Special Set Linear Algebra and Special Set Fuzzy Linear Algebra

Special Set Linear Algebra and Special Set Fuzzy Linear Algebra PDF

Author: W. B. Vasantha Kandasamy

Publisher: Infinite Study

Published: 2009-01-01

Total Pages: 469

ISBN-13: 1599731061

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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.

Set Linear Algebra and Set Fuzzy Linear Algebra

Set Linear Algebra and Set Fuzzy Linear Algebra PDF

Author: W. B. Vasantha Kandasamy

Publisher: Infinite Study

Published: 2008

Total Pages: 346

ISBN-13: 1599730294

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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.

Interval Linear Algebra

Interval Linear Algebra PDF

Author: W. B. Vasantha Kandasamy, Florentin Smarandache

Publisher: Infinite Study

Published: 2010

Total Pages: 249

ISBN-13: 1599731266

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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

New Classes of Neutrosophic Linear Algebras PDF

Author: W. B. Vasantha Kandasamy

Publisher: Infinite Study

Published: 2010-01-01

Total Pages: 288

ISBN-13: 1599731169

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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.

New Soft Set Based Class of Linear Algebraic Codes

New Soft Set Based Class of Linear Algebraic Codes PDF

Author: Mumtaz Ali

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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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.

Linear Algebra and Smarandache Linear Algebra

Linear Algebra and Smarandache Linear Algebra PDF

Author: W. B. Vasantha Kandasamy

Publisher: Infinite Study

Published: 2003

Total Pages: 175

ISBN-13: 1931233756

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In this book the author analyzes the Smarandache linear algebra, and introduces several other concepts like the Smarandache semilinear algebra, Smarandache bilinear algebra and Smarandache anti-linear algebra. We indicate that Smarandache vector spaces of type II will be used in the study of neutrosophic logic and its applications to Markov chains and Leontief Economic models ? both of these research topics have intense industrial applications. The Smarandache linear algebra, is defined to be a Smarandache vector space of type II, on which there is an additional operation called product, such that for all a, b in V, ab is in V.The Smarandache vector space of type II is defined to be a module V defined over a Smarandache ring R such that V is a vector space over a proper subset k of R, where k is a field.