Fuzzy Automata and Languages

Fuzzy Automata and Languages PDF

Author: John N. Mordeson

Publisher: CRC Press

Published: 2002-03-19

Total Pages: 577

ISBN-13: 1420035649

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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.

Fuzzy Semirings with Applications to Automata Theory

Fuzzy Semirings with Applications to Automata Theory PDF

Author: Javed Ahsan

Publisher: Springer Science & Business Media

Published: 2012-03-14

Total Pages: 234

ISBN-13: 3642276407

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The purpose of this book is to present an up to date account of fuzzy ideals of a semiring. The book concentrates on theoretical aspects and consists of eleven chapters including three invited chapters. Among the invited chapters, two are devoted to applications of Semirings to automata theory, and one deals with some generalizations of Semirings. This volume may serve as a useful hand book for graduate students and researchers in the areas of Mathematics and Theoretical Computer Science.

Introduction to Fuzziology: Study of Fuzziness of Knowing

Introduction to Fuzziology: Study of Fuzziness of Knowing PDF

Author: Vladimir Dimitrov

Publisher: Lulu.com

Published: 2005

Total Pages: 160

ISBN-13: 1411652711

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Fuzziology studies the sources, nature and dynamics of fuzziness (uncertainty) embedded in our understanding of ourselves and the world we live in. It aims at revealing the secrets of how to deal with uncertainty a?? not fighting with it in attempt to reduce or eliminate it, but learning to collaborate with it and use its dynamics as catalysts for our growth in wisdom. This is of vital importance in todaya??s epoch of rapidly escalating complexity and uncertainty along every dimension of life.The book describes a rich spectrum of theoretical and practical insights born out of the authora??s research in the field of human-oriented applications of fuzzy logic and complexity a?? a research to which he has devoted many years of his academic life.

Readings in Fuzzy Sets for Intelligent Systems

Readings in Fuzzy Sets for Intelligent Systems PDF

Author: Didier J. Dubois

Publisher: Morgan Kaufmann

Published: 2014-05-12

Total Pages: 929

ISBN-13: 1483214508

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Readings in Fuzzy Sets for Intelligent Systems is a collection of readings that explore the main facets of fuzzy sets and possibility theory and their use in intelligent systems. Basic notions in fuzzy set theory are discussed, along with fuzzy control and approximate reasoning. Uncertainty and informativeness, information processing, and membership, cognition, neural networks, and learning are also considered. Comprised of eight chapters, this book begins with a historical background on fuzzy sets and possibility theory, citing some forerunners who discussed ideas or formal definitions very close to the basic notions introduced by Lotfi Zadeh (1978). The reader is then introduced to fundamental concepts in fuzzy set theory, including symmetric summation and the setting of fuzzy logic; uncertainty and informativeness; and fuzzy control. Subsequent chapters deal with approximate reasoning; information processing; decision and management sciences; and membership, cognition, neural networks, and learning. Numerical methods for fuzzy clustering are described, and adaptive inference in fuzzy knowledge networks is analyzed. This monograph will be of interest to both students and practitioners in the fields of computer science, information science, applied mathematics, and artificial intelligence.

Fuzzy Semigroups

Fuzzy Semigroups PDF

Author: John N. Mordeson

Publisher: Springer

Published: 2012-11-03

Total Pages: 324

ISBN-13: 3540371257

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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.

Fuzzy Semirings with Applications to Automata Theory

Fuzzy Semirings with Applications to Automata Theory PDF

Author: Javed Ahsan

Publisher: Springer

Published: 2012-03-05

Total Pages: 234

ISBN-13: 3642276415

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The purpose of this book is to present an up to date account of fuzzy ideals of a semiring. The book concentrates on theoretical aspects and consists of eleven chapters including three invited chapters. Among the invited chapters, two are devoted to applications of Semirings to automata theory, and one deals with some generalizations of Semirings. This volume may serve as a useful hand book for graduate students and researchers in the areas of Mathematics and Theoretical Computer Science.

Fuzzy Sets, Fuzzy Logic, And Fuzzy Systems: Selected Papers By Lotfi A Zadeh

Fuzzy Sets, Fuzzy Logic, And Fuzzy Systems: Selected Papers By Lotfi A Zadeh PDF

Author: George J Klir

Publisher: World Scientific

Published: 1996-05-30

Total Pages: 842

ISBN-13: 9814499811

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This book consists of selected papers written by the founder of fuzzy set theory, Lotfi A Zadeh. Since Zadeh is not only the founder of this field, but has also been the principal contributor to its development over the last 30 years, the papers contain virtually all the major ideas in fuzzy set theory, fuzzy logic, and fuzzy systems in their historical context. Many of the ideas presented in the papers are still open to further development. The book is thus an important resource for anyone interested in the areas of fuzzy set theory, fuzzy logic, and fuzzy systems, as well as their applications. Moreover, the book is also intended to play a useful role in higher education, as a rich source of supplementary reading in relevant courses and seminars.The book contains a bibliography of all papers published by Zadeh in the period 1949-1995. It also contains an introduction that traces the development of Zadeh's ideas pertaining to fuzzy sets, fuzzy logic, and fuzzy systems via his papers. The ideas range from his 1965 seminal idea of the concept of a fuzzy set to ideas reflecting his current interest in computing with words — a computing in which linguistic expressions are used in place of numbers.Places in the papers, where each idea is presented can easily be found by the reader via the Subject Index.