Definitions Derived From Neutrosophics

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Definitions Derived from Neutrosophics

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4./5 ( download)

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Book Synopsis Definitions Derived from Neutrosophics by : Florentin Smarandache

Download or read book Definitions Derived from Neutrosophics written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thirty-three new definitions are presented, derived from neutrosophic set, neutrosophic probability, neutrosophic statistics, and neutrosophic logic.

Introduction to Neutrosophic Statistics

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599732742
Total Pages : 125 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Introduction to Neutrosophic Statistics by : Florentin Smarandache

Download or read book Introduction to Neutrosophic Statistics written by Florentin Smarandache and published by Infinite Study. This book was released on 2014 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate because of some individuals that partially belong to the population or sample, and partially they do not belong, or individuals whose appurtenance is completely unknown. Also, there are population or sample individuals whose data could be indeterminate. In this book, we develop the 1995 notion of neutrosophic statistics. We present various practical examples. It is possible to define the neutrosophic statistics in many ways, because there are various types of indeterminacies, depending on the problem to solve.

A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition)

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599730804
Total Pages : 157 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition) by : Florentin Smarandache

Download or read book A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition) written by Florentin Smarandache and published by Infinite Study. This book was released on 2005 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: N-Norm and N-conorm are extended in Neutrosophic Logic/Set.

Interval Neutrosophic Sets and Logic: Theory and Applications in Computing

Author : Haibin Wang
Publisher : Infinite Study
ISBN 13 : 1931233942
Total Pages : 99 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Interval Neutrosophic Sets and Logic: Theory and Applications in Computing by : Haibin Wang

Download or read book Interval Neutrosophic Sets and Logic: Theory and Applications in Computing written by Haibin Wang and published by Infinite Study. This book was released on 2005 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the advancements and applications of neutrosophics, which are generalizations of fuzzy logic, fuzzy set, and imprecise probability. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and information fusion), medicine, military, cybernetics, physics.In the last chapter a soft semantic Web Services agent framework is proposed to facilitate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft semantic Web Services agent is implemented using interval neutrosophic logic.

Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set by : Florentin Smarandache

Download or read book Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set written by Florentin Smarandache and published by Infinite Study. This book was released on 2010-08-23 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.

Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1931233764
Total Pages : 213 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps by : W. B. Vasantha Kandasamy

Download or read book Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2003-01-01 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a world of chaotic alignments, traditional logic with its strict boundaries of truth and falsity has not imbued itself with the capability of reflecting the reality. Despite various attempts to reorient logic, there has remained an essential need for an alternative system that could infuse into itself a representation of the real world. Out of this need arose the system of Neutrosophy (the philosophy of neutralities, introduced by FLORENTIN SMARANDACHE), and its connected logic Neutrosophic Logic, which is a further generalization of the theory of Fuzzy Logic. In this book we study the concepts of Fuzzy Cognitive Maps (FCMs) and their Neutrosophic analogue, the Neutrosophic Cognitive Maps (NCMs). Fuzzy Cognitive Maps are fuzzy structures that strongly resemble neural networks, and they have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. Neutrosophic Cognitive Maps are generalizations of FCMs, and their unique feature is the ability to handle indeterminacy in relations between two concepts thereby bringing greater sensitivity into the results. Some of the varied applications of FCMs and NCMs which has been explained by us, in this book, include: modeling of supervisory systems; design of hybrid models for complex systems; mobile robots and in intimate technology such as office plants; analysis of business performance assessment; formalism debate and legal rules; creating metabolic and regulatory network models; traffic and transportation problems; medical diagnostics; simulation of strategic planning process in intelligent systems; specific language impairment; web-mining inference application; child labor problem; industrial relations: between employer and employee, maximizing production and profit; decision support in intelligent intrusion detection system; hyper-knowledge representation in strategy formation; female infanticide; depression in terminally ill patients and finally, in the theory of community mobilization and women empowerment relative to the AIDS epidemic.

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

Download 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 PDF Online Free

Author : Florentin Smarandache
Publisher : MDPI
ISBN 13 : 3039219383
Total Pages : 714 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis 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 by : Florentin Smarandache

Download or read book 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 written by Florentin Smarandache and published by MDPI. This book was released on 2019-11-27 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 37 papers by 73 renowned experts from 13 countries around the world, on following topics: neutrosophic set; neutrosophic rings; neutrosophic quadruple rings; idempotents; neutrosophic extended triplet group; hypergroup; semihypergroup; neutrosophic extended triplet group; neutrosophic extended triplet semihypergroup and hypergroup; neutrosophic offset; uninorm; neutrosophic offuninorm and offnorm; neutrosophic offconorm; implicator; prospector; n-person cooperative game; ordinary single-valued neutrosophic (co)topology; ordinary single-valued neutrosophic subspace; α-level; ordinary single-valued neutrosophic neighborhood system; ordinary single-valued neutrosophic base and subbase; fuzzy numbers; neutrosophic numbers; neutrosophic symmetric scenarios; performance indicators; financial assets; neutrosophic extended triplet group; neutrosophic quadruple numbers; refined neutrosophic numbers; refined neutrosophic quadruple numbers; multigranulation neutrosophic rough set; nondual; two universes; multiattribute group decision making; nonstandard analysis; extended nonstandard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; nonstandard neutrosophic mobinad set; neutrosophic topology; nonstandard neutrosophic topology; visual tracking; neutrosophic weight; objectness; weighted multiple instance learning; neutrosophic triangular norms; residuated lattices; representable neutrosophic t-norms; De Morgan neutrosophic triples; neutrosophic residual implications; infinitely ∨-distributive; probabilistic neutrosophic hesitant fuzzy set; decision-making; Choquet integral; e-marketing; Internet of Things; neutrosophic set; multicriteria decision making techniques; uncertainty modeling; neutrosophic goal programming approach; shale gas water management system.

Neutrosophic Triangular Norms and Their Derived Residuated Lattices

Author : Qingqing Hu
Publisher : Infinite Study
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Triangular Norms and Their Derived Residuated Lattices by : Qingqing Hu

Download or read book Neutrosophic Triangular Norms and Their Derived Residuated Lattices written by Qingqing Hu and published by Infinite Study. This book was released on with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic triangular norms (t-norms) and their residuated lattices are not only the main research object of neutrosophic set theory, but also the core content of neutrosophic logic. Neutrosophic implications are important operators of neutrosophic logic. Neutrosophic residual implications based on neutrosophic t-norms can be applied to the fields of neutrosophic inference and neutrosophic control. In this paper, neutrosophic t-norms, neutrosophic residual implications, and the residuated lattices derived from neutrosophic t-norms are investigated deeply. First of all, the lattice and its corresponding system are proved to be a complete lattice and a De Morgan algebra, respectively. Second, the notions of neutrosophic t-norms are introduced on the complete lattice discussed earlier. The basic concepts and typical examples of representable and non-representable neutrosophic t-norms are obtained. Naturally, De Morgan neutrosophic triples are defined for the duality of neutrosophic t-norms and neutrosophic t-conorms with respect to neutrosophic negators. Third, neutrosophic residual implications generated from neutrosophic t-norms and their basic properties are investigated. Furthermore, residual neutrosophic t-norms are proved to be infinitely -distributive, and then some important properties possessed by neutrosophic residual implications are given. Finally, a method for producing neutrosophic t-norms from neutrosophic implications is presented, and the residuated lattices are constructed on the basis of neutrosophic t-norms and neutrosophic residual implications.

Neutrosophy

Author : Florentin Smarandache
Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Neutrosophy by : Florentin Smarandache

Download or read book Neutrosophy written by Florentin Smarandache and published by . This book was released on 1998 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 193123387X
Total Pages : 149 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models by : W. B. Vasantha Kandasamy

Download or read book Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2004-01-01 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the involvement of uncertainty of varying degrees, when the total of the membership degree exceeds one or less than one, then the newer mathematical paradigm shift, Fuzzy Theory proves appropriate.For the past two or three decades, Fuzzy Theory has become the potent tool to study and analyze uncertainty involved in all problems. But, many real world problems also abound with the concept of indeterminacy.In this book, the new, powerful tool of neutrosophy that deals with indeterminacy is utilized. Innovative neutrosophic models are described.The theory of neutrosophic graphs is introduced and applied to fuzzy and neutrosophic models.Neutrosophic Logic and Neutrosophic Set (generalizations of Intuitionistic Fuzzy Logic and Intuitionistic Fuzzy Set respectively) became strong tools for applications.

Neutrosophic Logic, Wave Mechanics, and Other Stories (Selected Works 2005-2008)

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 973760931X
Total Pages : 131 pages
Book Rating : 4.7/5 (376 download)

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Book Synopsis Neutrosophic Logic, Wave Mechanics, and Other Stories (Selected Works 2005-2008) by : Florentin Smarandache

Download or read book Neutrosophic Logic, Wave Mechanics, and Other Stories (Selected Works 2005-2008) written by Florentin Smarandache and published by Infinite Study. This book was released on 2009 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is beginning for anything; we used to hear that phrase.The same wisdom word applies to us too. What began in 2005 asa short email on some ideas related to interpretation of the WaveMechanics results in a number of papers and books up to now.Some of these papers can be found in Progress in Physics orelsewhere.Our purpose here is to present a selection of those papers in acompilation which enable the readers to find some coherentideas which appeared in those articles. For this reason, theordering of the papers here is based on categories of ideas.

Neutrosophic Sets and Systems, vol. 49/2022

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 611 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 49/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 49/2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-04-01 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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. 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 together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, 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).

Blogs on Applications of Neutrosophics and Multispace in Sciences

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4./5 ( download)

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Book Synopsis Blogs on Applications of Neutrosophics and Multispace in Sciences by : Florentin Smarandache

Download or read book Blogs on Applications of Neutrosophics and Multispace in Sciences written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: The following blogs on applications of neutrosophics and multispace in sciences include meditations / reflections on science, comments, hypotheses, proposals, comparisons of ideas, possible projects, extensions or deviations or alternatives to classical knowledge, etc. selected from e-mails, letters, drafts, conversations, impressions, my diary, etc.

Neutrosophic Precalculus and Neutrosophic Calculus (second enlarged edition)

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Precalculus and Neutrosophic Calculus (second enlarged edition) by : Florentin Smarandache

Download or read book Neutrosophic Precalculus and Neutrosophic Calculus (second enlarged edition) written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy means the study of ideas and notions that are not true, nor false, but in between (i.e. neutral, indeterminate, unclear, vague, ambiguous, incomplete, contradictory, etc.). Each field has a neutrosophic part, i.e. that part that has indeterminacy. Thus, there were born the neutrosophic logic, neutrosophic set, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus, etc. There exist many types of indeterminacies – that is why neutrosophy can be developed in many different ways.

Neutropsychic Personality: A mathematical approach to psychology. Third updated edition

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599735830
Total Pages : 133 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutropsychic Personality: A mathematical approach to psychology. Third updated edition by : Florentin Smarandache

Download or read book Neutropsychic Personality: A mathematical approach to psychology. Third updated edition written by Florentin Smarandache and published by Infinite Study. This book was released on 2018-01-01 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutropsyche is the psychological theory that studies the soul or spirit using the neutrosophy and neutrosohic theories. In other words: Neutrosophic Psychological Theory. It is based on triadic neutrosophic psychological concepts of the form (, , ). Neutropsychic Personality is a neutrosophic dynamic open psychological system of tendencies to feel, think, and act specific to each individual, based on Neutrosophic Refined Memory: that restructured the division of memory into: consciousness, aconsciousness (which we introduce as a blend of consciousness and unconsciousness), and unconsciousness. Aconscious was further subdivided into preconscious, subconscious, semiconscious = semiunconscious, subunconscious, and preunconscious. In Neutrosophic Psychoanalysis Freud’s „id” (das Es) was renamed „under-ego” for a symmetry connection with „ego” and „super-ego” and a part of his Psychoanalysis wasextended, while other part rejected (Oedipus Complex, sexuality as main factor, static personality after adolescence, etc.).

New Research on Neutrosophic Algebraic Structures

Author : Mumtaz Ali
Publisher : Infinite Study
ISBN 13 : 1599733137
Total Pages : 335 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis New Research on Neutrosophic Algebraic Structures by : Mumtaz Ali

Download or read book New Research on Neutrosophic Algebraic Structures written by Mumtaz Ali and published by Infinite Study. This book was released on 2014 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we define several new neutrosophic algebraic structures and their related properties. The main focus of this book is to study the important class of neutrosophic rings such as neutrosophic LA-semigroup ring, neutrosophic loop ring, neutrosophic groupoid ring and so on. We also construct their generalization in each case to study these neutrosophic algebraic structures in a broader sense. The indeterminacy element “I“ gives rise to a bigger algebraic structure than the classical algebraic structures. It mainly classifies the algebraic structures in three categories such as: neutrosophic algebraic structures, strong neutrosophic algebraic structures, and classical algebraic structures respectively. This reveals the fact that a classic algebraic structure is a part of the neutrosophic algebraic structures. This opens a new way for the researcher to think in a broader way to visualize these vast neutrosophic algebraic structures.

Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Porbability and Statistics

Download Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Porbability and Statistics PDF Online Free

Author : Florentin Smarandache editor
Publisher : Infinite Study
ISBN 13 : 1931233675
Total Pages : 148 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Porbability and Statistics by : Florentin Smarandache editor

Download or read book Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Porbability and Statistics written by Florentin Smarandache editor and published by Infinite Study. This book was released on 2003-01-01 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collected papers on neutrosophics [such as: ?neutrosophy? - a new branch of philosophy, ?neutrosophic logic? ? a generalization of the fuzzy logic, ?neutrosophic set? ? a generalization of the fuzzy set, and ?neutrosophic probability? ? a generalization of classical probability and imprecise probability] by Florentin Smarandache, Jean Dezert, Andrzej Buller, Mohammad Khoshnevisan, Sarjinder Singh, Sukanto Bhattacharya, Feng Liu, Gh. C. Dinulescu-Campina, Chris Lucas, and Carlos Gershenson.Neutrosophic Logic involved the foundation of the Dezert-Smarandache Theory of Plausible and Paradoxical Reasoning, which has taken into consideration the combination of uncertain and contradictory information, used now in artificial intelligence.