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 Logic, Third Edition

A First Course in Fuzzy Logic, Third Edition

Author: Hung T. Nguyen

Publisher: CRC Press

Published: 1999-07-21

Total Pages: 396

ISBN-13: 9780849316593

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The second edition of the popular A First Course in Fuzzy Logic will continue to provide the ideal introduction to the theory and applications of fuzzy logic. The authors provide a firm mathematical basis for the calculus of fuzzy concepts-necessary to design intelligent systems-and give the student a solid background for further studies and real-world applications. This new edition provides many new exercises designed to enhance the reader's understanding of the concepts. The authors have expanded on the algebra background needed for the more advanced topics, and include significant new material on basic connectives and the algebraic properties of fuzzy logic, rough sets, conditional events, distributions of random sets, and derivatives of fuzzy measures. With its comprehensive updates, A First Course in Fuzzy Logic, Second Edition presents all the background necessary for students to begin using fuzzy logic in its many-and rapidly growing-applications.


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.


Fuzzy Logic with Engineering Applications

Fuzzy Logic with Engineering Applications

Author: Timothy J. Ross

Publisher: John Wiley & Sons

Published: 2005-04-08

Total Pages: 652

ISBN-13: 0470860766

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Fuzzy logic refers to a large subject dealing with a set of methods to characterize and quantify uncertainty in engineering systems that arise from ambiguity, imprecision, fuzziness, and lack of knowledge. Fuzzy logic is a reasoning system based on a foundation of fuzzy set theory, itself an extension of classical set theory, where set membership can be partial as opposed to all or none, as in the binary features of classical logic. Fuzzy logic is a relatively new discipline in which major advances have been made over the last decade or so with regard to theory and applications. Following on from the successful first edition, this fully updated new edition is therefore very timely and much anticipated. Concentration on the topics of fuzzy logic combined with an abundance of worked examples, chapter problems and commercial case studies is designed to help motivate a mainstream engineering audience, and the book is further strengthened by the inclusion of an online solutions manual as well as dedicated software codes. Senior undergraduate and postgraduate students in most engineering disciplines, academics and practicing engineers, plus some working in economics, control theory, operational research etc, will all find this a valuable addition to their bookshelves.


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.


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


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 Control and Identification

Fuzzy Control and Identification

Author: John H. Lilly

Publisher: John Wiley & Sons

Published: 2011-03-10

Total Pages: 199

ISBN-13: 1118097815

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This book gives an introduction to basic fuzzy logic and Mamdani and Takagi-Sugeno fuzzy systems. The text shows how these can be used to control complex nonlinear engineering systems, while also also suggesting several approaches to modeling of complex engineering systems with unknown models. Finally, fuzzy modeling and control methods are combined in the book, to create adaptive fuzzy controllers, ending with an example of an obstacle-avoidance controller for an autonomous vehicle using modus ponendo tollens logic.


Fuzzy Logic and Mathematics

Fuzzy Logic and Mathematics

Author: Radim Bělohlávek

Publisher: Oxford University Press

Published: 2017

Total Pages: 545

ISBN-13: 0190200014

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The main part of the book is a comprehensive overview of the development of fuzzy logic and its applications in various areas of human affair since its genesis in the mid 1960s. This overview is then employed for assessing the significance of fuzzy logic and mathematics based on fuzzy logic.


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.