Description Details
...Papers in current issue: Interval Valued Neutrosophic Graphs; Neutrosophic Crisp Probability Theory & Decision Making Process; On Strong Interval Valued Neutrosophic Graphs; The Concept of Neutrosophic Less than or Equal: A New Insight in Unconstrained Geometric Programming; Multi-Criteria Decision Making...

Full Text Search Details
...ali, F. Smarandache Interval Valued Neutrosophic Graphs 34 A. Salama, F. Smarandache Neutrosophic Crisp Probability Theory & Decision Mak... ...andache Interval Valued Neutrosophic Graphs 34 A. Salama, F. Smarandache Neutrosophic Crisp Probability Theory & Decision Making Process ... ...s, interval valued intuitionstic fuzzysets and single valued neutrosophic sets. We apply for the first time to graph theorythe concept of interval val... ...sand their applications may be found in [3, 4, 5,6, 19, 20, 21, 22, 24, 25, 26, 27,39, 41, 42, 43, 44, 45, 49].Graph theory has now become a major bra... ... Graph is a widely used toolfor solving a combinatorial problem in different areas, such as geometry,algebra, number theory, topology, optimization or... ...Theory and Neutrosophic Cognitive Maps, Xiquan, Phoenix, 2004.[53] Florentin Smarandache, Neutrosophy. Neutrosophic Probability, Set, and Logic, Am... ...hic Overset, Neutrosophic Underset, and Neutrosophic Offset. Similarly for Neutrosophic Over-/Under-/Off- Logic, Probability, and Statistics, 168 ... ... Critical Review. Volume XII, 2016 34 Neutrosophic Crisp ProbabilityTheory & Decision Maki... ...cate that adecision making process takes place in neutrosophic environment. In this paper, weintroduce and study the probability of neutrosophic crisp...

Description Details
...Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapid...

Full Text Search Details
...lorentin Smarandache, Surapati Pramanik (Editors)New Trends in Neutrosophic Theory and ApplicationsNeutrosophic Science International AssociationPresi... ... Pramanik (Editors) New Trends in Neutrosophic Theory and Applications Pons Editions ... ...rance. New Trends in Neutrosophic Theory and Applications TABLE OF CONTENTSAims and... ...ges and Trends ................................................... 177GRAPH THEORYSaid Broumi, Mohamed Talea, Assia Bakali, Florentin SmarandacheSingl... ......................................................................... 279 PROBABILITY THEORY A. A. Salama, Florentin Smarandache Neutrosophic Cris... ...PROBABILITY THEORY A. A. Salama, Florentin Smarandache Neutrosophic Crisp Probability Theory & Decision Making Process ................................ ... data mining, decision making, e-learning, graph theory, medical diagnosis, probability theory, topology, and some more. Flor... ...h data mining, decision making, e-learning,graph theory, medical diagnosis, probability theory, topology, and some theoretical papers. Thisbook shows ... ...sophicenvironment. The twentieth chapter emphasizes the neutrosophic crisp probability theory and the decisionmaking process by presenting some funda...

Description Details
...with uncertainty, indeterminacy and inconsistent information in which human knowledge is necessary, and human evaluation is needed. Neutrosophic set theory was proposed in 1998 by Florentin Smarandache, who also developed the concept of single valued neutrosophic set, oriented towards real world scientific and engineering applications. Since then, the single valued neutro...

Full Text Search Details
...orentin Smarandache, Surapati Pramanik (Editors)New Trends in Neutrosophic Theory and Applications Volume IIPeer Reviewers Prof... ...Pramanik (Editors) New Trends in Neutrosophic Theory and Applications Volume II ... ... EU 2018 Aims and Scope Neutrosophic theory and applications have been expanding in all directions at anastonish... ...been rapidly developed. Oneof the most striking trends in the neutrosophic theory is the hybridization ofneutrosophic set with other potential sets su... ... data mining, decisionmaking, e-learning, graph theory, medical diagnosis, probability theory, topology, andsome more. Floren... ...trosophic studies, such as decision making, graphtheory, image processing, probability theory, topology, and some theoretical papers. This volume c... ...ional Sciences, 6, 34-37.Smarandache, F. (1998). Neutrosophy: Neutrosophic probability, set, and logic. Rehoboth.Smarandache, F. (1999). A unifying fi... ...ifying field in logics: Neutrosophic logic. neutrosophy, neutrosophic set, probability. American Research Press,Rehoboth.Smarandache, F. (2013). N... ...). Fuzzy sets. Information and Control, 8(3), 338-353.Zadeh, L. A. (1968). Probability measures of fuzzy events. Journal of Mathematical Analysis and ...

Excerpt Details
...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, event, concept, entity, by Non-A what is not A, and by Anti-A the opposite of A. Neut-A means what is neither A nor Anti-A, i.e. neutrality is also in between the two extremes. ...

Table of Contents Details
...ial order structure . . . . . . . . . . . . . . . . 65 8.4 Hyper-valued matrix logics . . . . . . . . . . . . . . . . . . . . . 68 8.5 Hyper-valued probability theory and hyper-valued fuzzy logic . . 70 9 p -Adic valued logics. . . . . . . . . . . . . . . 73 9.1 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 9.2 p-Adic valued partial order...

Full Text Search Details
... . . . . . . . . . . . . . . . 68 8.5 Hyper-valued probability theory and hyper-valued fuzzy logic ... ... . . . . . . . . . . . 68 8.5 Hyper-valued probability theory and hyper-valued fuzzy logic ... ... . . . . . . . . . . . . . . . . . 75 9.4 p-Adic probability theory and p-adic fuzzy logic ... ... . . . . . . . . . . . . . 75 9.4 p-Adic probability theory and p-adic fuzzy logic . . . ... ...itely many points ofview Neut-A. Let’s note by A an idea, or proposition, theory, event, concept,entity, by Non A- what is not A, and by Anti-A the o... ...utrosophy as study of neutralities; 2. neutrosophic logic and neutrosophic probability as a mathematical model 1... ...adoxical reasoning that studies DSm models is calledthe Dezert-Smarandache theory (DSmT). It is totally different from thoseof all existing approaches ... ...fferent sources. Belief function is a connection between fuzzy reasoningand probability. The Dempster-Shafer theory of belief functions is a generaliz... ...pster-Shafer theory of belief functions is a generalization of theBayesian probability (Bayes 1760s, Laplace 1780s); this uses the mathemati-cal proba...

Description Details
...This second book devoted on advances and applications of Dezert-Smarandache Theory (DSmT) for information fusion collects recent papers from different researchers working in engineering and mathematics. Part 1 of this book presents the current state-of-the-art on theoretical investigations while, Par...

Table of Contents Details
...conflict redistribution rule stable in terms of decision 69 by Arnaud Martin and Christophe Osswald 2.1 Introduction . . . . . . . . . . . 69 2.2 Theory bases . . . . . . . . . . 70 2.2.1 Belief Function Models . . . . . . . . 70 2.2.2 Combination rules . . . . . . . . . 71 2.2.3 Decision rules . . . . . . . . . 72 2.3 The generalized PCR rules . . . . . . . . . 73...

Full Text Search Details
....PreambleThis second book devoted on advances and applications of Dezert-Smarandache Theory (DSmT) for information fusion collects recent papers fro... ... theo-retical investigations while, Part 2 presents several applications of this new theory. Some ideasin this book are still under current developmen... ...SmTfor Information Fusion’. As already mentioned in Volume 1, The Dezert-Smarandache Theory(DSmT) is considered as an extension of the Dempster-Shafer... ...brings in depth presentation ofseveral theoretical advances and applications of that theory. In particular, the combinationrules have been treated in ... .... . . . . . . . . . . . . . . . 171 6.5.1 The belief as a probability of a modal proposition ... ... . . . . . . . . . . . . . . . . . 192 7.4.2 Hyper-valued probability theory and hyper-valued fuzzy logic ... ... . . . . . . . . . . . . . . . . . . . 197 7.5.2 p-Adic probability theory . . . . . . . . . . . ... ...y reliable sources, i.e.when quantitative bba’s m1(.) and m2(.) reduce to subjective probability measures P1(.) andP2(.), after elementary algebraic d... ... P CR5(.) defines 12a subjective-combined probability measure satisfying all axioms of classical Probabilit...

Full Text Search Details
...SOLVED AND U SOLVED PROBLEMS, CONJECTURES, AND THEOREMSIN NUMBER THEORY AND GEOMETRY edit ed by M. L. Perez XI... ... DEFINITIONS, SOLVED AND UNSOLVEDPROBLEMS, CONJECTURES, AND THEOREMS IN NUMBER THEORY AND GEOMETRY edited by M. L. Perez XIQUAN PUBLISHIN... ...DEFINITIONS, SOLVED AND UNSOLVED PROBLEMS, CONJECTURES, AND THEOREMS IN NUMBER THEORY AND GEOMETRY edited by M. L. PerezEditorial Board:Amarnath Mu... ... On the 22-nd, the 23-rd, and the 24-th Smarandache's problems. Notes on Number Theory and Discrete Mathematics, Vol. 5 (1999), No.2, 80-82.[10] Ata... ...assov K., On the 37-th and the 38-th Smarandache's problems. !ll'otes on Number Theory and Discrete Mathematics, Vol. 5 (1999), No.2,83-85.[11J Atan... ...Physics), :\0. 1, 1998, p. 6l.[85J Smarandache, F., :\eutrosophy, :\eutrosophic Probability, Set, and Logic. American Research Press, Rehoboth, 1998...

Description Details
...This book aims to assist social scientists to analyze their problems using fuzzy models. The basic and essential fuzzy matrix theory is given. The book does not promise to give the complete properties of basic fuzzy theory or basic fuzzy matrices. Instead, the authors have only tried to give those essential basically needed to develop the fuzzy mode...

Table of Contents Details
...Preface 4 Dedication 6 Chapter One BASIC MATRIX THEORY AND FUZZY MATRIX THEORY 7 1.1 Basic Matrix Theory 7 1.2 Basic Concepts on Fuzzy Matrices 33 1.3 Basic Concepts on Graphs 47 Chapter Two DESCRIPTION OF SIMPLE FUZZY MODELS AND THEIR APPLICATIONS TO REAL WORLD PRO...

Full Text Search Details
...f Sciences, Sofia, Bulgaria.Prof. Ion Goian, Department of Algebra, Number Theory and Logic, StateUniversity of Kishinev, R. Moldova.Copyright 2007 by... ... 4 Dedication 6 Chapter One BASIC MATRIX THEORY AND FUZZY MATRIX THEORY 71.1 Basic Matrix The... ...lyze theirproblems using fuzzy models. The basic and essential fuzzymatrix theory is given. The book does not promise to give thecomplete properties o... ...n. The book does not promise to give thecomplete properties of basic fuzzy theory or basic fuzzymatrices. Instead, the authors have only tried to give... ...ee. Thesignificance of Zadeh’s contribution was that it challenged notonly probability theory as a sole agent for uncertainty; but thevery foundations... ...ry as a sole agent for uncertainty; but thevery foundations upon which the probability theory is based,Aristotelian two – valued logic. For when A is ... ...nt paths of the particles after collisions. The study of Markov chains in probability theory involvesdirected graphs in the sense that events are rep... ...bypoints and a directed line from one point to another indicates apositive probability of direct succession of these two events.This is made explicit ... ...eutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics, Florentin Smarandache editor, Xiquan, Ph...

Description Details
...ers need to explore innovative strategies and frameworks and become ever more critical. This book, "Contemporary Education: Reframing Theory and Practice Across Fields," brings together a collection of studies that reflect the dynamic and multifaceted nature of contemporary education. It seeks to offer fresh perspectives on both theoretica...

Full Text Search Details
...CONTEMPORARY EDUCATION: REFRAMING THEORY AND PRACTICE ACROSS FIELDS Editors Mu... ...house.cominfo@bztturanpublishinghouse.comCONTEMPORARY EDUCATION: REFRAMING THEORY AND PRACTICE ACROSSFIELDSMuhlise Çoşgun Ögeyik, Kutay UzunLanguage: ... ...d Citiation:Ögeyik, M. & Uzun K. (2024). CONTEMPORARY EDUCATION: REFRAMING THEORY ANDPRACTICE ACROSS FIELDS. BZT TURAN PUBLISHING HOUSE.DOI: https://d... ...: Reframing beliefs, learning styles and strategies,Theory and Practice Across Fields," reading/writing ... ...nt by instructors entailing to be strategy of non-probability sampling,informed about concepts such as giving ... ...able interest- one person’s or group’s freedomin terms of probability. and power is bought at the price o... ...s of the 9th Annual Teaching Learning Forum.Galloway, A. (2005). Non-Probability Sampling. Encyclopedia of Social Measurement, 859–864.Gencel, İ... ... production also utilizes multi-word units suchcomputed as the sum of the probability of as formulaic expressions, ... ...ogarithm of that interested in to draw conclusions from data.probability. Therefore, higher entropy values For this...

Description Details
...The author introduces for the first time the concept of plithogeny in philosophy and, as a derivative, the concepts of plithogenic set / logic / probability / statistics in mathematics and engineering – and the degrees of contradiction (dissimilarity) between the attributes’ values that contribute to a more accurate construction of plithogenic aggregation operators an...

Full Text Search Details
...Florentin SmarandachePlithogeny,Plithogenic Set, Logic, Probability, and StatisticsIn the memory of my beloved parentsMaria (b... ...y 2017 Florentin Smarandache Plithogeny,Plithogenic Set, Logic, Probability, and Statistics Brussels, Belgium, 2017Peer Reviewers:Prof.... ...y Set/Logic, Intuitionistic Fuzzy Set/Logic, andNeutrosophic Set / Logic / Probability / Statistics to Plithogenic Set /Logic / Probability / Statisti... ... ·························································· 15 Plithogenic Probability ···················································· 16 Plithog... ...p, Fuzzy, Intuitionistic Fuzzy, Neutrosophic, and Plithogenic Set/Logic/Probability Operators ····················· 22II. PLITHOGENIC SET··········... ...ture and arts, soft and hard sciences, and soon. Unconventional research / theory / ideas… Of course, the dynamics and fusions do not work for all ... ...tscan also be explained in terms of matter. Idealism is a philosophical theory that things (reality) existin our mind only, as ideas; they are depe... ...al termfrom German and Romanian languages to English. Gnoseology is the theory of cognition; philosophical theoryrefereed to the human’s capacity o...

Description Details
...In this book, the author introduces the notions of neutrosophic measure and neutrosophic integral, and develops the 1995 notion of neutrosophic probability. Many practical examples are presented. It is possible to define the neutrosophic measure and consequently the neutrosophic integral and neutrosophic probability in many ways, because there are various types of in...

Full Text Search Details
... فنخء ٕ٘ذع١ٗ عّخسٔذحوخ ل١خط حكظّخي ١ٔظشٚعٛفه Neutrosophic Probability Measure ٔظش٠ش حلافٕخف ح١ٌٕظشٚعٛفه Neutrosophic Category Th... ...hic Probability Measure ٔظش٠ش حلافٕخف ح١ٌٕظشٚعٛفه Neutrosophic Category Theory Neutrosophic Integral طىخًِ ١ٔظشٚعٛفه ... ...phic Sigma-Algebra of Event Neutrosophic Probability Measure ل١خط حكظّخٌٟ ١ٔظشٚعٛفه Neutrosophic Probab... ... ِظظخرؼخص ٌزذ١ٙ٠خص حكظّخي ١ٔظشٚعٛفه Consequences of Neutrosophic Probability Axioms طفغ١شحص ٌلاكظّخي ح١ٌٕظشٚعٛفه Int... ... طفغ١شحص ٌلاكظّخي ح١ٌٕظشٚعٛفه Interpretations of the Neutrosophic Probability Neutrosophic Notions طش١ِضحص ١ٔظشٚعٛفه حكظّ... ... طش١ِضحص ١ٔظشٚعٛفه حكظّخ١ٌش هز١ؼ١ش )ؿؼٍٙخ هز١ؼ١ش( normalized probabilityحكظّخي غ١ش طخَ incomplete probability Kolmog... ...осительности, Hexis, 105 p., 2006.23. Interval Neutrosophic Sets and Logic: Theory and Applications in Computing, Hexis, 87 p., 2005, by H. Wang, F. ... ...sis of Social Aspect of Migrant Labourers Living with HIV/AIDS Using Fuzzy Theory and Neutrosophic Cognitive Maps / With specific reference to Rural... ...a, Romanian Academy, Bucharest, 6-10 July 2009.34. Neutrosophic Logic as a Theory of Everything in Logics, by Florentin Smarandache, in Multispace a...

Description Details
...trosophic component 1 and < 0 are real in our world, so we have to take them into consideration. Then, similarly, the Neutrosophic Logic / Measure / Probability / Statistics etc. were extended to respectively Neutrosophic Over- / Under- / Off -Logic, -Measure, -Probability, -Statistics etc. Many practical obvious examples are presented in this book, in order to show that ...

Full Text Search Details
... Similarly for Neutrosophic Over-/Under-/Off- Logic, Probability, and Statistics Florentin SmarandacheNeu... ...hic Offset Similarly for Neutrosophic Over-/Under-/Off- Logic, Probability, and StatisticsPeer-Reviewers: Dr. Surapati Pramanik, ... ... and Neutrosophic OffsetSimilarly for Neutrosophic Over-/Under-/Off- Logic, Probability, and Statistics Pons Editions ... ...and Neutrosophic Offset Similarly for Neutrosophic Over-/Under-/Off- Logic, Probability, and Statistics20. Neutrosophic Universe of Discourse (... .............................................9132. Definition of Refined Neutrosophic Probability .........................93 Example of Refined Neutro... ...w that in our everyday life wecontinuously deal with neutrosophic over-/under-/off-theory and applications. 13Florentin Smarandac... ...minology We introduce several new scientific notions in thedomain of Neutrosophic Theory and Its Applications, coinednow for the first time upon the ... ...acitlyimplied or explicitly delineated as the subject of a statement,discourse, or theory”. In the HarperCollins Dictionary of Mathematics (1991), it... ... 𝑆 and 𝐴 are 100% dependent of each other, then onehas as in classical fuzzy set theory 0 ≤ 𝑆 + 𝐴 ≤ 1. (54) But if...

Description Details
...The fields of neutrosophic and plithogenic sets, logic, measure, probability, and statistics have been developed and explored extensively in the last few years because of their multiple practical applications....

Full Text Search Details
...New types of NeutrosophicSet/Logic/Probability,Neutrosophic Over-/Under-/Off-Set, Neutrosophic RefinedSet, and... ...-Set, Neutrosophic RefinedSet, and their Extensionto Plithogenic Set/Logic/Probability, with Applications ... ...in Symmetrywww.mdpi.com/journal/symmetryNew types of NeutrosophicSet/Logic/Probability, NeutrosophicOver-/Under-/Off-Set, NeutrosophicRefined Set, and ... ...f-Set, NeutrosophicRefined Set, and their Extension toPlithogenic Set/Logic/Probability,with ApplicationsNew types of NeutrosophicSet/Logic/Probability... ...f-Set, NeutrosophicRefined Set, and their Extension toPlithogenic Set/Logic/Probability,with ApplicationsSpecial Issue EditorFlorentin SmarandacheMDPI ... ...osophic physics, superluminal and instantaneous physics,unmatter, absolute theory of relativity, redshift and blueshift due to the medium gradient and... ...uplet structures,quadruple neutrosophic structures, and Dezert–Smarandache theory (DSmT) to many peer-reviewedinternational journals and many books, a... ...ȱ structures;ȱ andȱ multiplicationȱ lawȱ ofȱ subȬ indeterminaciesȱ[12];ȱ—Theoryȱ ofȱ neutrosophicȱ evolution:ȱ degreesȱ ofȱ evolution,ȱ indeterminac... ... intelligence,ȱ informationȱ systems,ȱ computerȱ science,ȱ cybernetics,ȱ theoryȱ methods,ȱ mathematicalȱ algebraicȱ structures,ȱ appliedȱ mathematic...

Full Text Search Details
...CS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY. (third edition) NL... ...CS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY. (third edition) NL... ...d in logics: 87 3. Neutrosophic Set - a unifying field in sets: 112 4. Neutrosophic Probability - a generalization of classical andimprecise probabi... ...tive “neutrosophic”, such as “neutrosophic logic”, “neutrosophic set”, “neutrosophic probability”, and “neutrosophic statistics” and thus opening new... ...stics” and thus opening new ways of research in four fields: philosophy, logics, set theory, and probability/statistics.It was known to me his settin... ...hus opening new ways of research in four fields: philosophy, logics, set theory, and probability/statistics.It was known to me his setting up in 1980... ...nse creation. Also, to experiment."2.2. Etymology:Paradoxism = paradox+ism, means the theory and school of using paradoxes in literary,artistic, philo... ...r interactions with different ideational spectra.Neutrosophy considers a proposition, theory, event, concept, or entity, "A" in relation to its opposi... ..., I, F are standard or non-standard subsets included in . -0, 1+ 0. The Fundamental Theory: Every idea <A> tends to be neutralized, diminished,balan...

Description Details
...This is a study of the applicability of prospect theory to military decision making.Prospect theory posits that the decision maker’s reference point determines thedomain in which he makes a decision. One implication of this study is that if the decision maker can do the sam...

Table of Contents Details
...INTRODUCTION . . . . 1 MILITARY DECISION MAKING AND PROSPECT THEORY. . . . 5 MARKET GARDEN: CALCULATED RISK OR FOOLISH GAMBLE? . . . . 19 APPLYING THE FRAMEWORK . . . . 39 BIBLIOGRAPHY . . . . 47...

Full Text Search Details
... . . . . . . . . . . . . 1 2 MILITARY DECISION MAKING AND PROSPECT THEORY . . . . 5 3 MARKET GARDEN: CALCULATED RISK OR ... ... . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2 Prospect Theory and Estimate Process Matching . . . . . . . . . . . 14 ... ... Abstract This is a study of the applicability of prospect theory to military decision making.Prospect theory posits that the decisi... ..., if gains, then he will be risk averse. The authorproposes that if prospect theory’s propositions are correct, then it may be possible forthe decisio... ...nlinear. Decision makers tend to overweigh utilityvalues while underweighing probability values. Expected utility modelsexpect that preference orderin... ... be viewed as the potential for failurebased on subjective evaluation of the probability for failure or success for aparticular decision problem. Fail... ...thing is at stake. Thegreater the stake, the greater the risk. There is some probability of loss. Thegreater the probability of loss, the greater the ... ...es. A prospect (x1, p1;....;xn,pn) is a contract that yields outcome xi with probability pi, where p1+p2...+pn=1. To simplify notation, we omit null... ...tcomes and use (x,p) to denote the prospect (x,p;0,1-p) that yields x with probability 1-p. The (riskless) prospect that yields x with certainty i...

Full Text Search Details
...ics Magazine, Aurora, Canada, Vol.12(2003) [2] Y.P.Liu, Enumerative Theory of Maps, Kluwer Academic Publishers, Dor- drecht/ Boston/ L... ...ia Magna, Vol.1(2005), No.2, 55-73. [4] L.F.Mao, Smarandache multi-space theory, Hexis, Phoenix, AZ§2006. [5] F.Smarandache, Mixed noneuclid... ...s of Social Aspects of Migrant Labourers Living with HIV/AIDS Using Fuzzy Theory and Neutro- sophic Cognitive Maps(translation of the Tamil intervie... ...n Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability(Third edi- tion). [8] Proceedings of the First international C... ...ence on Neutrosophy, Neutro- sophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics. [9] C. Ashbacher, Introduction to Neutrosophic ... ...ache, Y-Q. Zhang, R. Sunderraman, Interval Neutro- sophic Sets and Logic: Theory and Applications in Computing.[11] F. Smarandache, F. Liu, Neutrosop... ...ity and Beyond? From Finance to Infor-mational Finance (using Neutrosophic Probability), Bond University, Queensland,Australia, 2004.Haibin Wang, Stud... ...niversity Press, USA, [4] Tom M.Apostol. Introduction to Analytic Number Theory. New York: Springer- Verlag, 1976. [5] F.Mertens. Ein Beitrag Zur...

Description Details
...Fuzzy theory is one of the best tools to analyze data, when the data under study is an unsupervised one, involving uncertainty coupled with imprecision. However, fuzzy theory cannot cater to analyzing the data involved with indete...

Full Text Search Details
... 312ABOUT THE AUTHORS 316 4PrefaceFuzzy theory is one of the best tools to analyze data, whenthe data under study i... ...l women inTamil Nadu. Chapter 2 is an analysis of the situation usingfuzzy theory in general and Fuzzy Relational Maps (FRM)in particular. The FRM too... ...t criteria. The quantization vectors should estimatethe underlying unknown probability distribution of patterns.The distribution of prototype vectors ... ...tisticallyresemble the unknown distribution of patterns. Uniform sampling probability, provides an informationtheoretic criterion for an optimal quan... ...ing adjectives“supervised” and “unsupervised” stem from patternrecognition theory. The distinction depends on whether thelearning algorithm uses p... ...patients.Neuroscientist Dr. Hebb [1949] first developed themechanistic theory of conjunctive (correlation) synapticlearning in his book, "The Orga... ...ral Networks (ICNN-88), 1 141-152.64. Kosko, B., (1990) “Fuzziness vs. Probability,” International Journal of General Systems, 17 211-240.65... ...trosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics, University of New Mexico, Gallup.114. Sma... ...rnational Conference on Neutrosophy, Neutrosophic Set, Neutrosophic Probability and Statistics, University of New Mexico.115. Smarandache, ...

Description Details
...Symbolic (or Literal) Neutrosophic Theory is referring to the use of abstract symbols (i.e. the letters T, I, F, or their refined indexed letters Tj, Ik, Fl) in neutrosophics. In the first chapter we extend the dialectical triad thesis-antithesis-synthesis (d...

Full Text Search Details
...Neutrosophic Theory Florentin Smarandache Symbolic Neutrosophic Theory 1Florentin Smarandache Publisher Europa... ...e Author. 2 Symbolic Neutrosophic Theory Florentin SmarandacheSymbolic Neutrosophic Theory ... ... Table 4 Symbolic Neutrosophic TheoryContentsForeword........................................................ ....................................................... 54 2.35 Neutrosophic probability of the system’s states. ......... 55 2.36 (𝑟, 𝑖, 𝑋)-reitera... ...... 60 6 Symbolic Neutrosophic Theory3 Neutrosophic Axiomatic System ........................................ ...ester,therefore Laura (1.25, 0, 0) ∈ 𝒮. In neutrosophic logic/set/probability it’spossible to have the sum of components (𝑟, 𝑖, 𝑋)differen... ...tes where theneutrosophic system partialy avoid residing.2.35 Neutrosophic probability of the system’sstates. In any (classical or neutrosophi... ... a given time 𝜌, for each system state 𝜏 one canassociate a neutrosophic probability, 𝒩𝒫(𝜏) = (𝑟, 𝑖, 𝑋), (2... ... 𝑟, 𝑖, 𝑋 are subsets of the unit interval [0, 1] suchthat: 𝑟 = the probability that the system resides in 𝜏; 𝑖 = the indeterminate proba...

Description Details
...Symbolic (or Literal) Neutrosophic Theory is referring to the use of abstract symbols (i.e. the letters T, I, F, or their refined indexed letters Tj, Ik, Fl) in neutrosophics. In the first chapter we extend the dialectical triad thesis-antithesis-synthesis (...

Full Text Search Details
...Neutrosophic Theory Florentin Smarandache Symbolic Neutrosophic Theory 1Florentin Smarandache Publisher Europa... ...e Author. 2 Symbolic Neutrosophic Theory Florentin SmarandacheSymbolic Neutrosophic Theory ... ... Table 4 Symbolic Neutrosophic TheoryContentsForeword........................................................ ....................................................... 54 2.35 Neutrosophic probability of the system’s states. ......... 55 2.36 (𝑟, 𝑖, 𝑋)-reitera... ...... 60 6 Symbolic Neutrosophic Theory3 Neutrosophic Axiomatic System ........................................ ...ester,therefore Laura (1.25, 0, 0) ∈ 𝒮. In neutrosophic logic/set/probability it’spossible to have the sum of components (𝑟, 𝑖, 𝑋)differen... ...tes where theneutrosophic system partialy avoid residing.2.35 Neutrosophic probability of the system’sstates. In any (classical or neutrosophi... ... a given time 𝜌, for each system state 𝜏 one canassociate a neutrosophic probability, 𝒩𝒫(𝜏) = (𝑟, 𝑖, 𝑋), (2... ... 𝑟, 𝑖, 𝑋 are subsets of the unit interval [0, 1] suchthat: 𝑟 = the probability that the system resides in 𝜏; 𝑖 = the indeterminate proba...

Description Details
...l Spaces and give many practical examples. Neutrosophic Science means development and applications of Neutrosophic Logic / Set / Measure / Integral / Probability etc. and their applications in any field. It is possible to define the Neutrosophic Measure and consequently the Neutrosophic Integral and Neutrosophic Probability in many ways, because there are various types of ...

Full Text Search Details
...A. A. Salama & Florentin Smarandache Neutrosophic Crisp Set Theory Neutrosophic Neutrosophic Neu... ... Type 1. Type 2. Neutrosophic Crisp Set Probability of Neutrosophic Crisp Set Neutrosophic Set ... ... Columbus / 2015 Neutrosophic Crisp Set Theory A. A. SalamaDepartment of Mathematics and Computer... ... smarand@unm.edu Neutrosophic Crisp Set Theory Educational Publisher Columbus / 2015 ... ...SBN 978-1-59973-323-42 Neutrosophic Crisp Set Theory ContentsNeutrosophic Science........................ ................................................1497.3 Non-Classical Sets via Probability Neutrosophic Components150 Definition A.7.3.1 ................... .........................................................................151 Probability axioms of NCS .................................................... ...development and applications of Neutrosophic Logic, Set, Measure,Integral, Probability etc., and their applications in any field. It is possibleto def... ...osophic measure and consequently the neutrosophicintegral and neutrosophic probability in many ways, because there arevarious types of indeterminacies...

Full Text Search Details
...al Conference on Neutrosophy,Neutrosophic Logic, Neutrosophic Set,Neutrosophic Probability and Statistics University of New Mexico -... ...L CONFERENCE ON NEUTROSOPHY, NEUTROSOPHIC LOGIC, NEUTROSOPHIC SET,NEUTROSOPHIC PROBABILITY AND STATISTICS Xiquan ... ...a First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability and Statistics December 1-3, 2001 ... ...sets:http://www.gallup.unm.edu/~smarandache/NeutrosophicSet.PDF• 4. Neutrosophic Probability - a generalization ofclassical and imprecise probabili... ...ion to Neutrosophy, Neutrosophic Logic, Neutrosophic Set, and Neutrosophic Probability and Statistics) Florentin Smarandac... ...tems, and instability of stable systems. Let's note by <A> an idea, or proposition, theory, event, concept, entity, by <Non-A> what is not <A>, and by... ...e trying to measure the truth, indeterminacy, andfalsehood.My hypothesis is that no theory is exempted from paradoxes, because of the languageimprecis... ...ent criteria and thecomplementarity of various sources.For example, the Possibility Theory (Zadeh 1978, Dubois, Prade) gives a better approach thanthe... ...bility Theory (Zadeh 1978, Dubois, Prade) gives a better approach thanthe Fuzzy Set Theory (Yager) due to self-improving connectives. The Possibility...