Davender S Malik's Books

Application of Fuzzy Logic to Social Choice Theory

By: John N. Mordeson,Davender S. Malik,Terry D. Clark

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Application of Fuzzy Logic to Social Choice Theory

By: John N. Mordeson,Davender S. Malik,Terry D. Clark

Fuzzy social choice theory is useful for modeling the uncertainty and imprecision prevalent in social life yet it has been scarcely applied and studied in the social sciences. Filling this gap, Application of Fuzzy Logic to Social Choice Theory provides a comprehensive study of fuzzy social choice theory.The book explains the concept of a fuzzy max

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Page Count

346

Publisher

CRC Press

Published Date

ISBN 10

1482250993

ISBN 13

9781482250992

Fuzzy Graph Theory with Applications to Human Trafficking

By: John N. Mordeson,Sunil Mathew,Davender S. Malik

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Fuzzy Graph Theory with Applications to Human Trafficking

By: John N. Mordeson,Sunil Mathew,Davender S. Malik

This book reports on advanced concepts in fuzzy graph theory, showing a set of tools that can be successfully applied to understanding and modeling illegal human trafficking. Building on the previous book on fuzzy graph by the same authors, which set the fundamentals for readers to understand this developing field of research, this second book gives a special emphasis to applications of the theory. For this, authors introduce new concepts, such as intuitionistic fuzzy graphs, the concept of independence and domination in fuzzy graphs, as well as directed fuzzy networks, incidence graphs and many more.

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Page Count

262

Publisher

Springer

Published Date

ISBN 10

3319764543

ISBN 13

9783319764542

Fuzzy Automata and Languages

Theory and Applications

By: John N. Mordeson,Davender S. Malik

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Fuzzy Automata and Languages

Theory and Applications

By: John N. Mordeson,Davender S. Malik

Fuzzy Automata Theory offers the first in-depth treatment of the theory and mathematics of fuzzy automata and fuzzy languages. It effectively compares and contrasts the different approaches used in fuzzy mathematics and automata and includes complete proofs of the theoretical results presented. More than 60 figures and 125 examples illustrate the results, and exercises in each chapter serve not only to test understanding, but also to present material not covered in detail within the text. Although the book is theoretical in nature, the authors also discuss applications in a variety of fields, including databases, medicine, learning systems, and pattern recognition.

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Page Count

577

Publisher

CRC Press

Published Date

ISBN 10

1420035649

ISBN 13

9781420035643

Fuzzy Semigroups

By: John N. Mordeson,Davender S. Malik,Nobuaki Kuroki

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Fuzzy Semigroups

By: John N. Mordeson,Davender S. Malik,Nobuaki Kuroki

Lotfi Zadeh introduced the notion of a fuzzy subset of a set in 1965. Ris seminal paper has opened up new insights and applications in a wide range of scientific fields. Azriel Rosenfeld used the notion of a fuzzy subset to put forth cornerstone papers in several areas of mathematics, among other discplines. Rosenfeld is the father of fuzzy abstract algebra. Kuroki is re sponsible for much of fuzzy ideal theory of semigroups. Others who worked on fuzzy semigroup theory, such as Xie, are mentioned in the bibliogra phy. The purpose of this book is to present an up to date account of fuzzy subsemigroups and fuzzy ideals of a semigroup. We concentrate mainly on theoretical aspects, but we do include applications. The applications are in the areas of fuzzy coding theory, fuzzy finite state machines, and fuzzy languages. An extensive account of fuzzy automata and fuzzy languages is given in [100]. Consequently, we only consider results in these areas that have not appeared in [100] and that pertain to semigroups. In Chapter 1, we review some basic results on fuzzy subsets, semigroups, codes, finite state machines, and languages. The purpose of this chapter is to present basic results that are needed in the remainder of the book. In Chapter 2, we introduce certain fuzzy ideals of a semigroup, namely, fuzzy two-sided ideals, fuzzy bi-ideals, fuzzy interior ideals, fuzzy quasi ideals, and fuzzy generalized bi-ideals.

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Page Count

324

Publisher

Springer

Published Date

ISBN 10

3540371257

ISBN 13

9783540371250

Fuzzy Discrete Structures

By: Davender S. Malik,John N. Mordeson

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Fuzzy Discrete Structures

By: Davender S. Malik,John N. Mordeson

This ambitious exposition by Malik and Mordeson on the fuzzification of discrete structures not only supplies a solid basic text on this key topic, but also serves as a viable tool for learning basic fuzzy set concepts "from the ground up" due to its unusual lucidity of exposition. While the entire presentation of this book is in a completely traditional setting, with all propositions and theorems provided totally rigorous proofs, the readability of the presentation is not compromised in any way; in fact, the many ex cellently chosen examples illustrate the often tricky concepts the authors address. The book's specific topics - including fuzzy versions of decision trees, networks, graphs, automata, etc. - are so well presented, that it is clear that even those researchers not primarily interested in these topics will, after a cursory reading, choose to return to a more in-depth viewing of its pages. Naturally, when I come across such a well-written book, I not only think of how much better I could have written my co-authored monographs, but naturally, how this work, as distant as it seems to be from my own area of interest, could nevertheless connect with such. Before presenting the briefest of some ideas in this direction, let me state that my interest in fuzzy set theory (FST) has been, since about 1975, in connecting aspects of FST directly with corresponding probability concepts. One chief vehicle in carrying this out involves the concept of random sets.

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Page Count

278

Publisher

Physica

Published Date

ISBN 10

3790818380

ISBN 13

9783790818383

Fuzzy Graph Theory

By: Sunil Mathew,John N. Mordeson,Davender S. Malik

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Fuzzy Graph Theory

By: Sunil Mathew,John N. Mordeson,Davender S. Malik

This book provides a timely overview of fuzzy graph theory, laying the foundation for future applications in a broad range of areas. It introduces readers to fundamental theories, such as Craine’s work on fuzzy interval graphs, fuzzy analogs of Marczewski’s theorem, and the Gilmore and Hoffman characterization. It also introduces them to the Fulkerson and Gross characterization and Menger’s theorem, the applications of which will be discussed in a forthcoming book by the same authors. This book also discusses in detail important concepts such as connectivity, distance and saturation in fuzzy graphs. Thanks to the good balance between the basics of fuzzy graph theory and new findings obtained by the authors, the book offers an excellent reference guide for advanced undergraduate and graduate students in mathematics, engineering and computer science, and an inspiring read for all researchers interested in new developments in fuzzy logic and applied mathematics.

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