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...As an alternative to the existing logics we propose the Neutrosophic Logic to represent a mathematical model of uncertainty, vagueness, ambiguity, imprecision, undefined, unknown, incompleteness, inconsistency, redundancy, contradiction. It is a non-classical...

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... Proceedings of the First International Conference on Neutrosophy,Neutrosophic Logic, Neutrosophic Set,Neutrosophic Probability and Statistics ... ...PROCEEDINGS OF THE FIRST INTERNATIONAL CONFERENCE ON NEUTROSOPHY, NEUTROSOPHIC LOGIC, NEUTROSOPHIC SET,NEUTROSOPHIC PROBABILITY AND STATISTICS ... ...es of America First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability and Statistics December 1... ...ilosophy:http://www.gallup.unm.edu/~smarandache/Neutrosophy.PDF• 2. Neutrosophic Logic - a unifying field in logics:http://www.gallup.unm.edu/~smar... ...t.PDF PREFACE (An Introduction to Neutrosophy, Neutrosophic Logic, Neutrosophic Set, and Neutrosophic Probability and... ...ndefined, unknown,incompleteness, inconsistency, redundancy, contradiction. It is a non-classical logic.Eksioglu (1999) explains some of them: “Imprec...

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...In this book, we consider various many-valued logics: standard, linear, hyperbolic, parabolic, non-Archimedean, p -adic, interval, neutrosophic, etc. We survey also results which show the tree different proof-theoretic frameworks for many-valued logics, e.g. frameworks o...

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...1.1 Neutrality concept in logic Every point of view A tends to be neutralized, diminished, balanced by Non-A. At the same time, in between A and Non-A there are infinitely many points of view Neut-A. Let’s note by A an idea, or proposition, theory, e...

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...1 Introduction. . . . . . . . . . . . . . . 9 1.1 Neutrality concept in logic . . . . . . . . . . . . . . . . . . . . . . 9 1.2 Neutrality and non-Archimedean logical multiple-validity . . . . 10 1.3 Neutrality and neutrosophic logic . . . . . . . . . . . . . . . . . . 13 2 First-order logica...

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...ANDREW SCHUMANN & FLORENTIN SMARANDACHE Neutrality and Many-Valued Logics 2007 Neutrality and Many-Valued ... ... 2007 Neutrality and Many-Valued Logics Andrew Schumann, Ph D Associate Professor ... ...mann, Ph D Associate Professor Head of the Section of Logic ofDepartment of Philosophy and Science Methodology Belarusia... ...r Reviewers: 1 – Prof. Kazimierz Trz sicki, Head of the Department of Logic, Informatics, and Science Philosophy, University of Bialystok, u... ... mathematical modelof uncertainty on non-Archimedean structures. It is a non-classical logic inwhich each proposition is estimated to have the perce... ...positional logicThe concept of hypersequent calculi was introduced for non-classical logics byAvron in [8]. Hypersequents consist of multiple sequ... ...6] Avron, A., Using hypersequents in proof systems for non-classical logics, Annals of mathematics and artificia... ...elli, W. A., On sequents and tableaux for many-valued logics, Journal of Non-Classical Logic 8(1):59–76, 1991.[29] Chang, C. C., Keisler, J., Contin... ...n der Mathematik. Springer, 1939.[73] H¨ohle, U., Klement, E. P. (edits.), Non-Classical Logics and their Applica- tions to Fuzzy Subsets, Kluwer, D...

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... FLORENTIN SMARANDACHEA UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUT... ...th 1999, 2000, 2003 FLORENTIN SMARANDACHEA UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUT... ... 0. Introduction: 9 1. Neutrosophy - a new branch of philosophy: 13 2. Neutrosophic Logic - a unifying field in logics: 87 3. Neutrosophic Set - a ... ...hics: 120 2 Preface to Neutrosophy and Neutrosophic Logic by Charles T. Le1 Introduction.It was a sur... ..., especially because thetreated subject was of philosophy - revealing paradoxes - and logics.He had generalized the fuzzy logic, and introduced two ne... ... undefined, unknown,incompleteness, inconsistency, redundancy, contradiction. It is a non-classical logic.Eksioglu (1999) explains some of them: “Impr... ...sistent, one has (>, 2) d NML Õ:.m) From a traditional standpoint: Classical or Non-classical.n) Upon inclusion or exclusion of empty domains (... ...bjects, but in a differentway (either by interpreting the connectives and quantifiers non-classically, or rejecting someclassical laws): intuitionisti...

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...In this book, we consider various many-valued logics: standard, linear, hyperbolic, parabolic, non-Archimedean, p-adic, interval, neutrosophic, etc. We survey also results which show the tree different proof-theoretic frameworks for many-valued logics, e.g. frameworks of...

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...ANDREW SCHUMANN & FLORENTIN SMARANDACHE Neutrality and Many-Valued Logics 2007 Neutrality and Many-Valued ... ... 2007 Neutrality and Many-Valued Logics Andrew Schumann, Ph D Associate Professor ... ...mann, Ph D Associate Professor Head of the Section of Logic ofDepartment of Philosophy and Science Methodology Belarusia... ...Peer Reviewers: 1 – Prof. Kazimierz Trz sicki, Head of the Department of Logic, Informatics, and Science Philosophy, University of Bialystok, ul. ... ... mathematical modelof uncertainty on non-Archimedean structures. It is a non-classical logic inwhich each proposition is estimated to have the perce... ...positional logicThe concept of hypersequent calculi was introduced for non-classical logics byAvron in [8]. Hypersequents consist of multiple sequ... ...6] Avron, A., Using hypersequents in proof systems for non-classical logics, Annals of mathematics and artificia... ...elli, W. A., On sequents and tableaux for many-valued logics, Journal of Non-Classical Logic 8(1):59–76, 1991.[29] Chang, C. C., Keisler, J., Contin... ...n der Mathematik. Springer, 1939.[73] H¨ohle, U., Klement, E. P. (edits.), Non-Classical Logics and their Applica- tions to Fuzzy Subsets, Kluwer, D...

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...A Fortiori Logic: Innovations, History and Assessments is a wide-ranging and in-depth study of a fortiori reasoning, comprising a great many new theoretical insights into such argument, a history of its use and discussion from antiquity...

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.... A fortiori in the Talmud 115 8. In the Talmud, continued 148 9. Post-Talmudic rabbis 187 10. A fortiori in the Christian Bible 215 11. Islamic ‘logic’ 236 12. A fortiori in China and India 277 PART III – MODERN AND CONTEMPORARY AUTHORS 286 13. Moses Mielziner 287 14. Adolf Schwarz 295 15. Saul Lieberman 300 16. Louis Jacobs 307 17. Heinrich Guggenheimer 326 1...

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...i-sion@thelogician.netLibrary Cataloguing Information:Sion, Avi.A Fortiori Logic.Innovations, History and Assessments.No index, no bibliography. ... ...nslation and brackets mine.)Other works by Avi Sion (photo) include:Future Logic: Categorical and Conditional Deduction and Induction of the Natural, ... ...xtensional andLogical Modalities. Revised ed. Geneva: Author, 1996.1Judaic Logic: A Formal Analysis of Biblical, Talmudic and Rabbinic Logic. Geneva: ... ...gy: Basing Knowledge on Appearance. Expanded ed. Geneva: Author, 2005.3The Logic of Causation. Rev. & exp. ed. Geneva: Author, 2010.4Volition and Alli... ...sal Concepts. Geneva: Author, 2004.Ruminations: Sundry Notes and Essays on Logic. Expanded ed. Geneva: Author, 2005.5Meditations: A Spiritual Logbook.... ...ntional inference rules involved in a deduction procedure of classical and non-classical logics.It is connected with parallelism and non-recursiveness...

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...In this work the authors apply concepts of Neutrosophic Logic to the General Theory of Relativity to obtain a generalisation of Einstein’s four dimensional pseudo-Riemannian differentiable manifold in terms of Smarandache Geometry (Smarandache manifolds), by which new classes of r...

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...ra. It considers that every idea tends to be neutralized, balanced by ideas; as a state of equilibrium. Neutrosophy is the basis of neutrosophic logic, neutrosophic set which generalizes the fuzzy set, and of neutrosphic probability and neutrosophic statistics, which generalize the classical and imprecise probability and statistics respectively. Neutrosophic Logic ...

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...M STATEMENT . THE BASICS OF NEUTROSOPHY 1.1 Problem statement 5 1.2 The basics of neutrosophy 8 1.3 Neutrosophic subjects 13 1.4 Neutrosophic logic. The origin of neutrosophy 14 1.5 Definitions of neutrosophic 16 Chapter 2 TRAJECTORIES AND PARTICLES 2.1 Einstein’s basic space-time 18 2.2 Standard set of trajectories and particles. A way to expand the set 22 ...

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... 81.3 Neutrosophic subjects 131.4 Neutrosophic logic. The origin of neutrosophy 141.5 Definitions of neutroso... ...ace of the Editor In this work the authors apply concepts of Neutrosophic Logic to theGeneral Theory of Relativity to obtain a generalisation of Eins... ...quantum teleportation are developed. Fundamental features of Neutrosophic Logic are its denial of the Lawof Excluded Middle, and open (or estimated) ... ... estimated) levels of truth, falsity andindeterminancy. Both Neutrosophic Logic and Smarandache Geometry were inventedsome years ago by one of the au... ...80’s) from my effort to characterize a paradox, which did notwork in fuzzy logic or in intuitionistic fuzzy logic because of the restrictionthat the s... ...origin of neutrosophyAs an alternative to the existing logics we propose a non-classical one,which represents a mathematical model of uncertainty, v...

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...This book was intended to discuss some paradoxes in Quantum Mechanics from the viewpoint of Multi-Valued-logic pioneered by Lukasiewicz, and a recent concept Neutrosophic Logic. Essentially, this new concept offers new insights on the idea of ‘identity’, which too often it has been accepted as given....

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...2 Lukasiewicz Multi-Valued-logic: History and Introduction to Multi- Valued Algebra 2.1 Introduction to trivalent logic and plurivalent logic We all have heard of typical binary logic, Yes or No. Or in a famous phrase by Shakespeare: “To be or no...

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...Contents Foreword 6 1 Introduction: Paradoxes, Lukasiewicz, Multi-Valued logic 7 2 Lukasiewicz Multi-Valued Logic: History and Introduction to Multi-Valued Algebra 10 2.1. Introduction to trivalent logic and plurivalent logic 10 2.2. History of Lukasiewicz and Multi-Valued Logic 12 2.3. Intro...

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... Florentin Smarandache Vic ChristiantoMulti-Valued Logic, Neutrosophy, and Schrödinger Equation Hexis ... ...d to discuss some paradoxes in Quantum Mechanicsfrom the viewpoint of Multi-Valued-logic pioneered by Lukasiewicz, and arecent concept Neutrosophic Lo... ...n accepted asgiven.Neutrosophy itself was developed in attempt to generalize Fuzzy-Logicintroduced by L. Zadeh. While some aspects of theoretical foun... ...cause the solution of thoseparadoxes requires re-examination of the foundations of logic itself, in par-ticular on the notion of identity and multi-va... ...orgemail: vxianto@yahoo.com 4 Multi-Valued-logic, Neutrosophy, and Schrödinger Equation Florentin Smar... ... Neutrosophic Logic [12][22] As an alternative to the existing logics we propose a non-classical one,which represents a mathematical model of uncertai...

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...ets and set-theoretic operators are given and various properties of interval neutrosophic set are proved. Chapter 2 defines the interval neutrosophic logic based on interval neutrosophic sets including the syntax and semantics of first order interval neutrosophic propositional logic and first order interval neutrosophic predicate logic. The interval neutrosophic logic can ...

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... . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.7 Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2 Interval Neutrosophic Logic 21 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 21 2.2 Interval Neutrosophic Propositional Calculus . . . . . . . . . . . . . . . 23 2.2.1 Syntax of Interval Neutrosophic Propositional Calculu...

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...hekhar Sunderraman Interval Neutrosophic Sets and Logic: Theory ... ... 2005 Interval Neutrosophic Sets and Logic:Theory and Applications in Com... ... . . . . . . . . . . . . . . . . 162 Interval Neutrosophic Logic ... ... . . . . . . . . 30 2.4 An Application of Interval Neutrosophic Logic . . .... ...e given and various properties of interval neutrosophic setare proved. Chapter 2 defines the interval neutrosophic logic based on interval neutrosophic... ...e logic. We call them classical (standard) neutrosophic logic. In the future, we also will discussand explore the non-classical (non-standard) neutros...

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...nti-A" and that which is not A, "Non-A", and that which is neither "A" nor "Anti-A", denoted by "Neut-A". Neutrosophy is the basis of neutrosophic logic, neutrosophic probability, neutrosophic set, and neutrosophic statistics. Neutrosophic Logic is a general framework for unification of many existing logics, such as fuzzy logic (especially intuitionistic fuzzy logic)...

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...ti-A", denoted by "Neut-A". Neutrosophy is the basis of neutrosophic logic, neutrosophicprobability, neutrosophic set, and neutrosophi... ...isHowe from England. Neutrosophy is an extension of the Dialectics.} Neutrosophic Logic is a general framework for unification of manyexisting logi... ...c Logic is a general framework for unification of manyexisting logics, such as fuzzy logic (especially intuitionistic fuzzy logic),paraconsistent logi... ...y logic (especially intuitionistic fuzzy logic),paraconsistent logic, intuitionistic logic, etc. The main idea of NL is tocharacterize each logical st... ...oposals 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 th... ...: A. A. Salama, I. M. Hanafy & Mohamed Isa Enhancing Images using Non-classical Sets. Researcher: Radwa Elsayed Fahmy. ...

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...This research work will give a new direction for applications of fuzzy set theory particularly in algebraic logics, non-classical logics, fuzzy finite state machines, fuzzy automata, fuzzy languages, cognitive modeling, multiagent decision analysis and mathematical morphology. Introducing (∈,∈ ∨q_k)-fuzzy ideals, (∈_γ,∈_γ ∨q_δ)-fu...

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... recent investigationsof l-semigroups are closely connected with algebraic logic and non-classicallogics. An AG-groupoid is a mid structure between a ... ...vestigationsof l-semigroups are closely connected with algebraic logic and non-classicallogics. An AG-groupoid is a mid structure between a groupoid a... ...or all elements a and b of the AG-groupoid. Now our aim is to discoversome logical investigations for regular and intra-regular AG-groupoids us-ing th... ...ew direction for applications of fuzzyset theory particularly in algebraic logic, non-classical logics, fuzzy coding,fuzzy nite state mechanics and f... ...ction for applications of fuzzyset theory particularly in algebraic logic, non-classical logics, fuzzy coding,fuzzy nite state mechanics and fuzzy la... ...or all elements a and b of the AG-groupoid. Now our aim is to discoversome logical investigations for regular and intra-regular AG-groupoids us-ing th... ...ew direction for applications of fuzzyset theory particularly in algebraic logic, non-classical logics, fuzzy coding,fuzzy nite state mechanics and f... ...ction for applications of fuzzyset theory particularly in algebraic logic, non-classical logics, fuzzy coding,fuzzy nite state mechanics and fuzzy la...

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................363 47. Discounting Method for Multi-Criteria Decision Making (_-D MCDM), by Florentin Smarandache....................369 NEUTROSOPHIC LOGIC AND SET....................395 48. Neutrosophic Logic - A Generalization of the Intuitionistic Fuzzy Logic, by Florentin Smarandache, published as “Definition of Neutrosophic Logic – A Generalization of the Intuitionis...

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...ration, game theory,geometry, graph theory, information fusion, neutrosophic logic and set, non-Euclidean geometry,number theory, paradoxes, philosoph... ...uch as neuterization and antonymization). Applications of neutrosophic logic and set to the semantic web services, information fusion, imag... ...M). New fusion rules and conditioning fusion rules. Neutrosophic Logic as a Theory of Everything in Logics. N-norm and N-conorm.4 Neut... ...articles and up to multi-entangles objects, about multispace and multivalued logics, aboutpossible connection between unmatter with dark matter (what ... ... 9 NEUTROSOPHIC LOGIC AND SET………………………………………395 48. Neutrosophic Logic - A Generaliz...

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................363 47. Discounting Method for Multi-Criteria Decision Making (_-D MCDM), by Florentin Smarandache....................369 NEUTROSOPHIC LOGIC AND SET....................395 48. Neutrosophic Logic - A Generalization of the Intuitionistic Fuzzy Logic, by Florentin Smarandache, published as “Definition of Neutrosophic Logic – A Generalization of the Intuitionis...

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...ration, game theory,geometry, graph theory, information fusion, neutrosophic logic and set, non-Euclidean geometry,number theory, paradoxes, philosoph... ...uch as neuterization and antonymization). Applications of neutrosophic logic and set to the semantic web services, information fusion, imag... ...M). New fusion rules and conditioning fusion rules. Neutrosophic Logic as a Theory of Everything in Logics. N-norm and N-conorm.4 Neut... ...articles and up to multi-entangles objects, about multispace and multivalued logics, aboutpossible connection between unmatter with dark matter (what ... ... 9 NEUTROSOPHIC LOGIC AND SET………………………………………395 48. Neutrosophic Logic - A Generaliz...

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... 148 7.5 Conclusion . . . . . 151 7.6 References . . . . . 152 Appendix: Derivation of the GPT for the 3D free DSm model . . . 153 8 Probabilized logics related to DSmT and Bayes inference 155 8.1 Introduction . . . . . 155 8.2 Belief Theory Models . . . . . 157 8.2.1 Preliminary: about probability . . . 157 8.2.2 Dempster Shafer Theory . . . . 161 8.2.3 Transfer...

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... . . . . . . . . 1538 Probabilized logics related to DSmT and ... ... . . . . . . . . . . 166 8.4 Probability over logical propositions ... ... . . . . . . . . . . . . . . 168 8.5 Logical interpretation of DSmT: an example ... ... . . . . . . . . . . . 169 8.6 Multi-modal logic and information fusion ... ... . . . . . . . . . 171 8.6.1 Modal logic . . . . . . . . . . . . ... ... logicNeutrosophic logic (NL) is a method for neutrosophic reasoning. This non-classical logic is a multiple-valued logic which generalizes, amon...

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...“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc....

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...n created for publications set and respectively intuitionistic fuzzy logic). In neutrosophic logic aon advanced studies in neutrosophy, neutros... ...home page of the journal is accessed on Neutrosophic Set and Neutrosophic Logic are generalizations of the http://fs.gallup.unm.edu/NSS.fuzzy... ... the http://fs.gallup.unm.edu/NSS.fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy ... ...idal neutrosophic numbers.[21] F. Smarandache. (1998). A Unifying Field in Logics. Neu- Journal of Ambient Intelligence and Humanized ... ...telligence and Humanized trosophy: Neutrosophic probability, set and logic. Re- Computing, hoboth: American Research Press. ... ... relationships among neutrosophic regular filter, fuzzy kind of non-classical logic algebra in close connection filters and anti-gr... ... 0, 1− +[. That is, TA(x): X→ ] 0, 1− [, IA(x): X→ ] 0, 28, and 32]). For non-classical logic algebra systems, the 1+[, and FA(x): X→ ] 0, 1− ...

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...“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc....

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...neutrosophic set, probability and imprecise probability. neutrosophic logic, neutrosophic probability, neutrosophic statis- Neutrosophic Sta... ...//fs.gallup.unm.edu/neutrosophy.htm. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (... ...is accessed on tionistic fuzzy set and respectively intuitionistic fuzzy logic). In http://fs.gallup.unm.edu/NSS. neutrosophic logic a proposi... ...ed for Neutrosophic data prob- Keywords: Neutrosophic Sets, Neutrosophic Logic, Bezier Curve`1 Introduction entire... ...gy, manybranches of science work together and especially the topics suchas logic, data mining, quantum physics, machine learning come 2 P... ...e to have systems that inconsistency, redundancy, contradiction. It is a non-classical assist in medical diagnosis with such an accuracy comparab...

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...orites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic). In neutrosophic logic a proposition has a degree of truth (T), a de...

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...cations on advanced studies in neutrosophy,neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 19... ...two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic(esp... ...pecially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic). In neutrosophic logic aproposition has a degree of truth (T), a deg... ...Vol. 3, pp. 1-9. 2012.[7] Smarandache, F., " n-Valued Refined Neutrosophic Logic and Its Applications inPhysics", Progress in Physics, 143-146, Vol. 4... ...h, EL-Gamalcrypto-systemIntroduction and PreliminariesThe concept of fuzzy logic and fuzzy set was presented by Zadeh [10]. The mainpoint of fuzzy app...

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...orites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic). In neutrosophic logic a proposition has a degree of truth (T), a de...

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... Systems” has been created for publications on advanced studies in neutrosophy, neutrosophicset, neutrosophic logic, neutrosophic probability, neutro... ... of course) have common parts two by two,or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy ... ... set and respectively fuzzy logic (especially ofintuitionistic fuzzy set and respectively intuitionistic fuzzy logic). In neutrosophic logic a proposi... ...ive optimization using metaheuristics. Energy, 2018. 162: p. 645-658. [6] Rehman, S. and S.A. Khan, Fuzzy logic based multi-criteria wind turbine... ...t al., Wind turbine fault detection based on expanded linguistic terms and rules using non-singleton fuzzy logic. Applied Energy, 2020. 262: p. 11... .... International Journal of Maps in Mathematics 2021, 4(1), pp. 27-30.28. Rasiowa, H. An algebraic approach to non-classical logics. Studies in Logic ...

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...orites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic). In neutrosophic logic a proposition has a degree of truth (T), a de...

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... Systems” has been created for publications on advanced studies in neutrosophy, neutrosophicset, neutrosophic logic, neutrosophic probability, neutro... ... of course) have common parts two by two,or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy ... ... set and respectively fuzzy logic (especially ofintuitionistic fuzzy set and respectively intuitionistic fuzzy logic). In neutrosophic logic a proposi... ...her of the probability models, along with the traditional lognormal, has been preferableto others in a general logic in published literature [10].Zahi... ... true statements, butindeterminate, neutral, inconsistent, or something in between, is oriented by Neutrosophy logic [12-14]. In the actual world, the... ...d a group structure on neutrosophic triplet space in 2018[11]. Therefore, a new group form is assigned to some non-classical group structures. S¸ahin...

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...orites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic). In neutrosophic logic a proposition has a degree of truth (T), a de...

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... Systems” has been created for publications on advanced studies in neutrosophy, neutrosophicset, neutrosophic logic, neutrosophic probability, neutro... ... of course) have common parts two by two,or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy ... ... set and respectively fuzzy logic (especially ofintuitionistic fuzzy set and respectively intuitionistic fuzzy logic). In neutrosophic logic a proposi... ..., 2020 817. Smarandache, F. Neutrosophy: Neutrosophic probability, set, and logic. American Research Press, Rehobot... ..., and that which is neither ”A” nor ”Anti-A”, denoted by ”Neut-A”. Neutrosophy is the basis of neutrosophic logic, neutrosophic probability, neu... ...omorphism in (NTS) are introduced andstudied [5]. There are some sets in topological spaces their expansion in non-classical are studied, likesoft set... ... Sets and Systems, Vol. 48, 2022 123expansion in non-classical. The neutrosophic closure...

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...orites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic). In neutrosophic logic a proposition has a degree of truth (T), a de...

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... Systems” has been created for publications on advanced studies in neutrosophy, neutrosophicset, neutrosophic logic, neutrosophic probability, neutro... ... of course) have common parts two by two,or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy ... ... set and respectively fuzzy logic (especially ofintuitionistic fuzzy set and respectively intuitionistic fuzzy logic). In neutrosophic logic a proposi... ...ries The theory of neutrosophic set is established by F. Smarandache, and it is applied to many areassuch as non-classical logics, decision science,... ...ory of neutrosophic set is established by F. Smarandache, and it is applied to many areassuch as non-classical logics, decision science, image process... ...icts of Interest: The authors declare no conflict of interest.References1. F.Smarandache, A Unifying Field in Logics:Neutrosophic Logic. Neutrosophy,...