): 95-102, DOI: 10.11648/j.sjams.20190706.11

H.P. Ren, S.X. Xiao, H. Zhou: A Chi-square Distance-based Similarity Measure of Single-valued Neutrosophic Set and Applications. International Journal of Computers Communications & Control, 14(1), 78-89, February 2019.

Ying Huang, Hong-Yu Zhang, Jian-Qiang Wang: A comprehensive mechanism for hotel recommendation to achieve personalized search engine. Journal of Intelligent & Fuzzy Systems 35 (2018) 3733�3745, DOI: 10.3233/JIFS-18547

Elyas Rashno, Ahmad Akbari, Babak Nasersharif: A Convoloutional Neural Network model based on Neutrosophy for Noisy Speech Recognition, 6 p.

G. Kalpana, Z. Sumaiya Tasneem: A fixed point approach on bipolar neutrosophic soft metric space. AIP Conference Proceedings 2095, 030013 (2019); DOI: 10.1063/1.5097524

Hongjun Guan, Zongli Dai, Shuang Guan, Aiwu Zhao: A Forecasting Model Based on High-Order Fluctuation Trends and Information Entropy. Entropy 2018, 20, 669; DOI: 10.3390/e20090669

Mohamed Abdel-Basset, M. Gunasekaran, Mai Mohamed, Naveen Chilamkurti: A framework for risk assessment, management and evaluation: Economic tool for quantifying risks in supply chain. Future Generation Computer Systems 90 (2019) 489�502, DOI: 10.1016/j.future.2018.08.035

Muhammad Gulistan, Nasruddin Hassan: A Generalized Approach towards Soft Expert Sets via Neutrosophic Cubic Sets with Applications in Games. Symmetry 2019, 11, 289; DOI: 10.3390/sym11020289

Le Sun, Hai Dong, Alex X. Liu: Aggregation Functions Considering Criteria Interrelationships in Fuzzy Multi-Criteria Decision Making: State-of-the-Art. Volume 6, 2018, 68104-68136

Amira S. Ashoura, Yanhui Guob, Enver Kucukkulahlic, Pakize Erdogmusd, Kemal Polate: A hybrid dermoscopy images segmentation approach based on neutrosophic clustering and histogram estimation. Applied Soft Computing 69 (2018) 426-434, DOI: 10.1016/j.asoc.2018.05.003

Mutasem K. Alsmadi: A hybrid Fuzzy C-Means and Neutrosophic for jaw lesions segmentation. Ain Shams Engineering Journal (2018) 9, 697-706, DOI: 10.1016/j.asej.2016.03.016

Mei-Yun Quan, Ze-Ling Wang, Hu-Chen Liu, Hua Shi: A Hybrid MCDM Approach for Large Group Green Supplier Selection with Uncertain Linguistic Information. DOI: 10.1109/ACCESS.2018.2868374, IEEE Access

Hee Sik Kim, J. Neggers, Sun Shin Ahn: Algebras and Smarandache Types. Preprints, 5 November 2018, DOI: 10.20944/preprints201811.0117.v1

Yuanxiang Dong, Chenjing Hou,Yuchen Pan, Ke Gong: Algorithm for Neutrosophic Soft Sets in Stochastic Multi-Criteria Group Decision Making Based on Prospect Theory. Symmetry 2019, 11, 1085; DOI: 10.3390/sym11091085

Harish Garg, Nancy: Algorithms for possibility linguistic single-valued neutrosophic decision-making based on COPRAS and aggregation operators with new information measures. Measurement 138 (2019) 278-290, DOI: 10.1016/j.measurement.2019.02.031

Ru-xia Liang, Zi-bin Jiang, Jian-qiang Wang: A Linguistic Neutrosophic Multi-Criteria Group Decision-Making Method to University Human Resource Management. Symmetry 2018, 10, 364; DOI: 10.3390/sym10090364

D. Jayanthi: Alfa Generalized Closed Sets in Neutrosophic Topological Spaces. International Journal of Mathematics Trends and Technology (IJMTT) - Special Issue ICRMIT March 2018, pp. 88-91

Dongsheng Xu, Yanran Hong, Kaili Xiang: A Method of Determining Multi-AttributeWeights Based on Single-Valued Neutrosophic Numbers and Its Application in TODIM. Symmetry 2019, 11, 506; DOI: 10.3390/sym11040506

D. Leonita, R. Irene Hepzibah, A. Nagoorgani: A Methodology to Combine Interval Neutrosophic Focal Elements and Their Basic Probability Assignment in Evidence Theory. Journal of Physical Sciences, Vol. 24, 2019, 1-8

Xiaohui Wu, Jie Qian, Juanjuan Peng, Changchun Xue: A Multi-Criteria Group Decision-Making Method with Possibility Degree and Power Aggregation Operators of Single Trapezoidal Neutrosophic Numbers. Symmetry 2018, 10, 590; DOI: 10.3390/sym10110590

Rizk M. Rizk-Allah, Aboul Ella Hassanien, Mohamed Elhoseny: A multi-objective transportation model under neutrosophic environment. Computers and Electrical Engineering 69 (2018) 705-719, DOI: 10.1016/j.compeleceng.2018.02.024

Majdoleen Abu Qamar, Abd Ghafur Ahmad, Nasruddin Hassan: An approach to Q-neutrosophic soft rings. AIMS Mathematics, 4(4): 1291�1306, DOI: 10.3934/math.2019.4.1291

Xue Jiang, Yanhui Guo, Haibin Chen, Yaqin Zhang, Yao Lu: An Adaptive Region Growing based on Neutrosophic Set in Ultrasound Domain for Image Segmentation. DOI: 10.1109/ACCESS.2019.2911560, IEEE Access, 11 p.

Mariya A. Sodenkamp, Madjid Tavana, Debora Di Caprio: An aggregation method for solving group multi-criteriadecision-making problems with single-valued neutrosophic sets. Applied Soft Computing 71 (2018) 715�727

Ramona Parraga Alava, Jose Munoz Murillo, Roy Barre Zambrano, Maria Isabel Zambrano Velez, Maikel Leyva Vazquez: PEST Analysis Based on Neutrosophic Cognitive Maps: A Case Study for Food Industry. Neutrosophic Sets and Systems, Vol. 21, 2018, 84-92

Yildiray Celik, Guven Kara: An application of interval-valued neutrosophic soft graphs in a decision making problem. New Trends in Mathematical Sciences (NTMSCI) 6, No. 4, 67-76 (2018), DOI: 10.20852/ntmsci.2018.317

Princy R, Mohana K: An Application of Neutrosophic Bipolar Vague On Multi-Criteria Decision Making Problems. International Journal of Research in Advent Technology, Vol. 7, No. 1, January 2019, 265-272

Vildan Cetkin, Halis Aygun: An approach to neutrosophic subgroup and its fundamental properties. Journal of Intelligent & Fuzzy Systems 29 (2015) 1941-1947, DOI: 10.3233/IFS-151672

Vildan Cetkin, Halis Aygun: An Approach to Neutrosophic Subrings. Sakarya University Journal of Science, 23(3), 472-477, (2019), DOI: 10.16984/saufenbilder.451979

Majdoleen Abu Qamar, Nasruddin Hassan: An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making. Symmetry 2019, 11, 139; DOI: 10.3390/sym11020139

Elyas Rashno, Behrouz Minaei-Bidgoli, Yanhui Guo: An effective clustering method based on data indeterminacy in neutrosophic set domain. arXiv:1812.11034v1 [eess.IV] 17 Dec 2018, 40 p.

Yanhui Guo, Abdulkadir Şeng�r, Yaman Akbulut, Abriel Shipley: An effective color image segmentation approach using neutrosophic adaptive mean shift clustering. Measurement 119 (2018) 28-40, DOI: 10.1016/j.measurement.2018.01.025

Hongjun Guan, Zongli Dai, Shuang Guan, Aiwu Zhao: A Neutrosophic Forecasting Model for Time Series Based on First-Order State and Information Entropy of High-Order Fluctuation. Entropy 2019, 21, 455; DOI: 10.3390/e21050455

A. A. Salama, Mohamed Eisa, A. E. Fawzy: A Neutrosophic Image Retrieval Classifier. International Journal of Computer Applications (0975 � 8887), Volume 170, No. 9, July 2017, 7 p.

Wen Jiang, Yu Zhong, Xinyang Deng: A Neutrosophic Set Based Fault Diagnosis Method Based on Multi-Stage Fault Template Data. Symmetry 2018, 10, 346; DOI: 10.3390/sym10080346

Andy St. Fort, Edwin K. P. Chong: A neutrosophic set-based computational model for a time-dependent decision-support system with multi-attribute criteria. Preprint submitted to Elsevier EJOR: Neutrosophic Operational Research � Challenges and Future Trends, September 8, 2019, 19 p.

Wen Jiang, Yu Zhong, Xinyang Deng: A Neutrosophic Set Based Fault Diagnosis Method Based on Multi-Stage Fault Template Data. Symmetry 2018, 10, 346; DOI: 10.3390/sym10080346

Mohamed Abdel-Basset, Gunasekaran Manogaran, Mai Mohamed: A neutrosophic theory based security approach for fog and mobile-edge computing. Computer Networks 157 (2019) 122-132. DOI: 10.1016/j.comnet.2019.04.018

Keli Hu, En Fan: A New Algorithm for Improving Basic Model Based Foreground Detection Using Neutrosophic Similarity Score. International Journal of Signal Processing, Image Processing and Pattern Recognition, Vol. 10, No. 9 (2017), pp. 69-78, DOI: 10.14257/ijsip.2017.10.9.07

A. H. Nafei, S. H. Nasseri: A new approach for solving neutrosophic integer programming problems. International Journal of Applied Operational Research, Vol. 9, No. 1, pp. 1-9, Winter 2019

A. A. Salama, Mohamed Eisa, Hewayda ElGhawalby, A. E. Fawzy: A New Approach in Content-Based Image Retrieval Neutrosophic Domain. Springer Nature Switzerland AG 2019, C. Kahraman and I. Otay (eds.), Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets, Studies in Fuzziness and Soft Computing 369, DOI: 10.1007/978-3-030-00045-5_14

Taha Yasin Ozturk, Cigdem Gunduz Aras, Sadi Bayramov: A New Approach to Operations on Neutrosophic Soft Sets and to Neutrosophic Soft Topological Spaces. Communications in Mathematics and Applications, Vol. 10, No. 3, pp. 481-493, 2019, DOI: 10.26713/cma.v10i3.1068

Muhammad Aslam: A new attribute sampling plan using neutrosophic statistical interval method. Complex & Intelligent Systems, 6 p. DOI: 10.1007/s40747-018-0088-6

Eser Sert, Derya Avci: A new edge detection approach via neutrosophy based on maximum norm entropy. Expert Systems With Applications 115 (2019) 499-511, DOI: 10.1016/j.eswa.2018.08.019

Linfeng Gou, Yu Zhong: A New Fault Diagnosis Method Based on Attributes Weighted Neutrosophic Set. IEEE Acces, Volume 7, 2019, 117740-117748, DOI: 10.1109/ACCESS.2019.2936494

Selcuk Topal, Ahmet Cevik: A New Group Decision Making Method with Distributed Indeterminacy Form under Neutrosophic Environment: Neutrosophic Social Choice Theory. arXiv:submit/2667677 [cs.AI] 26 Apr 2019, 22 p.

Vakkas Ulucay, Adil Kilic, Memet Sahin, Harun Deniz: A New Hybrid Distance-Based Similarity Measure for Refined Neutrosophic Sets and its Application in Medical Diagnosis. Matematika, 2019, Volume 35, Number 1, 83-96

Pritpal Singh, Yo-Ping Huang: A new hybrid time series forecasting model based on the neutrosophic set and quantum optimization algorithm. Computers in Industry 111 (2019) 121-139, DOI: 10.1016/j.compind.2019.06.004

Eser Sert: A new modified neutrosophic set segmentation approach. Computers and Electrical Engineering 65 (2018) 576-592. DOI: 10.1016/j.compeleceng.2017.01.017

I.R. Sumathi, V. Mohana Priya: A New Perspective on Neutrosophic Differential Equation. International Journal of Engineering & Technology, 7 (4.10) (2018) 422-425

D. Nagarajan, M. Lathamaheswari, Said Broumi, J. Kavikumar: A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets. Operations Research Perspectives, DOI: 10.1016/j.orp.2019.100099

Muhammad Aslam: A New Sampling Plan Using Neutrosophic Process Loss Consideration. Symmetry 2018, 10, 132, DOI: 10.3390/sym10050132

Jingqian Wang, Xiaohong Zhang: A New Type of Single Valued Neutrosophic Covering Rough Set Model. Symmetry 2019, 11, 1074, DOI: 10.3390/sym11091074

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

Muhammad Aslam, Ali Hussein AL-Marshadi, Nasrullah Khan: A New X-Bar Control Chart for Using Neutrosophic ExponentiallyWeighted Moving Average. Mathematics 2019, 7, 957, DOI: 10.3390/math7100957

Chao Tian, Wen Yu Zhang, Shuai Zhang, Juan Juan Peng: An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method. Mathematics 2019, 7, 39, DOI: 10.3390/math7010039

Jie Wang, Guiwu Wei, Mao Lu: An Extended VIKOR Method for Multiple Criteria Group Decision Making with Triangular Fuzzy Neutrosophic Numbers. Symmetry 2018, 10, 497, DOI: 10.3390/sym10100497

Yanzhu Hu, JiaoWang, Xinbo Ai, Xu Zhuang: An Improved Multithreshold Segmentation Algorithm Based on Graph Cuts Applicable for Irregular Image. Hindawi, Mathematical Problems in Engineering, Volume 2019, Article ID 3514258, 25 pages, DOI: 10.1155/2019/3514258

Nancy, Harish Garg: An Improved Score Function For Ranking Neutrosophic Sets and Its Application To Decision-Making Process. International Journal for Uncertainty Quantification, 6 (5): 377�385 (2016)

Azzah Awang, Nur Aidya Hanum Aizam, Lazim Abdullah: An Integrated Decision-Making Method Based on Neutrosophic Numbers for Investigating Factors of Coastal Erosion. Symmetry 2019, 11, 328, DOI: 10.3390/sym11030328

Ahmet Selcuk Yalcin, Huseyin Selcuk Kilic, Nadide Caglayan: An Integrated Model with Interval Valued Neutrosophic Sets for the Selection of Lean and Sustainable Suppliers. Springer Nature Switzerland AG 2020, C. Kahraman et al. (Eds.): INFUS 2019, AISC 1029, pp. 693-701, 2020, DOI: 10.1007/978-3-030-23756-1_83

Y. Veereswari: An Introduction To Fuzzy Neutrosophic Topological Spaces. International Journal of Mathematical Archive, 8(3), 2017, 144-149

Mohamed Abdel-Basset, Mai Mohamed: A novel and powerful framework based on neutrosophic sets to aid patients with cancer. Future Generation Computer Systems 98 (2019) 144-153, DOI: 10.1016/j.future.2018.12.019

Haitham Elwahsh, Mona Gamal, A. A. Salama, I.M. El-Henawy: A Novel approach for classify MANETs attacks with a neutrosophic intelligent system based on genetic algorithm. Hindawi Security and Communication Networks, 16 p.

Hoang Viet Long, Mumtaz Ali, Le Hoang Son, Mohsin Khan, Doan Ngoc Tu: A novel approach for fuzzy clustering based on neutrosophic association matrix. Computers & Industrial Engineering 127 (2019) 687-697. DOI: /10.1016/j.cie.2018.11.007

Dragan Pamucar, Ibrahim Badi, Korica Sanja, Radojko Obradovic: A Novel Approach for the Selection of Power-Generation Technology Using a Linguistic Neutrosophic CODAS Method: A Case Study in Libya. Energies 2018, 11, 2489; doi:10.3390/en11092489

Ashraf Al-Quran, Nasruddin Hassan, Emad Marei: A Novel Approach to Neutrosophic Soft Rough Set under Uncertainty. Symmetry 2019, 11, 384, DOI: 10.3390/sym11030384

Ranjan Kumar, S A Edalatpanah, Sripati Jha, Ramayan Singh: A Novel Approach to Solve Gaussian Valued Neutrosophic Shortest Path Problems. International Journal of Engineering and Advanced Technology (IJEAT), Volume 8, Issue 3, February 2019, 347-353

Gittaly Dhingra, Vinay Kumar, Hem Dutt Joshi: A novel computer vision based neutrosophic approach for leaf disease identification and classification. Measurement 135 (2019) 782�794

Nancy, Harish Garg: A novel divergence measure and its based TOPSIS method for multi criteria decision-making under single-valued neutrosophic environment. Journal of Intelligent & Fuzzy Systems 36 (2019) 101-115, DOI: 10.3233/JIFS-18040

A.I. Shahin, K.M. Amin, Amr A. Sharawi, Yanhui Guo: A novel enhancement technique for pathological microscopic image using neutrosophic similarity score scaling. Optik 161 (2018) 84-97, DOI: 10.1016/j.ijleo.2018.02.026

Dan-Ping Li, Si-Jie Cheng, Peng-Fei Cheng, Jian-Qiang Wang, Hong-Yu Zhang: A novel financial risk assessment model for companies based on heterogeneous information and aggregated historical data. PLoS ONE 13(12): e0208166, DOI: 10.1371/journal.pone.0208166

Mohamed Abdel-Basset, Abduallah Gamal, Gunasekaran Manogaran, Le Hoang Son, Hoang Viet Long: A novel group decision making model based on neutrosophic sets for heart disease diagnosis. Multimedia Tools and Applications, 27 p., DOI: 10.1007/s11042-019-07742-7

J.A. Morente-Molinera, X. Wu, A. Morfeq, R. Al-Hmouz, E. Herrera-Viedma: A novel multi-criteria group decision-making method for heterogeneous and dynamic contexts using multi-granular fuzzy linguistic modelling and consensus measures. Information Fusion 53 (2020) 240-250, DOI: 10.1016/j.inffus.2019.06.028

Yanhui Guo, Guo-Qing Du, Jing-Yi Xue, Rong Xia, Yu-hang Wang: A novel myocardium segmentation approach based on neutrosophic active contour model. Computer Methods and Programs in Biomedicine 142 (2017) 109-116, DOI: 10.1016/j.cmpb.2017.02.020

S. O. Haji, R. Z. Yousif: A Novel Neutrosophic Method for Automatic Seed Point Selection in Thyroid Nodule Images. Hindawi, BioMed Research International, Volume 2019, Article ID 7632308, 14 pages, DOI: 10.1155/2019/7632308

Amira S. Ashour, Ahmed Refaat Hawas, Yanhui Guo, Maram A. Wahba: A novel optimized neutrosophic k-means using genetic algorithm for skin lesion detection in dermoscopy images. Signal, Image and Video Processing, 9 p., DOI: 10.1007/s11760-018-1284-y

Minxia Luo, Jingjing Liang: A Novel Similarity Measure for Interval-Valued Intuitionistic Fuzzy Sets and Its Applications. Symmetry 2018, 10, 441, DOI: 10.3390/sym10100441

Xiangxiang Cui, Dongsheng Xu: A Novel TOPSIS-MABAC Method for Multi-attribute Decision Making with Interval Neutrosophic Set. 2019 International Conference on Computation and Information Sciences (ICCIS 2019), 672-680

Arian Hafezalkotob, Ashkan Hafezalkotob, Huchang Liao, Francisco Herrera: An overview of MULTIMOORA for multi-criteria decision-making: Theory, developments, applications, and challenges. Information Fusion 51 (2019) 145-177, DOI: 10.1016/j.inffus.2018.12.002

Bo Li, Kaifeng Zhou, Jun Ye, Peng Sha: Application of a Probabilistic Method Based on Neutrosophic Number in Rock Slope Stability Assessment. Appl. Sci. 2019, 9, 2309, DOI: 10.3390/app9112309

Muhammad Saeed, Muhammad Saqlain, Muhammad Raiz: Application of Generalized Fuzzy TOPSIS in Decision Making for Neutrosophic Soft set to Predict the Champion of FIFA 2018: A Mathematical Analysis. 17 p.

M. Suganya: Application of Inclusion Measures in the Field of Cultivation of Crops. 2018 IJSRSET, Volume 4, Issue 10, 335-349

Muhammad Aslam, Mohammed Albassam: Application of Neutrosophic Logic to Evaluate Correlation between Prostate Cancer Mortality and Dietary Fat Assumption. Symmetry 2019, 11, 330, DOI: 10.3390/sym11030330

Romualdas Bausys, Edmundas Kazimieras Zavadskas, Arturas Kaklauskas: Application of Neutrosophic Set To Multicriteria Decision Making by COPRAS. 15 p.

Romualdas Bausys, Fausto Cavallaro, Rokas Semenas: Application of Sustainability Principles for Harsh Environment Exploration by Autonomous Robot. Sustainability 2019, 11, 2518, DOI: 10.3390/su11092518

Ye Yuan, Yan Ren, Xiaodong Liu, Jing Wang: Approach to Image Segmentation Based on Interval Neutrosophic Set. Control and Optimization, DOI: 10.3934/naco.2019028

Ignacio J. Navarro, Victor Yepes, Jose V. Marti: A Review of Multicriteria Assessment Techniques Applied to Sustainable Infrastructure Design. Hindawi, Advances in Civil Engineering, Volume 2019, Article ID 6134803, 16 pages, DOI: 10.1155/2019/6134803

Chiranjibe Jana, Madhumangal Pal: A Robust Single-Valued Neutrosophic Soft Aggregation Operators in Multi-Criteria Decision Making. Symmetry 2019, 11, 110, DOI: 10.3390/sym11010110

R. Sivagami, K. S. Ravichandran, R. Krishankumar, V. Sangeetha, Samarjit Kar, Xiao-Zhi Gao, Dragan Pamucar: A Scientific Decision Framework for Cloud Vendor Prioritization under Probabilistic Linguistic Term Set Context with Unknown/Partial Weight Information. Mathematics 2019, 11, 682, DOI: 10.3390/sym11050682

Chengdong Cao, Shouzhen Zeng, Dandan Luo: A Single-Valued Neutrosophic Linguistic Combined Weighted Distance Measure and Its Application in Multiple-Attribute Group Decision-Making. Symmetry 2019, 11, 275, DOI: 10.3390/sym11020275

Amin Vafadarnikjoo, Nishikant Mishra, Kannan Govindan, Konstantinos Chalvatzis: Assessment of consumers' motivations to purchase a remanufactured product by applying Fuzzy Delphi method and single valued neutrosophic sets. Journal of Cleaner Production 196 (2018) 230-244, DOI: 10.1016/j.jclepro.2018.06.037

Liangsong Huang, Yu Hu, Yuxia Li, P. K. Kishore Kumar, Dipak Koley, Arindam Dey: A Study of Regular and Irregular Neutrosophic Graphs with Real Life Applications. Mathematics 2019, 7, 551; DOI: 10.3390/math7060551

R. Sophia Porchelvi, M. Umamaheswari: A Study on Intuitionistic Fuzzy Multi Objective LPP into LCP with Neutrosophic Triangular Numbers Approach. JASC: Journal of Applied Science and Computations, Volume 5, Issue 9, September 2018, 570-576

Yanase J, Triantaphyllou E: A Systematic Survey of Computer-Aided Diagnosis in Medicine: Past and Present Developments. Expert Systems with Applications, Vol. 138, in press. DOI: 10.1016/j.eswa.2019.112821

Muhammad Aslam: Attribute Control Chart Using the Repetitive Sampling under Neutrosophic System. DOI: 10.1109/ACCESS.2019.2895162, IEEE Access

Zailiang Chen, Dabao Li, Hailan Shen, Hailan Mo, Ziyang Zeng, Hao Wei: Automated segmentation of fluid regions in optical coherence tomography B-scan images of age-related macular degeneration. Optics and Laser Technology 122 (2020) 105830, DOI: 10.1016/j.optlastec.2019.105830

Muhammad Aslam: A Variable Acceptance Sampling Plan under Neutrosophic Statistical Interval Method. Symmetry 2019, 11, 114, DOI: 10.3390/sym11010114

Ahmet Cevik: Axiom of Neutrosophic Choice. arXiv:1910.09316v1 [math.GM] 13 Oct 2019, 10 p.

Tuhin Bera, Said Broumi, Nirmal Kumar Mahapatra: Behaviour of ring ideal in neutrosophic and soft sense. Neutrosophic Sets and Systems,Vol. 25, 2019, 24 p.

Peide Liu, Xinli You: Bidirectional projection measure of linguistic neutrosophic numbers and their application to multi-criteria group decision making. Computers & Industrial Engineering 128 (2019) 447-457, DOI: 10.1016/j.cie.2018.12.052

M. Mohseni Takallo, Hashem Bordbar, R.A. Borzooei, Young Bae Jun: BMBJ-neutrosophic ideals in BCK/BCI-algebras. Neutrosophic Sets and Systems, Vol. 27 / 2019, 16 p.

Eser Sert, Derya Avci: Brain tumor segmentation using neutrosophic expert maximum fuzzy-sure entropy and other approaches. Biomedical Signal Processing and Control 47 (2019) 276-287. DOI: 10.1016/j.bspc.2018.08.025

Hagar G. Abu-Faty, Nancy A. El-Hefnawy, Ahmed Kafafy: Calculation of the Unknown Criteria Weights Under the Neutrosophic TOPSIS and the Neutrosophic VIKOR MCGDM Problems. International Journal of Scientific & Engineering Research Volume 10, Issue 4, April 2019, 1125- 1132

Muhammad Akram, Hina Gulzar, K. P. Shum: Certain Notions of Single-Valued Neutrosophic K-Algebras.15 p.

Elyas Rashno, Sanaz Saki Norouzi, Behrouz Minaei-bidgoli, Yanhui Guo: Certainty of outlier and boundary points processing in data mining. 6 p.

R. Narmada Devi, N. Kalaivani, S. Broumi, K.A. Venkatesan: Characterizations of Strong and Balanced Neutrosophic Complex Graphs. International Journal of Engineering & Technology, 7 (4.10) (2018) 593-597

Muhammad Aslam, Osama Hasan Arif: Classification of the State of Manufacturing Process under Indeterminacy. Mathematics 2019, 7, 870, DOI: 10.3390/math7090870

Tuhin Bera, Nirmal Kumar Mahapatra: Compactness and Continuity On Neutrosophic Soft Metric Space. International Journal of Advances in Mathematics, Volume 2018, Number 4, Pages 1-24, 2018

Prem Kumar Singh: Complex neutrosophic concept lattice and its applications to air quality analysis. Chaos, Solitons and Fractals 109 (2018) 206-213, DOI: 10.1016/j.chaos.2018.02.034

Ahmed M. Antera, Aboul Ella Hassenian: Computational intelligence optimization approach based on particleswarm optimizer and neutrosophic set for abdominal CT liver tumor segmentation. Journal of Computational Science 25 (2018) 376-387

Deepika Koundala, Savita Gupta, Sukhwinder Singh: Computer aided thyroid nodule detection system using medical ultrasound images. Biomedical Signal Processing and Control 40 (2018) 117-130, DOI: 10.1016/j.bspc.2017.08.025

R. S. Alghamdi, Noura Omair Alshehri: Contemporary Concepts of Neutrosophic Fuzzy Soft BCK-submodules. J. Computational Analysis and Applications, vol. 28, no. 4, 2020, 745-762

Muhammad Aslam, Nasrullah Khan, Mohammed Albassam: Control Chart for Failure-Censored Reliability Tests under Uncertainty Environment. Symmetry 2018, 10, 690, DOI: 10.3390/sym10120690

Changxing Fan: Correlation Coefficients of Refined-Single Valued Neutrosophic Sets and Their Applications in Multiple Attribute Decision-Making. Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol. 23 No. 3, 2019,  421-426

Mohamed Abdel-Basset: Corrigendum to ��A framework for risk assessment, management and evaluation: Economic tool for quantifying risks in supply chain�� [Future Gener. Comput. Syst. 90 (2019) 489�502]. Future Generation Computer Systems 93 (2019) 1076-1077, DOI: 10.1016/j.future.2018.12.056

Donghai Liu, Xiaohong Chen, Dan Peng: Cosine Distance Measure between Neutrosophic Hesitant Fuzzy Linguistic Sets and Its Application in Multiple Criteria Decision Making. Symmetry 2018, 10, 602; doi:10.3390/sym10110602

Ahmed M. Anter, Aboul Ella Hassenian: CT liver tumor segmentation hybrid approach using neutrosophic sets, fast fuzzy c-means and adaptive watershed algorithm. Artificial Intelligence In Medicine, 13 p. DOI: 10.1016/j.artmed.2018.11.007

P Jayaraman: Cyclic normal fuzzy neutrosopic soft G-modular structures acting on a group. 3rd International Conference on Mathematical Sciences and Statistics, IOP Conf. Series: Journal of Physics: Conf. Series 1132 (2018) 012005, IOP Publishing, DOI: 10.1088/1742-6596/1132/1/012005

Muhammad Aslam, Ali Hussein Al-Marshadi: Design of a Control Chart Based on COM-Poisson Distribution for the Uncertainty Environment. Hindawi, Complexity, Volume 2019, Article ID 8178067, 9 pages, DOI: 10.1155/2019/8178067

Sergey Gorbachev, Tatyana Abramova: Design of Fuzzy Cognitive Model of Mutual Influence and Connectivity of Innovative Technologies. Journal of Modeling and Optimization 10:1 (2018), 7 p.

Muhammad Aslam, Ali Hussein AL-Marshadi: Design of Sampling Plan Using Regression Estimator under Indeterminacy. Symmetry 2018, 10, 754, DOI: 10.3390/sym10120754

Muhammad Aslam: Design of Sampling Plan for Exponential Distribution under Neutrosophic Statistical Interval Method. DOI: 10.1109/ACCESS.2018.2877923, IEEE Access

Muhammad Aslam, Rashad A. R. Bantan, Nasrullah Khan: Design of SN2-NEWMA Control Chart for Monitoring Process having Indeterminate Production Data. Processes 2019, 7, 742, DOI: 10.3390/pr7100742

Muhammad Aslam, Nasrullah Khan, Ali Hussein AL-Marshadi: Design of Variable Sampling Plan for Pareto Distribution Using Neutrosophic Statistical Interval Method. Symmetry 2019, 11, 80, DOI: 10.3390/sym11010080

Muhammad Aslam: Design of X-Bar Control Chart for Resampling Under Uncertainty Environment. DOI: 10.1109/ACCESS.2019.2915007, IEEE ACCESS

Avishek Chakraborty, Sankar Prasad Mondal, Ali Ahmadian, Norazak Senu, Shariful Alam, Soheil Salahshour: Different Forms of Triangular Neutrosophic Numbers, De-Neutrosophication Techniques, and their Applications. Symmetry 2018, 10, 327; doi:10.3390/sym10080327

Areeg Abdalla: Different Methodologies in Treating Uncertainty. Systemics, Cybernetics and Informatics, vol. 16, no. 5, 2018, 14-19

Avishek Chakraborty, Sankar Prasad Mondal, Shariful Alam, Ali Ahmadian, Norazak Senu, Debashis De, Soheil Salahshour: Disjunctive Representation of Triangular Bipolar Neutrosophic Numbers, De-Bipolarization Technique and Application in Multi-Criteria Decision-Making Problems. Symmetry 2019, 11, 932, DOI: 10.3390/sym11070932

Songsong Dai, Lvqing Bi, Bo Hu: Distance Measures between the Interval-Valued Complex Fuzzy Sets. Mathematics 2019, 7, 549, DOI: 10.3390/math7060549

Lilian Shi, Jun Ye: Dombi Aggregation Operators of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making. Algorithms 2018, 11, 29, DOI: 10.3390/a11030029

Jiongmei Mo, Han-Liang Huang: Dual Generalized Nonnegative Normal Neutrosophic Bonferroni Mean Operators and Their Application in Multiple Attribute Decision Making. Information 2018, 9, 201, DOI: 10.3390/info9080201

Soumen Kumar Das, Sankar Kumar Roy: Effect of variable carbon emission in a multi-objective transportation-p-facility location problem under neutrosophic environment. Computers & Industrial Engineering 132 (2019) 311-324, DOI: 10.1016/j.cie.2019.04.037

Majdoleen Abu Qamar, Nasruddin Hassan: Entropy, Measures of Distance and Similarity of Q-Neutrosophic Soft Sets and Some Applications. Entropy 2018, 20, 672, DOI: 10.3390/e20090672

I. Arockiarani: Entropy Measures on Neutrosophic Soft Sets and Its Application in Multi Attribute Decision Making. World Academy of Science, Engineering and Technology, International Journal of Mathematical and Computational Sciences, Vol. 11, No. 4, 2017

Dailin Pena Suarez, Daniela Alejandra Nunez Chariguaman, Renato Navas Espin, Alejandra Margarita Chavez Silva: Estudio de factibilidad econ�mica como herramienta en la determinaci�n de la rentabilidad para la implementaci�n de la producci�n y comercializaci�n de frutas oriundas de la Amazon�a en Alm�bar en la Ciudad del Puyo. Revista Investigacion Operacional, vol. 40 , no. 2, 219-229, 2019

M. Abdel-Baset, Victor Chang, Abduallah Gamal: Evaluation of the green supply chain management practices: A novel neutrosophic approach. Computers in Industry 108 (2019) 210-220, DOI: 10.1016/j.compind.2019.02.013

J. Loveline Zeema, D. Francis Xavier Christopher: Evolving Optimized Neutrosophic C means clustering using Behavioral Inspiration of Artificial Bacterial Foraging (ONCMC-ABF) in the Prediction of Dyslexia. Journal of King Saud University � Computer and Information Sciences, DOI: 10.1016/j.jksuci.2019.09.008

Jiqian Chen, Jun Ye, Shigui Du, Rui Yong: Expressions of Rock Joint Roughness Coefficient Using Neutrosophic Interval Statistical Numbers. Symmetry 2017, 9, 123, DOI: 10.3390/sym9070123

Muhammad Gulistan, Salma Khan: Extentions of neutrosophic cubic sets via complex fuzzy sets with application. Complex & Intelligent Systems, DOI: 10.1007/s40747-019-00120-8

Melih Yucesan, Muhammet Gul: Failure prioritization and control using the neutrosophic best and worst method. Granular Computing,  15 p., DOI: 10.1007/s41066-019-00206-1

Muhammad Riaz, Masooma Raza Hashmi: Fixed points of fuzzy neutrosophic soft mapping with decision-making. 10 p., DOI: 10.1186/s13663-018-0632-5

Memet Sahin, Abdullah Kargin, Mehmet Ali Coban: Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space. Symmetry 2018, 10, 240, DOI: 10.3390/sym10070240

S. Santhi, K. Selvakumari: Flow Shop Scheduling Problem in Neutrosophic Environment Using Trapezoidal Fuzzy Numbers. Eurasian Journal of Analytical Chemistry, OPEN ACCESS 2019 14 (1): 111-115

Hongjun Guan, Shuang Guan, Aiwu Zhao: Forecasting Model Based on Neutrosophic Logical Relationship and Jaccard Similarity. Symmetry 2017, 9, 191, DOI: 10.3390/sym9090191

Mehmet Celik, Moges Mekonnen Shalla, Necati Olgun: Fundamental Homomorphism Theorems for Neutrosophic Extended Triplet Groups. Symmetry 2018, 10, 321, DOI: 10.3390/sym10080321

Mohammed J. Al-Mesafer, Faleh Abdul Mahdi Jaber: Fuzzy Neutrosophic Soft HX Subring. University of Thi-Qar Journal, Vol. 14, No. 3, 2019, 24 p.

Ather Farhan Lafta, Mohammed J. Al-Mesafer, Ayed E. Hashoosh: Fuzzy neutrosophic Soft Ideal Theory Fuzzy neutrosophic Soft Local Function and Generated Fuzzy neutrosophic Soft Topological Spaces. University of Thi-Qar Journal, Vol. 14, No. 3, 2019, 22 p.

Fatimah M. Mohammed, Anas A. Hijab, Shaymaa F. Matar: Fuzzy Neutrosophic Weakly-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces. J. University of Anbar for Pure Science, Vol. 12, No. 2, 2018, 63-73

Ashraf Al-Quran, Nasruddin Hassan, Shawkat Alkhazaleh: Fuzzy Parameterized Complex Neutrosophic Soft Expert Set for Decision under Uncertainty. Symmetry 2019, 11, 382, DOI: 10.3390/sym11030382

Galina Ilieva: Fuzzy Supervised Multi-Period Time Series Forecasting. Bulgarian Academy of Sciences, Cybernetics and Information Technologies, Volume 19, No. 2, Sofia, 2019, 74-86, DOI: 10.2478/cait-2019-0016

Romualdas Bausys, Birute Juodagalviene: Garage Location Selection for Residential House by WASPAS-SVNS Method. Journal of Civil Engineering and Management, 2017 Volume 23(3): 421-429, DOI: 10.3846/13923730.2016.1268645

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D. Sreeja, T. Sarankumar: Generalized Alpha Closed sets in Neutrosophic topological spaces. JASC: Journal of Applied Science and Computations, Volume 5, Issue 11, November 2018, 1816-1823

A. Pushpalatha, T. Nandhini: Generalized closed sets via neutrosophic topological spaces. Malaya Journal of Matematik, Vol. 7, No. 1, 50-54, 2019, DOI: 10.26637/MJM0701/0010

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Hai-Long Yang, Yan-Ling Bao, Zhi-Lian Guo: Generalized Interval Neutrosophic Rough Sets and its Application in Multi-Attribute Decision Making. Filomat 32:1 (2018), 11-33, DOI: 10.2298/FIL1801011Y

Yingcang Ma, Xiaohong Zhang, Xiaofei Yang, Xin Zhou: Generalized Neutrosophic Extended Triplet Group. Symmetry 2019, 11, 327, DOI: 10.3390/sym11030327

Vakkas Ulucay, Memet Sahin, Nasruddin Hassan: Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making. Symmetry 2018, 10, 437, DOI: 10.3390/sym10100437

Majdoleen Abu Qamar, Nasruddin Hassan: Generalized Q-Neutrosophic Soft Expert Set for Decision under Uncertainty. Symmetry 2018, 10, 621, DOI: 10.3390/sym10110621

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Indre Siksnelyte, Edmundas Kazimieras Zavadskas, Romualdas Bausys, Dalia Streimikiene: Implementation of EU energy policy priorities in the Baltic Sea Region countries: Sustainability assessment based on neutrosophic MULTIMOORA method. Energy Policy 125 (2019) 90-102

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Rashed Refaat, Ibrahim Mahmoud El-Henawy: Innovative method to evaluate quality management system audit results� using single value neutrosophic number. Cognitive Systems Research (2018), 10 p., DOI: 10.1016/j.cogsys.2018.10.014

Muhammad Aslam, Mohammed Albassam: Inspection Plan Based on the Process Capability Index Using the Neutrosophic Statistical Method. Mathematics 2019, 7, 631, DOI: 10.3390/math7070631

Muhammad Aslam, Mansour Sattam Aldosari: Inspection Strategy under Indeterminacy Based on Neutrosophic Coefficient of Variation. Symmetry 2019, 11, 193, DOI: 10.3390/sym11020193

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Ali Karasan, Eda Bolturk: Solid Waste Disposal Site Selection by Using Neutrosophic Combined Compromise Solution Method. 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019), 7 p.

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Donghai Liu, Guangyan Liu, Zaiming Liu: Some Similarity Measures of Neutrosophic Sets Based on the Euclidean Distance and Their Application in Medical Diagnosis. Hindawi, Computational and Mathematical Methods in Medicine, Volume 2018, Article ID 7325938, 9 pages, DOI: 10.1155/2018/7325938

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Yun Jin, Shahzaib Ashraf, Saleem Abdullah: Spherical Fuzzy Logarithmic Aggregation Operators Based on Entropy and Their Application in Decision Support Systems. Entropy 2019, 21, 628; DOI: 10.3390/e21070628

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Nisha Mannan, Shipra Khurana, Mamta Rani: Study of Different Kinds of Noises in Digital Images. International Journal of Engineering and Science, Volume 1 Issue 1, Apr.-June 2018, 17-22

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Edmundas Kazimieras Zavadskas, Romualdas Bausys, Marius Lazauskas: Sustainable Assessment of Alternative Sites for the Construction of a Waste Incineration Plant by Applying WASPAS Method with Single-Valued Neutrosophic Set. Sustainability 2015, 7, 15923�15936; DOI: 10.3390/su71215792

Edmundas Kazimieras Zavadskas, Romualdas Bausys, Arturas Kaklauskas, Ieva Ubarte, Agne Kuzminske, Neringa Gudiene: Sustainable market valuation of buildings by the single-valuedneutrosophic MAMVA method. Applied Soft Computing 57 (2017) 74-87, DOI: 10.1016/j.asoc.2017.03.040

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

Yameng Wang, Han Yang, Keyun Qin: The Consistency between Cross-Entropy and Distance Measures in Fuzzy Sets. Symmetry 2019, 11, 386; DOI: 10.3390/sym11030386

Xiaoying Wu, Xiaohong Zhang: The Decomposition Theorems of AG-Neutrosophic Extended Triplet Loops and Strong AG-(l, l)-Loops. Mathematics 2019, 7, 268; DOI: 10.3390/math7030268

Xiaozhuan Gao, Yong Deng: The generalization negation of probability distribution and its application in target recognition based on sensor fusion. International Journal of Distributed Sensor Networks 2019, Vol. 15(5), DOI: 10.1177/1550147719849381

Mohamed Abdel-Basset, Mai Mohamed: The role of single valued neutrosophic sets and rough sets in smart city: Imperfect and incomplete information systems. Measurement 124 (2018) 47-55

A. Awang, A. T. Ab Ghani, L. Abdullah, M. F. Ahmad: The Shapley weighting vector-based neutrosophic aggregation operator in DEMATEL method. 3rd International Conference on Mathematical Sciences and Statistics, IOP Conf. Series: Journal of Physics: Conf. Series 1132 (2018), DOI: 10.1088/1742-6596/1132/1/012059

Xiang Li, Xianjiu Huang: The Three-Way Decisions Method Based on Theory of Reliability with SV-Triangular Neutrosophic Numbers. Symmetry 2019, 11, 888; DOI: 10.3390/sym11070888

Peide Liu, Hongyu Yang: Three-Way Decisions with Single-Valued Neutrosophic Decision Theory Rough Sets Based on Grey Relational Analysis. Hindawi, Mathematical Problems in Engineering, Volume 2019, Article ID 3258018, 12 p., DOI: 10.1155/2019/3258018

Prem Kumar Singh: Three‑way n‑valued neutrosophic concept lattice at different granulation. International Journal of Machine Learning and Cybernetics (2018) 9:1839-1855, DOI: 10.1007/s13042-018-0860-3

Vakkas Ulucay, Mehmet Sahin, Necati Olgun: Time-neutrosophic Soft Expert Sets and Its Decision Making Problem. Matematika, 2018, Volume 34, Number 2, 245-260

Muhammad Aslam, P. Jeyadurga, Saminathan Balamurali, Ali Hussein AL-Marshadi: Time-Truncated Group Plan under aWeibull Distribution based on Neutrosophic Statistics. Mathematics 2019, 7, 905; DOI: 10.3390/math7100905

Jie Wang, Guiwu Wei, Mao Lu: TODIM Method for Multiple Attribute Group Decision Making under 2-Tuple Linguistic Neutrosophic Environment. Symmetry 2018, 10, 486; DOI: 10.3390/sym10100486

Surapati Pramanik, Rama Mallick: TODIM strategy for multi-attribute group decision making in trapezoidal neutrosophic number environment. Complex & Intelligent Systems, DOI: 10.1007/s40747-019-0110-7

Fernando A. F. Ferreira, Ieva Meidute-Kavaliauskiene: Toward a sustainable supply chain for social credit: learning by experience using single-valued neutrosophic sets and fuzzy cognitive maps. Annals of Operations Research, DOI: 10.1007/s10479-019-03194-2

Nguyen Thi Kim Son, Nguyen Phuong Dong, Le Hoang Son, Hoang Viet Long: Towards granular calculus of single-valued neutrosophic functions under granular computing. Multimedia Tools and Applications, DOI: 10.1007/s11042-019-7388-8

A. A. M. Saeed, B. Patrut, D. Danciulescu, A. Tugui, D. Danciulescu: Towards Medical Neutrosophic KRP Systems. BRAIN � Broad Research in Artificial Intelligence and Neuroscience, Volume 9, Issue 3 (September, 2018), 7 p.

Jun Ye: Trapezoidal neutrosophic set and its application to multiple attribute decision-making. Neural Comput & Applic (2015) 26:1157-1166, DOI : 10.1007/s00521-014-1787-6

Jiongmei Mo, Han-Liang Huang: (T, S)-Based Single-Valued Neutrosophic Number Equivalence Matrix and Clustering Method. Mathematics 2019, 7, 36; DOI: 10.3390/math7010036

Li-Ping Zhou, Jiu-Ying Dong, Shu-Ping Wan: Two New Approaches for Multi-Attribute Group Decision-Making With Interval-Valued Neutrosophic Frank Aggregation Operators and Incomplete Weights. 24 p., DOI: 10.1109/ACCESS.2019.2927133, IEEE Access

Jingqian Wang, Xiaohong Zhang: Two Types of Single Valued Neutrosophic Covering Rough Sets and an Application to Decision Making. Symmetry 2018, 10, 710; DOI: 10.3390/sym10120710

Bhargavi K., B. Sathish Babu: Uncertainty Aware Resource Provisioning Framework for Cloud Using Expected 3-SARSA Learning Agent: NSS and FNSS Based Approach. Bulgarian Academy of Sciences, Cybernetics and Information Technologies, Volume 19, No. 3, Sofia 2019, 94-117, DOI: 10.2478/cait-2019-0028

Jun Ye, Zebo Fang, Wenhua Cui: Vector Similarity Measures of Q-Linguistic Neutrosophic Variable Sets and Their Multi-Attribute Decision Making Method. Symmetry 2018, 10, 531; DOI: 10.3390/sym10100531

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