Set Linear Algebra And Set Fuzzy Linear Algebra

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Set Linear Algebra and Set Fuzzy Linear Algebra

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599730294
Total Pages : 346 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Set Linear Algebra and Set Fuzzy Linear Algebra by : W. B. Vasantha Kandasamy

Download or read book Set Linear Algebra and Set Fuzzy Linear Algebra written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2008 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set linear algebras, introduced by the authors in this book, are the most generalized form of linear algebras.These structures make use of very few algebraic operations and are easily accessible to non-mathematicians as well.The dominance of computers in everyday life calls for a paradigm shift in the concepts of linear algebra. The authors believe that set linear algebra will cater to that need.

Special Set Linear Algebra and Special Set Fuzzy Linear Algebra

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599731061
Total Pages : 469 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Special Set Linear Algebra and Special Set Fuzzy Linear Algebra by : W. B. Vasantha Kandasamy

Download or read book Special Set Linear Algebra and Special Set Fuzzy Linear Algebra written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2009-01-01 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special Set Linear Algebras introduced by the authors in this book is an extension of Set Linear Algebras, which are the most generalized form of linear algebras. These structures can be applied to multi-expert models. The dominance of computers in everyday life calls for a paradigm shift in the concepts of linear algebras. The authors belief that special set linear algebra will cater to that need.

Interval Linear Algebra

Author : W. B. Vasantha Kandasamy, Florentin Smarandache
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].

New Classes of Neutrosophic Linear Algebras

Author : W. B. Vasantha Kandasamy
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.

Linear Algebra and Matrix Theory

Author : Robert R. Stoll
Publisher : Courier Corporation
ISBN 13 : 0486623181
Total Pages : 290 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Linear Algebra and Matrix Theory by : Robert R. Stoll

Download or read book Linear Algebra and Matrix Theory written by Robert R. Stoll and published by Courier Corporation. This book was released on 2012-10-17 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and completely abstract mathematics. The first five chapters treat topics important to economics, psychology, statistics, physics, and mathematics. Subjects include equivalence relations for matrixes, postulational approaches to determinants, and bilinear, quadratic, and Hermitian forms in their natural settings. The final chapters apply chiefly to students of engineering, physics, and advanced mathematics. They explore groups and rings, canonical forms for matrixes with respect to similarity via representations of linear transformations, and unitary and Euclidean vector spaces. Numerous examples appear throughout the text.

New Soft Set Based Class of Linear Algebraic Codes

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

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Book Synopsis New Soft Set Based Class of Linear Algebraic Codes by : Mumtaz Ali

Download or read book New Soft Set Based Class of Linear Algebraic Codes written by Mumtaz Ali and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we design and develop a new class of linear algebraic codes defined as soft linear algebraic codes using soft sets. The advantage of using these codes is that they have the ability to transmit m-distinct messages to m-set of receivers simultaneously.

Set Theoretic Approach to Algebraic Structures in Mathematics - A Revelation

Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599732122
Total Pages : 168 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Set Theoretic Approach to Algebraic Structures in Mathematics - A Revelation by : W. B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Set Theoretic Approach to Algebraic Structures in Mathematics - A Revelation written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2013 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

n-Linear Algebra of Type II

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599730316
Total Pages : 231 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis n-Linear Algebra of Type II by : W. B. Vasantha Kandasamy

Download or read book n-Linear Algebra of Type II written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2008 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: n-Linear Algebra of type II is constructed over n-fields, n-eigen values and n-eigen vectors and it will find applications in finite element analysis of civil and mechanical structures with uncertain parameters

Linear Algebra Via Exterior Products

Author : Sergei Winitzki
Publisher : Sergei Winitzki
ISBN 13 : 140929496X
Total Pages : 286 pages
Book Rating : 4.4/5 (92 download)

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Book Synopsis Linear Algebra Via Exterior Products by : Sergei Winitzki

Download or read book Linear Algebra Via Exterior Products written by Sergei Winitzki and published by Sergei Winitzki. This book was released on 2009-07-30 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a pedagogical introduction to the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the array-based formalism of vector and matrix calculations. This book makes extensive use of the exterior (anti-commutative, "wedge") product of vectors. The coordinate-free formalism and the exterior product, while somewhat more abstract, provide a deeper understanding of the classical results in linear algebra. Without cumbersome matrix calculations, this text derives the standard properties of determinants, the Pythagorean formula for multidimensional volumes, the formulas of Jacobi and Liouville, the Cayley-Hamilton theorem, the Jordan canonical form, the properties of Pfaffians, as well as some generalizations of these results.

Mathematics of Fuzzy Sets

Author : Ulrich Höhle
Publisher : Springer Science & Business Media
ISBN 13 : 9780792383888
Total Pages : 732 pages
Book Rating : 4.3/5 (838 download)

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Book Synopsis Mathematics of Fuzzy Sets by : Ulrich Höhle

Download or read book Mathematics of Fuzzy Sets written by Ulrich Höhle and published by Springer Science & Business Media. This book was released on 1998-12-31 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics of fuzzy sets. Much of this book is new material required to standardize this mathematics, making this volume a reference tool with broad appeal as well as a platform for future research. Fourteen chapters are organized into three parts: mathematical logic and foundations (Chapters 1-2), general topology (Chapters 3-10), and measure and probability theory (Chapters 11-14). Chapter 1 deals with non-classical logics and their syntactic and semantic foundations. Chapter 2 details the lattice-theoretic foundations of image and preimage powerset operators. Chapters 3 and 4 lay down the axiomatic and categorical foundations of general topology using lattice-valued mappings as a fundamental tool. Chapter 3 focuses on the fixed-basis case, including a convergence theory demonstrating the utility of the underlying axioms. Chapter 4 focuses on the more general variable-basis case, providing a categorical unification of locales, fixed-basis topological spaces, and variable-basis compactifications. Chapter 5 relates lattice-valued topologies to probabilistic topological spaces and fuzzy neighborhood spaces. Chapter 6 investigates the important role of separation axioms in lattice-valued topology from the perspective of space embedding and mapping extension problems, while Chapter 7 examines separation axioms from the perspective of Stone-Cech-compactification and Stone-representation theorems. Chapters 8 and 9 introduce the most important concepts and properties of uniformities, including the covering and entourage approaches and the basic theory of precompact or complete [0,1]-valued uniform spaces. Chapter 10 sets out the algebraic, topological, and uniform structures of the fundamentally important fuzzy real line and fuzzy unit interval. Chapter 11 lays the foundations of generalized measure theory and representation by Markov kernels. Chapter 12 develops the important theory of conditioning operators with applications to measure-free conditioning. Chapter 13 presents elements of pseudo-analysis with applications to the Hamilton–Jacobi equation and optimization problems. Chapter 14 surveys briefly the fundamentals of fuzzy random variables which are [0,1]-valued interpretations of random sets.

Special Classes of Set Codes and Their Applications

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599730790
Total Pages : 169 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Special Classes of Set Codes and Their Applications by : W. B. Vasantha Kandasamy

Download or read book Special Classes of Set Codes and Their Applications written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2008 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides, for the first time, a few classes of Set Codes, the most generalized class of algebraic codes.These codes are best-suited for their applications in cryptography, coding block truncation, image compression, computer networking and data storage.

Quasi Set Topological Vector Subspaces

Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599731967
Total Pages : 154 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Quasi Set Topological Vector Subspaces by : W. B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Quasi Set Topological Vector Subspaces written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Structures Using Super Inter Interval Matrices

Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599731533
Total Pages : 289 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Algebraic Structures Using Super Inter Interval Matrices by : W. B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Algebraic Structures Using Super Inter Interval Matrices written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2011 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fuzzy Linguistic Topological Spaces

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599731754
Total Pages : 195 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Fuzzy Linguistic Topological Spaces by : W. B. Vasantha Kandasamy

Download or read book Fuzzy Linguistic Topological Spaces written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2012-01-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Structures Using Subsets

Author : W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599732165
Total Pages : 199 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Algebraic Structures Using Subsets by : W. B. Vasantha Kandasamy, Florentin Smarandache

Download or read book Algebraic Structures Using Subsets written by W. B. Vasantha Kandasamy, Florentin Smarandache and published by Infinite Study. This book was released on 2012 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: "[The] study of algebraic structures using subsets [was] started by George Boole. After the invention of Boolean algebra, subsets are not used in building any algebraic structures. In this book we develop algebraic structures using subsets of a set or a group, or a semiring, or a ring, and get algebraic structures. Using group or semigroup, we only get subset semigroups. Using ring or semiring, we get only subset semirings. By this method, we get [an] infinite number of non-commutative semirings of finite order. We build subset semivector spaces, [and] describe and develop several interesting properties about them."--

The Encyclopedia of Neutrosophic Researchers, 1st volume

Author : Florentin Smarandache
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.

Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists

Author : W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral
Publisher : Infinite Study
ISBN 13 : 1599730057
Total Pages : 352 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists by : W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral

Download or read book Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists written by W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral and published by Infinite Study. This book was released on 2007-03-01 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: