- 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 May 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/
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, 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 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, math, 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
Logic, T can be split into subcomponents T1, T2, ..., Tp,
and I into I1, I2, ..., Ir, and F into F1,
F2, ...,Fs, where p+r+s = n ≥ 1. Even more: T, I, and/or F
(or any of their subcomponents Tj, Ik, and/or Fl)
can be countable or uncountable infinite sets:
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.
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 generalizes the fuzzy set (especially intuitionistic fuzzy set), 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.
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THE MOST IMPORTANT PUBLICATIONS IN THE DEVELOPMENT OF NeutROSOPHICS |
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|
1995-1998 - Smarandache generalizes the Yin Yang and Dialectics to Neutrosophy;
introduces the
Neutrosophic set/logic/probability/statisti introductes the single-valued Neutrosophic set (pp. 7-8);
eBook 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);
Defin 2003 - introduction of Neutrosophic numbers (a+bI, where I = indeterminacy) 2003 - introduction of I-Neutrosophic algebraic structures 2003 - introduction to Neutrosophic Cognitive Maps 2005 - introduction of Interval Neutrosophic Set/Logic 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. 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] 2009 - introduction of N-norm and N-conorm
2013 - development of Neutrosophic Probability: NeutrosophicMeasureIntegralProbability.pdf 2013 - Smarandache refined the components (T, I, F) as (T1, T2, ...; I1, I2, ...; F1, F2, ...)
2014 - introduction of the Law of Included Multiple Middle (<A>; <Neut1A>, <Neut2A>, ...; <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) 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:
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) 2016 - Neutrosophic Triplet structures (F. Smarandache & M. Ali) and Neutrosophic Extended Triplet structures (Smarandache) 2016 - Neutrosophic Duplet structures 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) 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] 1998 - 2019: 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 ]. |
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BOOKS ON NEUTROSOPHICS
(
)
PhD DISSERTATIONS ON NEUTROSOPHICS AND THEIR APPLICATIONS:
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.
Artistic Style Characterization of Vincent van Gogh’s Brushstrokes (using Neutrosophy Based Segmentation Method), 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 gestão socioambiental para o socioecossistema bacia hidrografica Rio dos Sinos (Mapas Cognitivos Neutrosóficos e Números Neutrosóficos), por Rodolfo González Ortega, Orientador: Dr. João Alcione Sganderla Figueiredo, Universidade Feevale, Novo Hamburgo, Brasil, 2019.
Estrategia de Gestión en la Educación Superior; pertinencia e impacto en la interrelación de los procesos académicos, de investigación científica y de vinculación con la sociedad en el periodo enero 2016- mayo 2018 en la Facultad de Ciencias Jurídicas, Sociales y de la Educación de la Universidad Técnica 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 EspÃritu 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.
US NEUTROSOPHIC PATENTS:
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
NATIONAL AND INTERNATIONAL CONFERENCES ON NEUTROSOPHICS:
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 TèmÃtópé Gbóláhà n JaÃyéolá 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 2nd International Conference on Smart Applications and Data Analysis for Smart Cities [SADASC], Section: Machine Learning & applications, 27thand 28th 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 05th, 2018.
Neutrosophic Set and Logic and their Applications, COMSATS Institute of Information Technology, Abbottabad, Pakistan, December 22nd, 2017.
“Applications of Neutrosophic Sets in Image Identification, Medical Diagnosis, Fingerprints and Face Recognition†and “Neutrosophic Overset/Underset/Offsetâ€, COMSATS Institute of Information Technology, Abbottabad, Pakistan, December 26th, 2017.
Spanning Tree Problem with Neutrosophic Edge Weights, Said Broumi, Assia Bakali, Mohamed Tale, 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, 15th 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, 19th 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, 19th 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, 22nd May 2017.
Foundations of Neutrosophic Set and Logic with Applications [plenary lecture], International Conference on Contemporary Mathematics and the Real World (70th birthday anniversary of Prof. G. O. S. Ekhaguere), University of Ibadan, Ibadan, Oyo State, Nigeria, 23rd 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, 25th May 2017.
Foundations of Neutrosophic Set and Logic with Applications, University of Lagos, Department of Mathematics, Akoka-Yaba, Lagos State, Nigeria, Nigeria, 25th May 2017.
Foundations of Neutrosophic Set and Logic with Applications [plenary lecture], International Conference on Contemporary Mathematics and the Real World (70th birthday anniversary of Prof. G. O. S. Ekhaguere), University of Ibadan, Ibadan, Oyo State, Nigeria, 23rd 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.
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:
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
Florentin Smarandache. (2018). About Nonstandard Neutrosophic Logic (Answers to Imamura 'Note on the Definition of Neutrosophic Logic'), pp. 1-16, Cornell University, New York City, USA (Submitted on 24 Nov 2018 (v1), last revised 13 Feb 2019 (this version, v2)). Abstract: https://arxiv.org/abs/1812.02534v2. Full paper: https://arxiv.org/ftp/arxiv/papers/1812/1812.02534.pdf. http://doi.org/10.5281/zenodo.2837695
H.P. Ren, S.X. Xiao, H. Zhou. (2019). 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. http://doi.org/10.5281/zenodo.3045439
Elyas Rashno, Ahmad Akbari, Babak Nasersharif. (2019). A Convolutional Neural Network model based on Neutrosophy for Noisy Speech Recognition. http://doi.org/10.5281/zenodo.3045661
G. Kalpana, Z. Sumaiya Tasneem. (2019). A Fixed Point Approach on Bipolar Neutrosophic Soft Metric Space. AIP Conference Proceedings 2095, 030013. https://doi.org/10.1063/1.5097524. Published Online: 09 April 2019. http://doi.org/10.5281/zenodo.3045915
Hongjun Guan, Zongli Dai, Shuang Guan, Aiwu Zhao. (2018). A Forecasting Model Based on High-Order Fluctuation Trends and Information Entropy. Entropy 2018, 20, 669; doi:10.3390/e20090669. http://doi.org/10.5281/zenodo.3046019
Mohamed Abdel-Basset, M. Gunasekaran, Mai Mohamed, Naveen Chilamkurti. (2019). A framework for risk assessment, management and evaluation: Economic tool for quantifying risks in supply chain. Future Generation Computer Systems 90 / 2019, 489–502. http://doi.org/10.5281/zenodo.3047017
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T. Rajesh Kannan, S. Chandrasekar. (2018). Neutrosophic ωα - Closed Sets in Neutrosophic Topological Spaces. Journal of Computer and Mathematical Sciences, Vol. 9(10), 1400-1408, October 2018, http://doi.org/10.5281/zenodo.3047997
Young Bae Jun, Seok-Zun Song, Florentin Smarandache, Hashem Bordbar. (2018). Neutrosophic Quadruple BCK/BCI-Algebras. Axioms 2018, 7, 41, http://doi.org/10.5281/zenodo.2862227
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Xindong Peng. (2019). Neutrosophic reducible weighted Maclaurin symmetric mean for undergraduate teaching audit and evaluation. 10.1109/ACCESS.2019.2896701, IEEE Access, http://doi.org/10.5281/zenodo.3078392
Sameh H. Basha, Alaa Tharwat, Areeg Abdalla, Aboul Ella Hassanien. (2019). Neutrosophic rule-based prediction system for toxicity effects assessment of biotransformed hepatic drugs. Expert Systems With Applications 121, 142–157, http://doi.org/10.5281/zenodo.3078470
Juhun Lee, Robert M. Nishikawa, Ingrid Reiser, John M. Boone. (2019). Neutrosophic segmentation of breast lesions for dedicated breast CT. http://doi.org/10.5281/zenodo.3078560
Derya Bakbak, Vakkas Ulucay, Memet Sahin. (2019). Neutrosophic Soft Expert Multiset and Their Application to Multiple Criteria Decision Making. Mathematics 2019, 7, 50; doi:10.3390/math7010050, http://doi.org/10.5281/zenodo.3078604
Hongjun Guan, Jie He, Shuang Guan, Aiwu Zhao. (2019). Neutrosophic soft sets forecasting model for multi-attribute time series. 10.1109/ACCESS.2019.2897719, IEEE Access, http://doi.org/10.5281/zenodo.3078670
Muhammad Akram, Hina Gulzar, Florentin Smarandache. (2019). Neutrosophic Soft Topological K-Algebras. Neutrosophic Sets and Systems, Vol. 25; 2019, pp. 104-124, http://doi.org/10.5281/zenodo.2862337
Jun Ye, Wenhua Cui. (2018). Neutrosophic state feedback design method for SISO neutrosophic linear systems. Cognitive Systems Research 52, 1056–1065, http://doi.org/10.5281/zenodo.3078756
Deepesh Kunwar, Jayant Singh, Florentin Smarandache. (2018). Neutrosophic statistical techniques to find migration pattern in Jaipur. Octogon Mathematical Magazine, vol. 26, no. 2, october 2018, pp. 560-568, http://doi.org/10.5281/zenodo.2862479
Mikail Bal, Moges Mekonnen Shalla, Necati Olgun. (2018). Neutrosophic Triplet Cosets and Quotient Groups. Symmetry 2018, 10, 126; doi:10.3390/sym10040126, http://doi.org/10.5281/zenodo.3078828
Memet Sahin, Abdullah Kargin. (2018). Neutrosophic Triplet v-Generalized Metric Space. Axioms 2018, 7, 67; doi:10.3390/axioms7030067, http://doi.org/10.5281/zenodo.3079314
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Deepesh Kunwar, Jayant Singh, Florentin Smarandache. (2018). Neutrosophic statistical techniques to find migration pattern in Jaipur. Octogon Mathematical Magazine, vol. 26, no. 2, october 2018, pp. 583-592. http://doi.org/10.5281/zenodo.2862479
S. A. Alblowi, A.A. Salama, Mohmed Eisa. (2014). New Concepts of Neutrosophic Sets. International Journal of Mathematics and Computer Applications Research (IJMCAR), Vol. 4, Issue 1, Feb 2014, 59-66, http://doi.org/10.5281/zenodo.3079482
Chang Xing Fan, En Fan, Keli Hu. (2018). New form of single valued neutrosophic uncertain linguistic variables aggregation operators for decision-making. Cognitive Systems Research 52, 1045–1055, http://doi.org/10.5281/zenodo.3079564
Harish Garg, Nancy. (2018). New logarithmic operational laws and their applications to multiattribute decision making for single-valued neutrosophic numbers. Cognitive Systems Research 52, 931–946, http://doi.org/10.5281/zenodo.3079660
Chunxin Bo, Xiaohong Zhang, Songtao Shao, Florentin Smarandache. (2018). New Multigranulation Neutrosophic Rough Set with Applications. Symmetry 2018, 10, 578; doi:10.3390/sym10110578, http://doi.org/10.5281/zenodo.2862575
Han Yang, Xiaoman Wang, Keyun Qin. (2019). New Similarity and Entropy Measures of Interval Neutrosophic Sets with Applications in Multi-Attribute Decision-Making. Symmetry 2019, 11, 370; doi:10.3390/sym11030370, http://doi.org/10.5281/zenodo.3079818
Qingqing Hu, Xiaohong Zhang. (2018). New Similarity Measures of Single-Valued Neutrosophic Multisets Based on the Decomposition Theorem and Its Application in Medical Diagnosis. Symmetry 2018, 10, 466; doi:10.3390/sym10100466, http://doi.org/10.5281/zenodo.3079888
Mumtaz Ali, Huma Khan, Le Hoang Son, Florentin Smarandache, W. B. Vasantha Kandasamy. (2018). New Soft Set Based Class of Linear Algebraic Codes. Symmetry 2018, 10, 510; doi:10.3390/sym10100510, http://doi.org/10.5281/zenodo.2862633
M. Nikfar. (2019). Nikfar Domination in Neutrosophic Graphs. http://doi.org/10.5281/zenodo.3079983
Mohamed Abdel-Basset, Mai Mohamed, Victor Chang. (2018). NMCDA: A framework for evaluating cloud computing services. Future Generation Computer Systems 86 / 2018, 12–29, http://doi.org/10.5281/zenodo.3080079
Muhammad Akram, Maryam Nasir, K. P. Shum. (2018). Novel applications of bipolar single-valued neutrosophic competition graphs. Appl. Math. J. Chinese Univ. 2018, 33(4): 436-467, http://doi.org/10.5281/zenodo.3080281
Sudip Bhattacharyya, Bikas Koli Roy, Pinaki Majumdar. (2018). On Distances and Similarity Measures between Two Interval Neutrosophic Sets. Journal of New Theory 20 / 2018, 27-47, http://doi.org/10.5281/zenodo.3080463
Mohana K., Christy V., Florentin Smarandache. (2018). On Multi-Criteria Decision Making problem via Bipolar Single-Valued Neutrosophic Settings. Neutrosophic Sets and Systems, Vol. 25 / 2018, pp. 125-135, http://doi.org/10.5281/zenodo.2862739
P Evanzalin Ebenanjar, H Jude Immaculate, C Bazil Wilfred. (2018). On Neutrosophic b-open sets in Neutrosophic topological space. International Conference on Applied and Computational Mathematics, IOP Conf. Series: Journal of Physics: Conf. Series 1139 (2018) 012062, IOP Publishing, doi:10.1088/1742-6596/1139/1/012062, http://doi.org/10.5281/zenodo.3076790
Riad K. Al-Hamido, T. Gharibah, S. Jafari, Florentin Smarandache. (2018). On Neutrosophic Crisp Topology via N-Topology. Neutrosophic Sets and Systems, Vol. 23 / 2018, pp. 96-109, http://doi.org/10.5281/zenodo.2862797
Francisco Gallego Lupianez. (2017). On Neutrosophic Sets and Topology. 9th International Conference on Theory and Application of Soft Computing, Computing with Words and Perception, ICSCCW 2017, 24-25 August 2017, Budapest, Hungary, Procedia Computer Science 120 / 2017, 975–982, http://doi.org/10.5281/zenodo.3080675
Muhammad Riaz, Florentin Smarandache, Atiqa Firdous, Atiqa Fakhar. (2019). On Soft Rough Topology with Multi-Attribute Group Decision Making. Mathematics 2019, 7, 67; doi:10.3390/math7010067, http://doi.org/10.5281/zenodo.2862867
Temitope Gbolahan Jaiyeola, Emmanuel Ilojide, Memudu Olaposi Olatinwo, Florentin Smarandache. (2018). On the Classification of Bol-Moufang Type of Some Varieties of Quasi Neutrosophic Triplet Loop (Fenyves BCI-Algebras). Symmetry 2018, 10, 427; doi:10.3390/sym10100427, http://doi.org/10.5281/zenodo.2862943
Florentin Smarandache. (2018). Operadores con conjunto neutrosoficos de valor unico Oversets, Undersets y Offset. Neutrosophic Computing and Machine Learning , Vol. 4 / 2018, http://doi.org/10.5281/zenodo.2863023
Jun Ye, Wenhua Cui. (2018). Operations and Aggregation Methods of Single-Valued Linguistic Neutrosophic Interval Linguistic Numbers and Their Decision Making Method. Information 2018, 9, 196; doi:10.3390/info9080196, http://doi.org/10.5281/zenodo.3080727
Wei-zhang Liang, Guo-yan Zhao, Chang-shou Hong. (2018). Performance assessment of circular economy for phosphorus chemical firms based on VIKOR-QUALIFLEX method. Journal of Cleaner Production 196, 1365-1378, http://doi.org/10.5281/zenodo.3129164
Florentin Smarandache. (2018). Plithogenic Set, an Extension of Crisp, Fuzzy, Intuitionistic Fuzzy, and Neutrosophic Sets - Revisited. Neutrosophic Sets and Systems, Vol. 21 / 2018, pp. 153-166, http://doi.org/10.5281/zenodo.2863071
Rajab Ali Borzooei, M. Mohseni Takallo, Florentin Smarandache, Young Bae Jun. (2019). Positive implicative BMBJ-neutrosophic ideals in BCK-algebras. Neutrosophic Sets and Systems, Vol. 23, 2018, pp. 126-144, http://doi.org/10.5281/zenodo.2863127
Kul Hur, Jeong Gon Lee, Young Bae Jun. (2019). Positive implicative MBJ-neutrosophic ideals of BCK/BCI-algebras. Annals of Fuzzy Mathematics and Informatics, http://doi.org/10.5281/zenodo.3129296
Faruk Karaaslan. (2017). Possibility neutrosophic soft sets and PNS-decision making method. Applied Soft Computing 54 / 2017, 403–414, http://doi.org/10.5281/zenodo.3129396
Songtao Shao, Xiaohong Zhang, Yu Li, Chunxin Bo. (2018). Probabilistic Single-Valued (Interval) Neutrosophic Hesitant Fuzzy Set and Its Application in Multi-Attribute Decision Making. Symmetry 2018, 10, 419; doi:10.3390/sym10090419, http://doi.org/10.5281/zenodo.3129544
Xiaohong Zhang, Rajab Ali Borzooei, Young Bae Jun. (2018). Q-Filters of Quantum B-Algebras and Basic Implication Algebras. Symmetry 2018, 10, 573; doi:10.3390/sym10110573, http://doi.org/10.5281/zenodo.3129634
U. Solang, J. Ye. (2018). Refined Simplified Neutrosophic Similarity Measures Based on Trigonometric Function and Their Application in Construction Project Decision Making. Journal of Soft Computing in Civil Engineering 2-3/2018, 1-12, http://doi.org/10.5281/zenodo.3129732
Joanna Jaworek-Korjakowska, Pawel Kleczek. (2018). Region Adjacency Graph Approach for Acral Melanocytic Lesion Segmentation. Appl. Sci. 2018, 8, 1430; doi:10.3390/app8091430, http://doi.org/10.5281/zenodo.3129806
Ashraf Al-Quran, Shawkat Alkhazaleh. (2018). Relations between the Complex Neutrosophic Sets with Their Applications in Decision Making. Axioms 2018, 7, 64; doi:10.3390/axioms7030064, http://doi.org/10.5281/zenodo.3129906
Victor Christianto, Florentin Smarandache. (2018). Remark on vacuum uctuation as the cause of Universe creation: Or How Neutrosophic Logic and Material Point Method may Resolve Dispute on the Origin of the Universe through re-reading Gen. 1:1-2. Asia Mathematika, Volume 2, Issue 2 / 2018, pp. 1-12, http://doi.org/10.5281/zenodo.2863229
Huiling Xue, Minrong Yu, Chunfang Chen. (2019). Research on Novel Correlation Coefficient of Neutrosophic Cubic Sets and Its Applications. Mathematical Problems in Engineering, Volume 2019, Article ID 7453025, 10 pages, https://doi.org/10.1155/2019/7453025, http://doi.org/10.5281/zenodo.3129990
Nguyen Xuan Thao, Bui Cong Cuong, Florentin Smarandache. (2018). Rough Standard Neutrosophic Sets: an Application on standard Neutrosophic Information Systems. J Fundam Appl Sci. 2018, 10(4S), 615-622, http://doi.org/10.5281/zenodo.2863295
Wenzhong Jiang, Jun Ye, Wenhua Cui. (2018). Scale Effect and Anisotropic Analysis of Rock Joint Roughness Coefficient Neutrosophic Interval Statistical Numbers Based on Neutrosophic Statistics. Journal of Soft Computing in Civil Engineering 2-4 / 2018, 62-71, http://doi.org/10.5281/zenodo.3130240
R.Uma, P. Murugadas, S.Sriram. (2018). Section of Fuzzy Neutrosophic Soft Matrix. International Journal of Pure and Applied Mathematics, Volume 118, No. 23/2018, 79-87, http://doi.org/10.5281/zenodo.3130342
Mumtaz Ali, Le Hoang Son, Mohsin Khan, Nguyen Thanh Tung. (2018). Segmentation of dental X-ray images in medical imaging using neutrosophic orthogonal matrices. Expert Systems With Applications 91, 434–441, http://doi.org/10.5281/zenodo.3130414
Pu Ji, Hong-yu Zhang, Jian-qiang Wang. (2018). Selecting an outsourcing provider based on the combined MABAC–ELECTRE method using single-valued neutrosophic linguistic sets. Computers and Industrial Engineering 120, 429–441, http://doi.org/10.5281/zenodo.3130506
Edmundas Kazimieras Zavadskas, Romualdas Bausys, Dragisa Stanujkic, Marija Magdalinovic-Kalinovic. (2016). Selection of lead-zinc flotation circuit design by applying WASPAS method with single-valued neutrosophic set. Acta Montanistica Slovaca, Volume 21, number 2, 85-92, http://doi.org/10.5281/zenodo.3130624
Florentin Smarandache. (2016). Subtraction and Division of Neutrosophic
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A.A. Salama, I.M.Hanafy, M. S. Dabash. (2018). Semi-Compact and Semi-Lindelof Spaces via Neutrosophic Crisp Set Theory. Asia Mathematika, Volume 2, Issue 2 / 2018, pp. 41-48, http://doi.org/10.5281/zenodo.3130970
Ahmed B. AL-Nafee, Riad K. Al-Hamido, Florentin Smarandache. (2019). Separation Axioms in Neutrosophic Crisp Topological Spaces. Neutrosophic Sets and Systems, Vol. 25, 2019, pp. 25-32, http://doi.org/10.5281/zenodo.2863357
Vasile Patrascu. (2018). Shannon Entropy for Neutrosophic Information. Technical Report, R.C.E.I.T-1.9.18, September 23, 2018, http://doi.org/10.5281/zenodo.3131095
Broumi Said, Mohamed Talea, Assia Bakali, Florentin Smarandache, Deivanayagampillai Nagarajan, Malayalan Lathamaheswari, Mani Parimala. (2019). Shortest path problem in fuzzy, intuitionistic fuzzy and neutrosophic environment: an overview. Complex Intelligent Systems, https://doi.org/10.1007/s40747-019-0098-z,http://doi.org/10.5281/zenodo.2863419
Broumi Said, Assia Bakali, Mohamed Talea, Florentin Smarandache, K. P. Krishnan Kishore, Ridvan Sahin. (2018). Shortest Path Problem Under Interval Valued Neutrosophic Setting. J Fundam Appl Sci. 2018, 10(4S), 168-174, http://dx.doi.org/10.4314/jfas.v10i4s.77, http://doi.org/10.5281/zenodo.2863509
Broumi Said, Arindam Dey, Mohamed Talea, Assia Bakali, Florentin Smarandache, Deivanayagampillai Nagarajan, et al. (2019). Shortest path problem using Bellman algorithm under neutrosophic environment. Complex Intelligent Systems, https://doi.org/10.1007/s40747-019-0101-8, http://doi.org/10.5281/zenodo.2863619
Vakkas Ulucay, Irfan Deli, Mehmet Sahin. (2016). Similarity measures of bipolar neutrosophic sets and their application to multiple criteria decision making. Neural Comput Applic, DOI 10.1007/s00521-016-2479-1, http://doi.org/10.5281/zenodo.3131159
Jihong Chen, Kai Xue, Jun Ye, Tiancun Huang, Yan Tian, Chengying Hua, Yuhua Zhu. (2019). Simplified Neutrosophic Exponential Similarity Measures for Evaluation of Smart Port Development. Symmetry 2019, 11, 485; doi:10.3390/sym11040485, http://doi.org/10.5281/zenodo.3131219
Zhang-peng Tian, Jing Wang, Hong-yu Zhang, Xiao-hong Chen, Jian-qiang Wang. (2016). Simplified Neutrosophic Linguistic NormalizedWeighted Bonferroni Mean Operator and Its Application to Multi-Criteria Decision-Making Problems. Filomat 30:12 (2016), 3339–3360, DOI 10.2298/FIL1612339T, http://doi.org/10.5281/zenodo.3131458
Juan-juan Peng, Jian-qiang Wang, Jing Wang, Hong-yu Zhang, Xiao-hong Chen. (2016). Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems. International Journal of Systems Science, Vol. 47, No. 10, 2342–2358, http://dx.doi.org/10.1080/00207721.2014.994050, http://doi.org/10.5281/zenodo.2863728
Xu Libo, Li Xingsen, Pang Chaoyi, Guo Yan. (2018). Simplified Neutrosophic Sets Based on Interval Dependent Degree for Multi-Criteria Group Decision-Making Problems. Symmetry 2018, 10, 640; doi:10.3390/sym10110640, http://doi.org/10.5281/zenodo.3131669
Broumi Said, Mullai Murugappan, Mohamed Talea, Assia Bakali, Florentin Smarandache, Prem Kumar Singh, Arindam Dey. (2019). Single Valued (2n+1) Sided Polygonal Neutrosophic Numbers And Single Valued (2n) Sided Polygonal Neutrosophic Numbers. Neutrosophic Sets and Systems, Vol. 25, pp. 54-65, http://doi.org/10.5281/zenodo.2863798
Qiaoyan Li, Yingcang Ma, Florentin Smarandache, Shuangwu Zhu. (2018). Single-Valued Neutrosophic Clustering Algorithm Based on Tsallis Entropy Maximization. Axioms 2018, 7, 57; doi:10.3390/axioms7030057, http://doi.org/10.5281/zenodo.2863866
Firoz Ahmad, Ahmad Yusuf Adhami, Florentin Smarandache. (2018). Single Valued Neutrosophic Hesitant Fuzzy Computational Algorithm for Multiobjective Nonlinear Optimization Problem. Neutrosophic Sets and Systems, Vol. 22, pp. 76-86, http://doi.org/10.5281/zenodo.2863934
Muhammad Akram, Hina Gulzar, Kar Ping Shum. (2019). Single-Valued Neutrosophic Lie Algebras. Journal of Mathematical Research with Applications, Mar., 2019, Vol. 39, No. 2, pp. 141–152, DOI:10.3770/j.issn:2095-2651.2019.02.003, http://doi.org/10.5281/zenodo.3133430
Hassan, M. A. Malik. (2018). Single Valued Neutrosophic Trees. TWMS J. App. Eng. Math. V.8, N.1a / 2018, pp. 255-266, http://doi.org/10.5281/zenodo.3133524
Xiaohong Zhang, Xuejiao Wang, Florentin Smarandache, Temitope Gbolahan Jaiyeola, Tieyan Lian. (2018). Singular neutrosophic extended triplet groups and generalized groups. Cognitive Systems Research, http://doi.org/10.5281/zenodo.2863986
Mikail Bal, Necati Olgun. (2018). Soft Neutrosophic Modules. Mathematics 2018, 6, 323; doi:10.3390/math6120323, http://doi.org/10.5281/zenodo.3133612
H.A.Khalifa, N.M.Alharbi. (2017). Solving Multi-Objective Optimization Problems through Unified Approach. Annals of Pure and Applied Mathematics, Vol. 14, No. 2/2017, 327-336, http://doi.org/10.5281/zenodo.3133714
S. Subasri, K. Selvakumari. (2019). Solving Neutrosophic Travelling Salesman Problem in Triangular Fuzzy Number Using Ones Assignment Method. Eurasian Journal of Analytical Chemistry, Open Access 2019 14 (1): 84-90, http://doi.org/10.5281/zenodo.3133798
Qaisar Khan, Peide Liu, Tahir Mahmood. (2018). Some Generalized Dice Measures for Double-Valued Neutrosophic Sets and Their Applications. Mathematics 2018, 6, 121; doi:10.3390/math6070121, http://doi.org/10.5281/zenodo.3133872
Qaisar Khan, Peide Liu, Tahir Mahmood, Florentin Smarandache, Kifayat Ullah. (2018). Some Interval Neutrosophic Dombi Power Bonferroni Mean Operators and Their Application in Multi–Attribute Decision–Making. Symmetry 2018, 10, 459; doi:10.3390/sym10100459, http://doi.org/10.5281/zenodo.2864038
Muhammad Gulistan, Hafiz Abdul Wahab, Florentin Smarandache, Salma Khan, Sayed Inayat Ali Shah. (2018). Some Linguistic Neutrosophic Cubic Mean Operators and Entropy with Applications in a Corporation to Choose an Area Supervisor. Symmetry 2018, 10, 428; doi:10.3390/sym10100428, http://doi.org/10.5281/zenodo.2864134
Qun Wu, Peng Wu, Ligang Zhou, Huayou Chen, Xianjun Guan. (2018). Some new Hamacher aggregation operators under single-valued neutrosophic 2-tuple linguistic environment and their applications to multiattribute group decision making. Computers Industrial Engineering 116, 144–162, http://doi.org/10.5281/zenodo.3133962
Mehmet Sahin, Vakkas Ulucay, Merve Menekce. (2018). Some New Operations of (alpha, beta, gamma) Interval Cut Set of Interval Valued Neutrosophic Sets. J. Math. Fund. Sci., Vol. 50, No. 2, 2018, 103-120, http://doi.org/10.5281/zenodo.3134088
Faruk Karaaslan, Khizar Hayat. (2018). Some new operations on single-valued neutrosophic matrices and their applications in multi-criteria group decision making. Applied Intelligence, https://doi.org/10.1007/s10489-018-1226-y, http://doi.org/10.5281/zenodo.3134206
Hu Zhao, Hong-Ying Zhang. (2018). Some Results on Multigranulation Neutrosophic Rough Sets on a Single Domain. Symmetry 2018, 10, 417; doi:10.3390/sym10090417,http://doi.org/10.5281/zenodo.3134302
Shio Gai Quek, Broumi Said, Ganeshsree Selvachandran, Assia Bakali, Mohamed Talea, Florentin Smarandache. (2018). Some Results on the Graph Theory for Complex Neutrosophic Sets. Symmetry 2018, 10, 190; doi:10.3390/sym10060190, http://doi.org/10.5281/zenodo.2864554
Naeem Jan, Kifayat Ullah, Tahir Mahmood, Harish Garg, Bijan Davvaz, Arsham Borumand Saeid, Said Broumi. (2019). Some Root Level Modifications in Interval Valued Fuzzy Graphs and Their Generalizations Including Neutrosophic Graphs. Mathematics 2019, 7, 72; doi:10.3390/math7010072, http://doi.org/10.5281/zenodo.3134372
Donghai Liu, Guangyan Liu, Zaiming Liu. (2018). Some Similarity Measures of Neutrosophic Sets Based on the Euclidean Distance and Their Application in Medical Diagnosis. Computational and Mathematical Methods in Medicine, Volume 2018, Article ID 7325938, 9 pages, https://doi.org/10.1155/2018/7325938, http://doi.org/10.5281/zenodo.3134480
K. Kalaiarasi, R.Divya. (2018). Strong Interval-valued Neutrosophic Intuitionistic Fuzzy Graph. International Journal of Pure and Applied Mathematics, Volume 120, No. 5/2018, 1251-1272, http://doi.org/10.5281/zenodo.3134616
Rafif Elhbebib, A.A. Salama. (2019). Studying the random variables according to Neutrosophic Logic. https://www.researchgate.net/publication/328108252,http://doi.org/10.5281/zenodo.3134704
Nisha Mannan, Shipra Khurana, Mamta Rani. (2018). Study of Different Kinds of Noises in Digital Images. ISS - International Journal of Engineering and Science, Volume 1, Issue 1, Apr-June 2018, http://doi.org/10.5281/zenodo.3134800
Jun Ye. (2017). Subtraction and Division Operations of Simplified Neutrosophic Sets. Information 2017, 8, 51; doi:10.3390/info8020051, http://doi.org/10.5281/zenodo.3134936
Edmundas Kazimieras Zavadskas, Romualdas Bausys, Marius Lazauskas. (2015). 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, http://doi.org/10.5281/zenodo.3135036
Edmundas Kazimieras Zavadskas, Romualdas Bausys, Arturas Kaklauskas, Ieva Ubarte, Agne Kuzminske, Neringa Gudiene. (2019). Sustainable market valuation of buildings by the single-valuedneutrosophic MAMVA method. Applied Soft Computing 57 (2017) 74–87, http://doi.org/10.5281/zenodo.3135364
Muhammad Aslam, Osama H. Arif. (2018). Testing of Grouped Product for the Weibull Distribution Using Neutrosophic Statistics. Symmetry 2018, 10, 403; doi:10.3390/sym10090403, http://doi.org/10.5281/zenodo.3135414
Huda E. Khalid, Florentin Smarandache, Ahmed K. Essa. (2018). The Basic Notions for (over, off, under) Neutrosophic Geometric Programming Problems. Neutrosophic Sets and Systems, Vol. 22, 2018, pp. 50-62, http://doi.org/10.5281/zenodo.2864616
Yameng Wang, Han Yang, Keyun Qin. (2019). The Consistency between Cross-Entropy and Distance Measures in Fuzzy Sets. Symmetry 2019, 11, 386; doi:10.3390/sym11030386, http://doi.org/10.5281/zenodo.3135493
Xiaoying Wu, Xiaohong Zhang. (2019). The Decomposition Theorems of AG-Neutrosophic Extended Triplet Loops and Strong AG-(l, l)-Loops. Mathematics 2019, 7, 268; doi:10.3390/math7030268, http://doi.org/10.5281/zenodo.3135577
Mohamed Abdel-Basset, Mai Mohamed. (2018). The role of single valued neutrosophic sets and rough sets in smart city: Imperfect and incomplete information systems. Measurement 124, 47–55, http://doi.org/10.5281/zenodo.3135649
A Awang, A T Ab Ghani, L Abdullah, M F Ahmad. (2018). 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) 012059, IOP Publishing, doi:10.1088/1742-6596/1132/1/012059, http://doi.org/10.5281/zenodo.3135721
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Jiangbo Feng, Min Li, Yansong Li: Study of Decision Framework of Shopping Mall Photovoltaic Plan Selection Based on DEMATEL and ELECTRE III with Symmetry under Neutrosophic Set Environment. In Symmetry, 2018, vol. 10, 20 pages. http://doi.org/10.5281/zenodo.1413964
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T. Srinivasa Rao, B. Srinivasa Kumar, S. Hanumanth Rao: Use of Γ(Gamma)- Soft set in Application of Decision Making Problem. In Jour of Adv Research in Dynamical & Control Systems, Vol. 10, 2018, 8 pages. http://doi.org/10.5281/zenodo.1414026
Pu Ji, Peng-fei Cheng, Hongyu Zhang, Jianqiang Wang. Interval valued neutrosophic Bonferroni mean operators and the application in the selection of renewable energy. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 12-39. http://doi.org/10.5281/zenodo.1237901
Dragisa Stanujkic, Florentin Smarandache, Edmundas Kazimieras Zavadskas, Darjan Karabasevic. An approach to measuring the website quality based on neutrosophic sets. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 40-50. http://doi.org/10.5281/zenodo.1237857
Mehmet Sahin, Abdullah Kargin, Florentin Smarandache. Generalized Single Valued Triangular Neutrosophic Numbers and Aggregation Operators for Application to Multi-attribute Group Decision Making. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 51-84. http://doi.org/10.5281/zenodo.1237887
Mehmet Sahin, Vakkas Ulucay, Hatice Acioglu. Some weighted arithmetic operators and geometric operators with SVNSs and their application to multi-criteria decision making problems. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 85-104. http://doi.org/10.5281/zenodo.1237954
Pranab Biswas, Surapati Pramanik, Bibhas C. Giri. Multi-attribute group decision making based on expected value of neutrosophic trapezoidal numbers. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 105-124. http://doi.org/10.5281/zenodo.1237907
Kalyan Mondal, Surapati Pramanik, Bibhas C. Giri. Multi-criteria group decision making based on linguistic refined neutrosophic strategy. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 125-139. http://doi.org/10.5281/zenodo.1237920
Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy. TODIM Method for Group Decision Making under Bipolar Neutrosophic Set Environment. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 140-155. http://doi.org/10.5281/zenodo.1237956
Surapati Pramanik, Partha Pratim Dey, Bibhas C. Giri. Hybrid vector similarity measure of single valued refined neutrosophic sets to multi-attribute decision making problems. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 156-174. http://doi.org/10.5281/zenodo.1237895
Surapati Pramanik, Rumi Roy, Tapan Kumar Roy. Multi criteria decision making based on projection and bidirectional projection measures of rough neutrosophic sets . In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 175-188. http://doi.org/10.5281/zenodo.1237916
Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, V. Venkateswara Rao. Bipolar complex neutrosophic graphs of type 1. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 189-208. http://doi.org/10.5281/zenodo.1237869
Chalapathi, R. V. M. S. S. Kiran Kumar, Florentin Smarandache. Neutrosophic invertible graphs of neutrosophic rings. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 209-217. http://doi.org/10.5281/zenodo.1237928
Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Faruk Karaaslan. Interval valued neutrosophic soft graphs. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 218-252. http://doi.org/10.5281/zenodo.1237905
A.A. Salama, Mohamed Eisa, Hewayda ElGhawalby, A. E. Fawzy. Neutrosophic image retrieval with hesitancy degree. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 253-260. http://doi.org/10.5281/zenodo.1237924
R. Dhavaseelan, S. Jafari. Generalized neutrosophic closed sets. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 261-274. http://doi.org/10.5281/zenodo.1237881
Mehmet Sahin, Vakkas Ulucay, Said Broumi. Bipolar neutrosophic soft expert set theory. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 275-288. http://doi.org/10.5281/zenodo.1237874
R. Dhavaseelan, M. Ganster, S. Jafari, M. Parimala. On neutrosophic α-supra open sets and neutrosophic α-supra continuous functions. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 289-298. http://doi.org/10.5281/zenodo.1237946
S. Jafari, N. Rajesh. Neutrosophic contra-continuous multi-functions. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 299-307. http://doi.org/10.5281/zenodo.1237922
Seok-Zun Song, Madad Khan, Florentin Smarandache, Young Bae Jun. A novel extension of neutrosophic sets and its application in BCK/BCI-algebras. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 308-328. http://doi.org/10.5281/zenodo.1237866
M. Caldas, R. Dhavaseelan, M. Ganster, S. Jafari. Neutrosophic resolvable and neutrosophic irresolvable spaces . In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 327-335. http://doi.org/10.5281/zenodo.1237934
R. Dhavaseelan, S. Jafari, R. M. Latif, F. Smarandache. Neutrosophic rare α-continuity. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 336-344. http://doi.org/10.5281/zenodo.1237932
R. Dhavaseelan, S. Jafari, N. Rajesh, F. Smarandache. Neutrosophic semi-continuous multifunctions. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 345-354. http://doi.org/10.5281/zenodo.1237938
R. Dhavaseelan, S. Jafari, C. Ozel, M. A. Al-Shumrani. Generalized neutrosophic contra-continuity. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 355-370. http://doi.org/10.5281/zenodo.1237885
M. Parimala, M. Karthika, R. Dhavaseelan, S. Jafari. On neutrosophic supra pre-continuous functions in neutrosophic topological spaces. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 371-383. http://doi.org/10.5281/zenodo.1237948
Tahir Mahmood, Qaisar Khan, Kifayat Ullah, Naeem Jan. Single valued neutrosophic finite state machine and switchboard state machine. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 384-402. http://doi.org/10.5281/zenodo.1237952
Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Vakkas Ulucay, Mehmet Sahin, Arindam Dey, Mamouni Dhar, Rui-Pu Tan, Ayoub Bahnasse, Surapati Pramanik. Neutrosophic Sets: An Overview. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 403-434. http://doi.org/10.5281/zenodo.1237940
Vasile Patrascu. Entropy, Neutro-entropy and anti-entropy for neutrosophic information. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 435-448. http://doi.org/10.5281/zenodo.1237879
Selcuk Topal, Florentin Smarandache. A lattice theoretic look: a negated approach to adjectival (intersective, neutrosophic and private) phrases and more. In Florentin Smarandache, Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and Applications, Volume II. Brussels: Pons Editions, 2018; pp. 449-459. http://doi.org/10.5281/zenodo.1237852
Vasantha KandasamyW.B., Ilanthenral Kandasamy, Florentin Smarandache: A Classical Group of Neutrosophic Triplet Groups. In Symmetry 2018, 10, 194, 8 p. http://doi.org/10.5281/zenodo.1410094
Mai Mohamed, Mohamed Abdel-Baset, Florentin Smarandache, Yongquan Zhou: A Critical Path Problem Using Triangular Neutrosophic Number. In Neutrosophic Operational Research, Volume I, pp. 155-165. http://doi.org/10.5281/zenodo.1410104
Mai Mohamed, Mohamed Abdel-Baset, Florentin Smarandache, Yongquan Zhou: A Critical Path Problem in Neutrosophic Environment. In Neutrosophic Operational Research, Volume I, pp. 167-174. http://doi.org/10.5281/zenodo.1410106
Mohamed Abdel-Basset, Mai Mohamed, Florentin Smarandache: A Hybrid Neutrosophic Group ANP-TOPSIS Framework for Supplier Selection Problems. In Symmetry, 2018, 10, 226. 21 p. http://doi.org/10.5281/zenodo.1410112
Selçuk Topal, Florentin Smarandache: A Lattice Theoretic Look: A Negated Approach to Adjectival (Intersective, Neutrosophic and Private) Phrases and More. In New Trends in Neutrosophic Theory and Applications, Volume II, pp. 449-459. http://doi.org/10.5281/zenodo.1410116
Dragisa Stanujkic, Florentin Smarandache, Edmundas Kazimieras Zavadskas, Darjan Karabasevic: An Approach to Measuring the Website Quality Based on Neutrosophic Sets. In New Trends in Neutrosophic Theory and Applications. Volume II, pp. 40-50. http://doi.org/10.5281/zenodo.1410120
Arindam Dey, Said Broumi, Le Hoang Son, Assia Bakali, Mohamed Talea, Florentin Smarandache: A new algorithm for finding minimum spanning trees with undirected neutrosophic graphs. Springer International Publishing AG, 2018. 7 p. http://doi.org/10.5281/zenodo.1410122
Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Kishore Kumar P. K.: A New Concept of Matrix Algorithm for MST in Undirected Interval Valued Neutrosophic Graph. In Neutrosophic Operational Research, Volume II, pp. 54-69. http://doi.org/10.5281/zenodo.1410124
Florentin Smarandache, Huda E. Khalid, Ahmed K. Essa: A New Order Relation on the Set of Neutrosophic Truth Values. In New Trends in Neutrosophic Theory and Applications, pp. 413-414. http://doi.org/10.5281/zenodo.1410129
Ganeshsree Selvachandran, Shio Gai Quek, Florentin Smarandache, Said Broumi: An Extended Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) with Maximizing Deviation Method Based on Integrated Weight Measure for Single-Valued Neutrosophic Sets. In Symmetry, 2018, 10, 236, 17 p. http://doi.org/10.5281/zenodo.1410135
Mohamed Abdel-Basset, Mai Mohamed, Florentin Smarandache: An Extension of Neutrosophic AHP–SWOT Analysis for Strategic Planning and Decision-Making. In Symmetry 2018, 10, 116, 16 p. http://doi.org/10.5281/zenodo.1410143
Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache: An Isolated Bipolar Single-Valued Neutrosophic Graphs. In Information Systems Design and Intelligent Applications, 672, Proceedings of Fourth International Conference INDIA 2017, Springer Nature Singapore Pte Ltd. 2018, pp. 816-822, First Online 02 March 2018. http://doi.org/10.5281/zenodo.1410157
Seok-Zun Song, Madad Khan, Florentin Smarandache,Young Bae Jun: A Novel Extension of Neutrosophic Sets and Its Application in BCK/BCI-Algebras. In New Trends in Neutrosophic Theory and Applications. Volume II, pp. 308-326. http://doi.org/10.5281/zenodo.1410161
Mohamed Abdel-Basset, M. Gunasekaran, Mai Mohamed, Florentin Smarandache: A novel method for solving the fully neutrosophic linear programming problems. In Neural Computing and Applications. 11 p. http://doi.org/10.5281/zenodo.1410163
Abduallah Gamal, Mahmoud Ismail, Florentin Smarandache: A Novel Methodology Developing an Integrated ANP: A Neutrosophic Model for Supplier Selection. In Neutrosophic Operational Research, Volume III, pp. 63-85. http://doi.org/10.5281/zenodo.1410165
Yanhui Guo, Amira S. Ashour, Florentin Smarandache: A Novel Skin Lesion Detection Approach Using Neutrosophic Clustering and Adaptive Region Growing in Dermoscopy Images. In Symmetry 2018, 10. Published: 18 April 2018. 19 p. http://doi.org/10.5281/zenodo.1410197
Abduallah Gamal, Mahmoud Ismail, Florentin Smarandache: A Scientific Decision Framework for Supplier Selection under Neutrosophic Moora Environment. In Neutrosophic Operational Research, Volume III, pp. 33-47. http://doi.org/10.5281/zenodo.1410211
Muhammad Gulistan, Naveed Yaqoob, Zunaira Rashid, Florentin Smarandache, Hafiz Abdul Wahab: A Study on Neutrosophic Cubic Graphs with Real Life Applications in Industries. In Symmetry 2018, 10, 203. 23 p. http://doi.org/10.5281/zenodo.1410213
Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, V. Venkateswara Rao: Bipolar Complex Neutrosophic Graphs of Type 1. In New Trends in Neutrosophic Theory and Applications. Volume II, pp. 189-208. http://doi.org/10.5281/zenodo.1410217
Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Kifayat Ullah: Bipolar Neutrosophic Minimum Spanning Tree. In The Second International Conference of Smart Applications and Data Analysis for Smart Cities. February, 2008, 6 p. http://doi.org/10.5281/zenodo.1410219
Young Bae Jun, Florentin Smarandache, Mehmat Ali Ozturk: Commutative falling neutrosophic ideals in BCK-algebras. In Neutrosophic Sets and Systems, Vol. 20, 2018, pp. 44-53. http://doi.org/10.5281/zenodo.1410227
Surapati Pramanik, Partha Pratim Dey, Florentin Smarandache: Correlation Coefficient Measures of Interval Bipolar Neutrosophic Sets for Solving Multi-Attribute Decision Making Problems. In Neutrosophic Sets and Systems, Vol. 19, 2018, pp. 70-79. http://doi.org/10.5281/zenodo.1410231
Surapati Pramanik, Partha Pratim Dey, Florentin Smarandache, Jun Ye: Cross Entropy Measures of Bipolar and Interval Bipolar Neutrosophic Sets and Their Application for Multi-Attribute Decision-Making. In Axioms 2018, 7, 21, 25 p. http://doi.org/10.5281/zenodo.1410233
Muhammad Akram, Nabeela Ishfaq, Sidra Sayed, Florentin Smarandache: Decision-Making Approach Based on Neutrosophic Rough Information. In Algorithms 2018, 11, 59; 20 p. http://doi.org/10.5281/zenodo.1410237
Parimala Mani, Karthika Muthusamy, Saeid Jafari, Florentin Smarandache, Udhayakumar Ramalingam: Decision-Making via Neutrosophic Support Soft Topological Spaces. In Symmetry 2018, 10, 217, 10 p. http://doi.org/10.5281/zenodo.1410240
Muhammad Akram, Shumaiza, Florentin Smarandache: Decision-Making with Bipolar Neutrosophic TOPSIS and Bipolar Neutrosophic ELECTRE-I. in Axioms 2018, 7, 33, 17 p. http://doi.org/10.5281/zenodo.1410252
Florentin Smarandache, Maikel Leyva-Vázquez: Fundamentals of neutrosophic logic and sets and their role in artificial intelligence. In Neutrosophic Computing and Machine Learning, Vol. 1, 2018, pp. 3-8. http://doi.org/10.5281/zenodo.1410258
G. Muhiuddin, Hashem Bordbar, Florentin Smarandache, Young Bae Jun: Further results on (ε,ε)-neutrosophic subalgebras and ideals in BCK/BCI-algebras. In Neutrosophic Sets and Systems, Vol. 20, 2018, pp. 36-43. http://doi.org/10.5281/zenodo.1410260
Mehmet Şahin, Abdullah Kargın, Florentin Smarandache: Generalized Single Valued Triangular Neutrosophic Numbers and Aggregation Operators for Application to Multi-attribute Group Decision Making. In New Trends in Neutrosophic Theory and Applications. Volume II, pp. 51-84. http://doi.org/10.5281/zenodo.1410069
Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, V. Venkateswara Rao: Interval Complex Neutrosophic Graph of Type 1. In Neutrosophic Operational Research, Volume III, pp. 86-106. http://doi.org/10.5281/zenodo.1410082
Mumtaz Ali, Luu Quoc Dat, Le Hoang Son, Florentin Smarandache: Interval Complex Neutrosophic Set: Formulation and Applications in Decision-Making. In Int. J. Fuzzy Syst. (2018) 20(3):986–999. http://doi.org/10.5281/zenodo.1410086
Young Bae Jun, Seon Jeong Kim, Florentin Smarandache: Interval Neutrosophic Sets with Applications in BCK/BCI-Algebra. In Axioms 2018, 7, 23, 13 p. http://doi.org/10.5281/zenodo.1410090
Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Faruk Karaaslan: Interval Valued Neutrosophic Soft Graphs. In New Trends in Neutrosophic Theory and Applications. Volume II, pp.214-251. http://doi.org/10.5281/zenodo.1410271
Temitope Gbolahan Jaiyeola, Florentin Smarandache. (2018): Inverse Properties in Neutrosophic Triplet Loop and Their Application to Cryptography. In Algorithms 2018, 11, 32, 20p. http://doi.org/10.5281/zenodo.1410273
Xiaohong Zhang, Xiaoying Wu, Florentin Smarandache, Minghao Hu. (2018): Left (Right)-Quasi Neutrosophic Triplet Loops (Groups) and Generalized BE-Algebras. In Symmetry 2018, 10, 241, 18 p. http://doi.org/10.5281/zenodo.1410275
Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Vakkas Uluçay. (2018): Minimum Spanning Tree in Trapezoidal Fuzzy Neutrosophic Environment. In Springer International Publishing AG, 2018, pp. 25–35, 2018. http://doi.org/10.5281/zenodo.1410277
Maikel Leyva-Vázquez, Rebeca Escobar-Jara, Florentin Smarandache. (2018). Mental models and neutrosophic cognitive maps. In Neutrosophic Computing and Machine Learning, Vol. 1, 2018 p. 22-35. http://doi.org/10.5281/zenodo.1410283
Surapati Pramanik, Rumi Roy, Tapan Kumar Roy, Florentin Smarandache. (2018). Multi-Attribute Decision Making Based on Several Trigonometric Hamming Similarity Measures under Interval Rough Neutrosophic Environment. In Neutrosophic Sets and Systems, Vol. 19, 2018, http://doi.org/10.5281/zenodo.1410285
Muhammad Akram, Sundas Shahzadi, Florentin Smarandache. (2018). Multi-Attribute Decision-Making Method Based on Neutrosophic Soft Rough Information. In Axioms 2018, 7, 19, 24 p. http://doi.org/10.5281/zenodo.1410289
Surapati Pramanik, Rumi Roy, Tapan Kumar Roy, Florentin Smarandache. (2018). Multi Attribute Decision Making Strategy on Projection and Bidirectional Projection Measures of Interval Rough Neutrosophic Sets. In Neutrosophic Sets and Systems, Vol. 19, 2018, pp. 101-108 http://doi.org/10.5281/zenodo.1410298
Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Florentin Smarandache, Tapan Kumar Roy. (2018). NC-Cross Entropy Based MADM Strategy in Neutrosophic Cubic Set Environment. In Mathematics 2018, 6, 67, http://doi.org/10.5281/zenodo.1410306
Mohamed Abdel-Basset, Mai Mohamed, Florentin Smarandache, Victor Chang. (2018). Neutrosophic Association Rule Mining Algorithm for Big Data Analysis. In Symmetry 2018, 10, 106, 19 p. http://doi.org/10.5281/zenodo.1410329
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Deepika Koundal, Savita Gupta, Sukhwinder Singh: Automated delineation of thyroid nodules in ultrasound images usingspatial neutrosophic clustering and level set. In Applied Soft Computing, Volume 40, 2016, 12 pages.
Changxing Fan, Jun Ye, Keli Hu, En Fan: Bonferroni Mean Operators of Linguistic Neutrosophic Numbers and Their Multiple Attribute Group Decision-Making Methods. In Information, Volume 8, 2017, 11 pages.
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Jun Ye: Correlation Coefficient between Dynamic Single Valued Neutrosophic Multisets and Its Multiple Attribute Decision-Making Method. In Information, Volume 8, 2017, 9 pages.
Lilian Shi, Jun Ye: Cosine Measures of Linguistic Neutrosophic Numbers and Their Application in Multiple Attribute Group Decision-Making. In Information, Volume 8, 2017, 10 pages.
Zhikang Lu, Jun Ye: Cosine Measures of Neutrosophic Cubic Sets for Multiple Attribute Decision-Making. In Symmetry, Volume 9, 2017, 10 pages.
A. Victor Devadoss, M. Rekha: Domestic Violence Against Women Using Induced Linked Bidirectional Associative Memories (ILBAM). In International Journal of Mathematics And its Applications, Volume 5, Issue, 2017, 8 pages.
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Zhikang Lu, Jun Ye: Exponential Operations and an Aggregation Method for Single-Valued Neutrosophic Numbers in Decision Making. In Information, Volume 8, 2017, 11 pages.
Jun Ye, Jiqian Chen, Rui Yong, Shigui Du: Expression and Analysis of Joint Roughness Coefficient Using Neutrosophic Number Functions. In Information, Volume 8, 2017, 13 pages.
Jiqian Chen, Jun Ye, Shigui Du, Rui Yong: Expressions of Rock Joint Roughness Coefficient Using Neutrosophic Interval Statistical Numbers. In Symmetry, Volume 9, 2017, 7 pages.
Hongjun Guan, Aiwu Zhao, Shuang Guan: Forecasting model based on neutrosophic logical relationship and Jaccard similarity. In Symmetry, 16 pages.
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Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, & Luige Vladareanu. (2016). Applying Dijkstra Algorithm for Solving Neutrosophic Shortest Path Problem. Proceedings of the 2016 International Conference on Advanced Mechatronic Systems, Melbourne, Australia, November 30 - December 3, 2016, pp. 412-416. http://doi.org/10.5281/zenodo.888833
R. Dhavaseelan, S. Jafari, & F. Smarandache. (2017). Compact Open Topology and Evaluation Map via Neutrosophic Sets. Neutrosophic Sets and Systems, Vol. 16, 2017, 35-38. http://doi.org/10.5281/zenodo.888839
Said Broumi, Assia Bakali, Mohamed Talea, & Florentin Smarandache. (2017). Complex Neutrosophic Graphs of Type 1. 2017 IEEE International Conference on INnovations in Intelligent SysTems and Applications (INISTA), Gdynia Maritime University, Gdynia, Poland, 3-5 July 2017, 432-437, http://doi.org/10.5281/zenodo.888841
Said Broumi, Assia Bakali, Florentin Smarandache, Mohamed Talea, Mumtaz Ali, & Ganeshsree Selvachandran. (2017). Complex Neutrosophic Soft Set. FUZZ-IEEE Conference on Fuzzy Systems, Naples, Italy, 9-12 July 2017, 6 pages. http://doi.org/10.5281/zenodo.888849
Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, & Luige Vladareanu. (2016). Computation of Shortest Path Problem in a Network with SV-Trapezoidal Neutrosophic Numbers. Proceedings of the 2016 International Conference on Advanced Mechatronic Systems, Melbourne, Australia, November 30 - December 3, 2016. 6 pages. http://doi.org/10.5281/zenodo.888855
Said Broumi, Assia Bakali, Mohamed Talea, & Florentin Smarandache. (2017). Computation of Shortest Path Problem in a Network with SV-Triangular Neutrosophic Numbers, 2017 IEEE International Conference on INnovations in Intelligent SysTems and Applications (INISTA), Gdynia Maritime University, Gdynia, Poland, 3-5 July 2017, pp. 426-431. http://doi.org/10.5281/zenodo.888858
Mai Mohamed, Mohamed Abdel-Baset, Yongquan Zhou, & Florentin Smarandache. (2017). A Critical Path Problem Using Triangular Neutrosophic Number, 2017 IEEE International Conference on INnovations in Intelligent SysTems and Applications (INISTA), Gdynia Maritime University, Gdynia, Poland, 3-5 July 2017, pp. 403-407. http://doi.org/10.5281/zenodo.888695
Selcuk Topal, & Florentin Smarandache. (2017). A Lattice Theoretic Look: A Negated Approach to Adjectival (Intersective, Neutrosophic and Private) Phrases, 2017 IEEE International Conference on INnovations in Intelligent SysTems and Applications (INISTA), Gdynia Maritime University, Gdynia, Poland, 3-5 July 2017, pp. 408-412. http://doi.org/10.5281/zenodo.888701
Yanhui Guo, Yaman Akbulut, Abdulkadir Sengur, Rong Xia, & Florentin Smarandache. (2017). An Efficient Image Segmentation Algorithm Using Neutrosophic Graph Cut, Symmetry (Basel, Switzerland), 9, 185, pp. 1-25, 25 p. http://doi.org/10.5281/zenodo.888825
Application of intuitionistic Neutrosophic graph structures in decision-making, by Muhammad Akram, Muzzamal Sitara, Annals of Fuzzy Mathematics and Informatics, Volume 14, No. 1, (July 2017), pp. 1 – 27.
Neutrosophic quadruple algebraic hyperstructures, by A. A. A. Agboola, B. Davvaz, F. Smarandache, Annals of Fuzzy Mathematics and Informatics, Volume 14, No. 1, (July 2017), pp. 29 – 42.
The category of Neutrosophic crisp sets, by K. Hur, P. K. Lim, J. G. Lee, J. Kim, Annals of Fuzzy Mathematics and Informatics, Volume 14, No. 1, (July 2017), pp. 43 – 54.
Special types of bipolar single valued Neutrosophic graphs, by Ali Hassan, Muhammad Aslam Malik, Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Annals of Fuzzy Mathematics and Informatics, Volume 14, No. 1, (July 2017), pp. 55 – 73.
Neutrosophic subalgebras of several types in BCK=BCI-algebras, by Young Bae Jun, Annals of Fuzzy Mathematics and Informatics, Volume 14, No. 1, (July 2017), pp. 75 – 86.
Neutrosophic subalgebras of BCK-BCI-algebras based on Neutrosophic points, by A. Borumand Saeid, Young Bae Jun, Annals of Fuzzy Mathematics and Informatics, Volume 14, No. 1, (July 2017), pp. 87 – 97.
Interval-valued Neutrosophic competition graphs, by Muhammad Akram and Maryam Nasir, Annals of Fuzzy Mathematics and Informatics, Volume 14, No. 1, (July 2017), pp. 99 – 120.
A Decision-Making Method by Combining TOPSIS and Grey Relation Method Under Fuzzy Soft Sets, by Selim Eraslan, Naim Cagman. Sigma J. Eng. & Nat. Sci., 8 (1), 2017, pp. 53-64.
Neutrosophic Linear Programming Problems, by Abdel-Nasser Hussian, Mai Mohamed, Mohamed Abdel-Baset, Florentin Smarandache, in NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I, Brussels (Belgium): Pons, 2017, pp. 15 – 27.
Neutrosophic Linear Fractional Programming Problems, by Abdel-Nasser Hussian, Mai Mohamed, Mohamed Abdel-Baset, Yongquan Zhou, Florentin Smarandache, in NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I, Brussels (Belgium): Pons, 2017, pp. 29 – 47.
Neutrosophic Integer Programming Problems, by Mohamed Abdel-Baset, Mai Mohamed, Abdel-Nasser Hessian, Florentin Smarandache, in NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I, Brussels (Belgium): Pons, 2017, pp. 49 – 61.
Neutrosophic Goal Programming, by Ibrahim M. Hezam, Mohamed Abdel-Baset, Florentin Smarandache, in NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I, Brussels (Belgium): Pons, 2017, pp. 63 – 76.
Taylor Series Approximation to Solve Neutrosophic Multiobjective Programming Problem, by Ibrahim M. Hezam, Mohamed Abdel-Baset, Florentin Smarandache, in NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I, Brussels (Belgium): Pons, 2017, pp. 77 – 90.
Multi-objective Cylindrical Skin Plate Design Optimization based on Neutrosophic Optimization Technique, by Mridula Sarkar, Tapan Kumar Roy, in NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I, Brussels (Belgium): Pons, 2017, pp. 91 – 104.
Neutrosophic MULTIMOORA: A Solution for the Standard Error in Information Sampling, by Willem K. M. Brauers, Alvydas Balezentis, Tomas Balezentis, in NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I, Brussels (Belgium): Pons, 2017, pp. 105 – 130.
Multi-objective Geometric Programming Problem Based on Neutrosophic Geometric Programming Technique, Pintu Das, Tapan Kumar Roy, in NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I, Brussels (Belgium): Pons, 2017, pp. 131 – 142.
Using Neutrosophic Sets to Obtain PERT Three-Times Estimates in Project Management, Mai Mohamed, Mohamed Abdel-Basset, Abdel-Nasser Hussien, Florentin Smarandache, in NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I, Brussels (Belgium): Pons, 2017, pp. 143 – 153.
A Critical Path Problem Using Triangular Neutrosophic Number, Mai Mohamed, Mohamed Abdel-Baset, Florentin Smarandache, Yongquan Zhou, in NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I, Brussels (Belgium): Pons, 2017, pp. 155 – 165.
A Critical Path Problem in Neutrosophic Environment, Mai Mohamed, Mohamed Abdel-Baset, Florentin Smarandache, Yongquan Zhou, in NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I, Brussels (Belgium): Pons, 2017, pp. 167 – 174.
Integrated Framework of Optimization Technique and Information Theory Measures for Modeling Neutrosophic Variables, by Mona Gamal Gafar, Ibrahim El-Henawy, in NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I, Brussels (Belgium): Pons, 2017, pp. 175 – 188.
New Neutrosophic Sets via Neutrosophic Topological Spaces, Wadei Al-Omeri, Florentin Smarandache, in NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I, Brussels (Belgium): Pons, 2017, pp. 189 – 209.
Aggregation operators of Neutrosophic linguistic numbers for multiple attribute group decision making, by Jun Ye. Published in SpringerPlus (2016) 5:1691, 11 p.
A hybrid Fuzzy C-Means and Neutrosophic for jaw lesions segmentation, by Mutasem K. Alsmadi. Published in Ain Shams Eng J (2016), 10 p. http://dx.doi.org/10.1016/j.asej.2016.03.016.
A Method of Disease Detection and Segmentation of Retinal Blood Vessels using Fuzzy C-Means and Neutrosophic Approach, by Ishmeet Kaur, Lalit Mann Singh. Published in Imperial Journal of Interdisciplinary Research (IJIR), Vol. 2, Issue 6, 2016, pp. 551-557.
A Model for Medical Diagnosis Via Fuzzy Neutrosophic Soft Sets, by Yildiray Celik. Published in Asian Journal of Mathematics and Computer Research, 10(1), 2016, pp. 60-68.
A Multi-Criteria Decision-Making Method Using Power Aggregation Operators for Single-valued Neutrosophic Sets, by Lihua Yang, Baolin Li. Published in International Journal of Database and Theory and Application, Vol. 9, No. 2 (2016), pp. 23-32. http://dx.doi.org/10.14257/ijdta.2016.9.2.04.
A Multi-criteria Neutrosophic group decision making metod based TOPSIS for supplier selection, by Ridvan Sahin, Muhammed Yigider. 11 p.
A multi-valued Neutrosophic qualitative flexible approach based on likelihood for multi-criteria decision-making problems, by Juan-juan Peng, Jian-qiang Wang, Wu-E Yang. Published in International Journal of Systems Science, 11 p.
An Adaptive Color Similarity Function Suitable for Image Segmentation and its Numerical Evaluation, by Rodolfo Alvarado-Cervantes, Edgardo M. Felipe-Riveron, Vladislav Khartchenko, Oleksiy Pogrebnyak. Wiley Periodicals, 2016, 17 p.
An Algorithm for Medical Magnetic Resonance Image Non-Local Means Denoising, by Stefan Korolija, Eva Tuba, Milan Tuba. Published in International Journal of Signal Processing, Volume 1, 2016, pp. 138-145.
Analysis of side effects of chemotheraphy treatment for cancer patients using Neutrosophic cognitive graphs (NCG), by Dr. Ashit Kumar Dutta. Published in International Journal of Applied Engineering Research, Volume 11, Number 1 (2016), pp. 401-403.
An Automatic Segmentation & Detection of Blood Vessels and Optic Disc in Retinal Images, by Anchal Sharma, Shaveta Rani. Presented at the International Conference on Communication and Signal Processing, April 6-8, 2016, India, 5 p.
An Efficient Image Denoising Approach Based on Dictionary Learning, by Mohammadreza Karimipoor, Vahid Abolghasemi, Saideh Ferdowsi. Published in International Journal of Mathematics and Computational Science, Vol. 2, No. 1, 2016, 7 p.
An Efficient Soft Set-Based Approach for Conflict Analysis, by Edi Sutoyo, Mungad Mungad, Suraya Hamid, Tutut Herawan. PLoS ONE 11(2), 31 p. DOI:10.1371/journal.pone.0148837.
An Ensemble Data Preprocessing Approach for Intrusion Detection System Using Variant Firefly and Bk-NN Techniques, by Mrs. D. Shona, Dr. M. Senthilkumar. Published in International Journal of Applied Engineering Research, Volume 11, Number 6 (2016), pp. 4161-4166.
An ensemble design of intrusion detection system for handling uncertainty using Neutrosophic Logic Classifier, by B. Kavitha, Dr. S. Karthikeyan, P. Sheeba Maybell. Published in Knowledge-Based Systems, 28 (2012), pp. 88–96. http://www.sciencedirect.com/science/article/pii/S0950705111002681.
A Neutrosophic Multicriteria Decision Making Method, by Athar Kharaly, 19 p.
A Neutrosophic Recommender System for Medical Diagnosis Based on Algebraic Neutrosophic Measures, by Mumtaz Ali, Nguyen Van Minh, Le Hoang Son, 75 p.
A New Approach for Optimization of Real Life Transportation Problem in Neutrosophic Environment, by A.Thamaraiselvi, R.Santhi, 13 p.
A new expert system for learning management systems evaluation based on Neutrosophic sets, by Nouran M. Radwan, M. Badr Senousy,| Alaa El Din M. Riad. Published in Expert Systems 2016, 11 p.
A new modified Neutrosophic set segmentation approach, by Eser Sert. Published in Computers and Electrical Engineering (2017), 17 p. https://doi.org/10.1016/j.compeleceng.2017.01.017.
A New Similarity Measure on npn-Soft Set Theory and Its Application, by Serif Ozlu, Irfan Deli. Presented at the International Conference on Natural Science and Engineering (ICNASE’16) March 19-20, 2016, Kilis, 6 p.
A New Weighted Average Operator Based on Simplified Neutrosophic and Its Applica