First Course on Fuzzy Theory and Applications
First Course on Fuzzy Theory and Applications

Author: Kwang Hyung Lee

Publisher: Springer Science & Business Media

Published: 2006-11-30

Total Pages: 341

ISBN-13: 354032366X

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Fuzzy theory has become a subject that generates much interest among the courses for graduate students. However, it was not easy to find a suitable textbook to use in the introductory course and to recommend to the students who want to self-study. The main purpose of this book is just to meet that need. The author has given lectures on the fuzzy theory and its applications for ten years and continuously developed lecture notes on the subject. This book is a publication of the modification and summary of the lecture notes. The fundamental idea of the book is to provide basic and concrete concepts of the fuzzy theory and its applications, and thus the author focused on easy illustrations of the basic concepts. There are numerous examples and figures to help readers to understand and also added exercises at the end of each chapter. This book consists of two parts: a theory part and an application part. The first part (theory part) includes chapters from 1 to 8. Chapters 1 and 2 introduce basic concepts of fuzzy sets and operations, and Chapters 3 and 4 deal with the multi-dimensional fuzzy sets. Chapters 5 and 6 are extensions of the fuzzy theory to the number and function, and Chapters 7 and 8 are developments of fuzzy properties on the probability and logic theories.

A First Course in Fuzzy Logic
A First Course in Fuzzy Logic

Author: Hung T. Nguyen

Publisher: CRC Press

Published: 2005-10-06

Total Pages: 436

ISBN-13: 1420057103

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A First Course in Fuzzy Logic, Third Edition continues to provide the ideal introduction to the theory and applications of fuzzy logic. This best-selling text provides a firm mathematical basis for the calculus of fuzzy concepts necessary for designing intelligent systems and a solid background for readers to pursue further studies and real-world a

A First Course in Fuzzy and Neural Control
A First Course in Fuzzy and Neural Control

Author: Hung T. Nguyen

Publisher: CRC Press

Published: 2002-11-12

Total Pages: 314

ISBN-13: 1420035525

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Although the use of fuzzy control methods has grown nearly to the level of classical control, the true understanding of fuzzy control lags seriously behind. Moreover, most engineers are well versed in either traditional control or in fuzzy control-rarely both. Each has applications for which it is better suited, but without a good understanding of

A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics
A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics

Author: Laécio Carvalho de Barros

Publisher: Springer

Published: 2016-09-13

Total Pages: 304

ISBN-13: 3662533243

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This book provides an essential introduction to the field of dynamical models. Starting from classical theories such as set theory and probability, it allows readers to draw near to the fuzzy case. On one hand, the book equips readers with a fundamental understanding of the theoretical underpinnings of fuzzy sets and fuzzy dynamical systems. On the other, it demonstrates how these theories are used to solve modeling problems in biomathematics, and presents existing derivatives and integrals applied to the context of fuzzy functions. Each of the major topics is accompanied by examples, worked-out exercises, and exercises to be completed. Moreover, many applications to real problems are presented. The book has been developed on the basis of the authors’ lectures to university students and is accordingly primarily intended as a textbook for both upper-level undergraduates and graduates in applied mathematics, statistics, and engineering. It also offers a valuable resource for practitioners such as mathematical consultants and modelers, and for researchers alike, as it may provide both groups with new ideas and inspirations for projects in the fields of fuzzy logic and biomathematics.

Fuzzy Set Theory
Fuzzy Set Theory

Author: George J. Klir

Publisher:

Published: 1997

Total Pages: 264

ISBN-13:

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Fuzzy Set Theory: Foundations and Applications serves as a simple introduction to basic elements of fuzzy set theory. The emphasis is on a conceptual rather than a theoretical presentation of the material. Fuzzy Set Theory also contains an overview of the corresponding elements of classical set theory - including basic ideas of classical relations - as well as an overview of classical logic. Because the inclusion of background material in these classical foundations provides a self-contained course of study, students from many different academic backgrounds will have access to this important new theory.

Fuzzy Sets, Fuzzy Logic, Applications
Fuzzy Sets, Fuzzy Logic, Applications

Author: George Bojadziev

Publisher: World Scientific

Published: 1996-01-09

Total Pages: 299

ISBN-13: 9814499943

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Fuzzy sets and fuzzy logic are powerful mathematical tools for modeling and controlling uncertain systems in industry, humanity, and nature; they are facilitators for approximate reasoning in decision making in the absence of complete and precise information. Their role is significant when applied to complex phenomena not easily described by traditional mathematics.The unique feature of the book is twofold: 1) It is the first introductory course (with examples and exercises) which brings in a systematic way fuzzy sets and fuzzy logic into the educational university and college system. 2) It is designed to serve as a basic text for introducing engineers and scientists from various fields to the theory of fuzzy sets and fuzzy logic, thus enabling them to initiate projects and make applications.

A First Course in Group Theory
A First Course in Group Theory

Author: Bijan Davvaz

Publisher: Springer Nature

Published: 2021-11-10

Total Pages: 300

ISBN-13: 9811663653

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This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. Topics on important examples of groups (like cyclic groups, permutation groups, group of arithmetical functions, matrix groups and linear groups), Lagrange’s theorem, normal subgroups, factor groups, derived subgroup, homomorphism, isomorphism and automorphism of groups have been discussed in depth. Covering all major topics, this book is targeted to undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.

Introduction to Fuzzy Sets, Fuzzy Logic, and Fuzzy Control Systems
Introduction to Fuzzy Sets, Fuzzy Logic, and Fuzzy Control Systems

Author: Guanrong Chen

Publisher: CRC Press

Published: 2000-11-27

Total Pages: 329

ISBN-13: 1420039814

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In the early 1970s, fuzzy systems and fuzzy control theories added a new dimension to control systems engineering. From its beginnings as mostly heuristic and somewhat ad hoc, more recent and rigorous approaches to fuzzy control theory have helped make it an integral part of modern control theory and produced many exciting results. Yesterday's "art

Fuzzy Logic with Engineering Applications
Fuzzy Logic with Engineering Applications

Author: Timothy J. Ross

Publisher: John Wiley & Sons

Published: 2009-12-01

Total Pages: 610

ISBN-13: 0470748516

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The first edition of Fuzzy Logic with Engineering Applications (1995) was the first classroom text for undergraduates in the field. Now updated for the second time, this new edition features the latest advances in the field including material on expansion of the MLFE method using genetic algorithms, cognitive mapping, fuzzy agent-based models and total uncertainty. Redundant or obsolete topics have been removed, resulting in a more concise yet inclusive text that will ensure the book retains its broad appeal at the forefront of the literature. Fuzzy Logic with Engineering Applications, 3rd Edition is oriented mainly towards methods and techniques. Every chapter has been revised, featuring new illustrations and examples throughout. Supporting MATLAB code is downloadable at www.wileyeurope.com/go/fuzzylogic. This will benefit student learning in all basic operations, the generation of membership functions, and the specialized applications in the latter chapters of the book, providing an invaluable tool for students as well as for self-study by practicing engineers.

Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures
Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures

Author: Jana, Chiranjibe

Publisher: IGI Global

Published: 2019-10-25

Total Pages: 439

ISBN-13: 1799801926

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In the world of mathematics, the study of fuzzy relations and its theories are well-documented and a staple in the area of calculative methods. What many researchers and scientists overlook is how fuzzy theory can be applied to industries outside of arithmetic. The framework of fuzzy logic is much broader than professionals realize. There is a lack of research on the full potential this theoretical model can reach. The Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures provides emerging research exploring the theoretical and practical aspects of fuzzy set theory and its real-life applications within the fields of engineering and science. Featuring coverage on a broad range of topics such as complex systems, topological spaces, and linear transformations, this book is ideally designed for academicians, professionals, and students seeking current research on innovations in fuzzy logic in algebra and other matrices.