Neutrosophic Bilinear Algebras and their Generalizations

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Publisher : Infinite Study
ISBN 13 : 9185917141
Total Pages : 404 pages
Book Rating : 4.1/5 (859 download)

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Book Synopsis Neutrosophic Bilinear Algebras and their Generalizations by : W. B. Vasantha Kandasamy

Download or read book Neutrosophic Bilinear Algebras and their Generalizations written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2010 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces over one hundred new concepts related to neutrosophic bilinear algebras and their generalizations. Illustrated by more than 225 examples, these innovative new notions find applications in various fields.

The Encyclopedia of Neutrosophic Researchers, 1st volume

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Publisher : Infinite Study
ISBN 13 : 1599734680
Total Pages : 232 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis The Encyclopedia of Neutrosophic Researchers, 1st volume by : Florentin Smarandache

Download or read book The Encyclopedia of Neutrosophic Researchers, 1st volume written by Florentin Smarandache and published by Infinite Study. This book was released on 2016-11-12 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.

Symbolic Neutrosophic Theory

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Publisher : Infinite Study
ISBN 13 : 1599733757
Total Pages : 196 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Symbolic Neutrosophic Theory by : Florentin Smarandache

Download or read book Symbolic Neutrosophic Theory written by Florentin Smarandache and published by Infinite Study. This book was released on 2015-10-14 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 (dynamics of and , to get a synthesis) to the neutrosophic tetrad thesis-antithesis-neutrothesis-neutrosynthesis (dynamics of , , and , in order to get a neutrosynthesis). In the second chapter we introduce the neutrosophic system and neutrosophic dynamic system. A neutrosophic system is a quasi- or (t,i,f)–classical system, in the sense that the neutrosophic system deals with quasi-terms/concepts/attributes, etc. [or (t,i,f)-terms/concepts/attributes], which are approximations of the classical terms/concepts/attributes, i.e. they are partially true/membership/probable (t), partially indeterminate (i), and partially false/nonmembership/improbable (f), where t, i, f are subsets of the unitary interval [0, 1]. In the third chapter we introduce for the first time the notions of Neutrosophic Axiom, Neutrosophic Deducibility, Neutrosophic Axiomatic System, Degree of Contradiction (Dissimilarity) of Two Neutrosophic Axioms, etc. The fourth chapter we introduced for the first time a new type of structures, called (t, i, f)-Neutrosophic Structures, presented from a neutrosophic logic perspective, and we showed particular cases of such structures in geometry and in algebra. In any field of knowledge, each structure is composed from two parts: a space, and a set of axioms (or laws) acting (governing) on it. If the space, or at least one of its axioms (laws), has some indeterminacy of the form (t, i, f) ≠ (1, 0, 0), that structure is a (t, i, f)-Neutrosophic Structure. In the fifth chapter we make a short history of: the neutrosophic set, neutrosophic numerical components and neutrosophic literal components, neutrosophic numbers, etc. The aim of this chapter is to construct examples of splitting the literal indeterminacy (I) into literal sub-indeterminacies (I1,I2,…,Ir), and to define a multiplication law of these literal sub-indeterminacies in order to be able to build refined I-neutrosophic algebraic structures. In the sixth chapter we define for the first time three neutrosophic actions and their properties. We then introduce the prevalence order on (T, I, F) with respect to a given neutrosophic operator "o", which may be subjective - as defined by the neutrosophic experts. And the refinement of neutrosophic entities , , and . Then we extend the classical logical operators to neutrosophic literal (symbolic) logical operators and to refined literal (symbolic) logical operators, and we define the refinement neutrosophic literal (symbolic) space. In the seventh chapter we introduce for the first time the neutrosophic quadruple numbers (of the form a+bT+cI+dF) and the refined neutrosophic quadruple numbers. Then we define an absorbance law, based on a prevalence order, both of them in order to multiply the neutrosophic components T, I, F or their sub-components T_j, I_k, F_l and thus to construct the multiplication of neutrosophic quadruple numbers.

Natural Neutrosophic Numbers and MOD Neutrosophic Numbers

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Publisher : Infinite Study
ISBN 13 : 1599733668
Total Pages : 188 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Natural Neutrosophic Numbers and MOD Neutrosophic Numbers by : W. B. Vasantha Kandasamy

Download or read book Natural Neutrosophic Numbers and MOD Neutrosophic Numbers written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors in this book introduce a new class of natural neutrsophic numbers using MOD intervals. These natural MOD neutrosophic numbers behave in a different way for the product of two natural neutrosophic numbers can be neutrosophic zero divisors or idempotents or nilpotents. Several open problems are suggested in this book.

Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability

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Publisher : Infinite Study
ISBN 13 : 159973253X
Total Pages : 142 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability by : Florentin Smarandache

Download or read book Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we introduce for the first time the notions of neutrosophic measure and neutrosophic integral, and we develop the 1995 notion of neutrosophic probability. We present many practical examples. 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 indeterminacies, depending on the problem we need to solve. Neutrosophics study the indeterminacy. Indeterminacy is different from randomness. It can be caused by physical space materials and type of construction, by items involved in the space, etc.

Neutrosophic Sets and Systems, Vol. VIII

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Publisher : Infinite Study
ISBN 13 : 1599733382
Total Pages : 70 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. VIII by : Florentin Smarandache, Mumtaz Ali

Download or read book Neutrosophic Sets and Systems, Vol. VIII written by Florentin Smarandache, Mumtaz Ali and published by Infinite Study. This book was released on 2015-04-01 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of ten papers by contributors F. Smarandache, F. Yuhua, K. Mondal, S. Pramanik, S. Broumi, J. Ye, A. A. Salama,, N. Easa, S. A. Elhafez, M. M. Lotfy, L. Kong, Y. Wu, P. Biswas, B. C. Giri, A. Mukkerjee, and S. Sarkar, focusing on a new kind of algebraic structures called (T, I, F)- Neutrosophic Structures; Expanding Uncertainty Principle to Certainty-Uncertainty Principles with Neutrosophy and Quad-stage Methods; Rough Neutrosophic Multi-Attribute Decision-Making Based on Rough Accuracy Score Function; an Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variable; Review of Recommender Systems Algorithms Utilized in Social Networks based e-Learning Systems & Neutrosophic System; Fault Diagnosis Method of Gasoline Engines Using the Cosine Similarity Measure of Neutrosophic Numbers; Cosine Similarity Measure Based Multi-attribute Decision-making with Trapezoidal Fuzzy Neutrosophic Numbers; Thesis-Antithesis-Neutrothesis, and Neutrosynthesis; Negating Four Color Theorem with Neutrosophy and Quadstage Method; and A new method of measuring similarity between two neutrosophic soft sets and its application in pattern recognition problems.

Neutrosophic Sets and Systems, vol. 8/2015

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 8/2015 by : L. Kong

Download or read book Neutrosophic Sets and Systems, vol. 8/2015 written by L. Kong and published by Infinite Study. This book was released on with total page 70 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.

New Classes of Neutrosophic Linear Algebras

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Publisher : Infinite Study
ISBN 13 : 1599731169
Total Pages : 288 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis New Classes of Neutrosophic Linear Algebras by : W. B. Vasantha Kandasamy

Download or read book New Classes of Neutrosophic Linear Algebras written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2010-01-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we introduce three types of neutrosophic linear algebras: neutrosophic set lineat algebra, neutrosophic semigroup linear algebra, and neutrosophic group linear algebra. These are generalizations of neutrosophic linear algebra. These new algebraic structures pave the way for applications in several fields like mathematical modeling.

Interval Linear Algebra

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Publisher : Infinite Study
ISBN 13 : 1599731266
Total Pages : 249 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Interval Linear Algebra by : W. B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Interval Linear Algebra written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2010 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interval Arithmetic, or Interval Mathematics, was developed in the 1950s and 1960s as an approach to rounding errors in mathematical computations. However, there was no methodical development of interval algebraic structures to this date.This book provides a systematic analysis of interval algebraic structures, viz. interval linear algebra, using intervals of the form [0, a].

Neutrosophic Sets and Systems, vol. 51/2022

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 970 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 51/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 51/2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-09-01 with total page 970 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).

266 Solutions to Problems from Linear Algebra 4th Ed. , Friedberg, Insel, Spence

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781533013033
Total Pages : 0 pages
Book Rating : 4.0/5 (13 download)

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Book Synopsis 266 Solutions to Problems from Linear Algebra 4th Ed. , Friedberg, Insel, Spence by : Daniel Callahan

Download or read book 266 Solutions to Problems from Linear Algebra 4th Ed. , Friedberg, Insel, Spence written by Daniel Callahan and published by Createspace Independent Publishing Platform. This book was released on 2016-05-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Algebra 4th ed., by Friedberg, Insel, and Spence is one of the world's best textbooks on the subject of finite-dimensional linear analysis. This book offers 266 solutions to problems from chapters 1-7. Specifically, there are 27 solutions to problems in chapter 1; 64 solutions to problems in chapter 2; 17 solutions to problems in chapter 3; 16 solutions to problems in chapter 4; 44 solutions to problems in chapter 5; 50 solutions to problems in chapter 6; and 8 solutions to problems in chapter 7.

Neutrosophy

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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:

Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set

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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.

Multi-Level Decision Making

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Publisher : Springer
ISBN 13 : 3662460599
Total Pages : 385 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Multi-Level Decision Making by : Guangquan Zhang

Download or read book Multi-Level Decision Making written by Guangquan Zhang and published by Springer. This book was released on 2015-02-07 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents new developments in multi-level decision-making theory, technique and method in both modeling and solution issues. It especially presents how a decision support system can support managers in reaching a solution to a multi-level decision problem in practice. This monograph combines decision theories, methods, algorithms and applications effectively. It discusses in detail the models and solution algorithms of each issue of bi-level and tri-level decision-making, such as multi-leaders, multi-followers, multi-objectives, rule-set-based, and fuzzy parameters. Potential readers include organizational managers and practicing professionals, who can use the methods and software provided to solve their real decision problems; PhD students and researchers in the areas of bi-level and multi-level decision-making and decision support systems; students at an advanced undergraduate, master’s level in information systems, business administration, or the application of computer science.

Neural Networks for Pattern Recognition

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Publisher : Oxford University Press
ISBN 13 : 0198538642
Total Pages : 501 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Neural Networks for Pattern Recognition by : Christopher M. Bishop

Download or read book Neural Networks for Pattern Recognition written by Christopher M. Bishop and published by Oxford University Press. This book was released on 1995-11-23 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical pattern recognition; Probability density estimation; Single-layer networks; The multi-layer perceptron; Radial basis functions; Error functions; Parameter optimization algorithms; Pre-processing and feature extraction; Learning and generalization; Bayesian techniques; Appendix; References; Index.

Introduction to Bimatrices

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Publisher : Infinite Study
ISBN 13 : 1931233950
Total Pages : 181 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Introduction to Bimatrices by : W. B. Vasantha Kandasamy

Download or read book Introduction to Bimatrices written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2005 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generally any real-world problem is not always solvable, because in that not only a percentage of uncertainty is present, but also, a certain percentage of indeterminacy is present. The presence of uncertainty has been analyzed using fuzzy logic. In this book the amount of indeterminacy is being analyzed using neutrosophic logic.Most of these models use the concept of matrices. Matrices have certain limitation; when the models are time-dependent and any two experts opinions are being studied simultaneously, one cannot compare both of them at each stage. The new concept of bimatrices would certainly cater to these needs.A bimatrix AB = A1 U B2, where A1 and A2 are distinct matrices of arbitrary order. This book introduces the concept of bimatrices, and studies several notions like bieigen values, bieigen vectors, characteristic bipolynomials, bitransformations, bioperators and bidiagonalization.Further, we introduce and explore the concepts like fuzzy bimatrices, neutrosophic bimatrices and fuzzy neutrosophic bimatrices, which will find its application in fuzzy and neutrosophic logics.

Pioneers of Representation Theory: Frobenius, Burnside, Schur, and Brauer

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Publisher : American Mathematical Soc.
ISBN 13 : 0821826778
Total Pages : 308 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Pioneers of Representation Theory: Frobenius, Burnside, Schur, and Brauer by : Charles W. Curtis

Download or read book Pioneers of Representation Theory: Frobenius, Burnside, Schur, and Brauer written by Charles W. Curtis and published by American Mathematical Soc.. This book was released on 1999 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The AMS History of Mathematics series is one of the most popular items for bookstore sales. These books feature colorful, attractive covers that are perfect for face out displays. The topics will appeal to a broad audience in the mathematical and scientific communities.