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  • Textbook
  • © 2002

An Introduction to Fuzzy Logic and Fuzzy Sets

  • Basic text book with short sections, many figures, problem sets at the end of sections
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advances in Intelligent and Soft Computing (AINSC, volume 13)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-x
  2. Introduction

    • James J. Buckley, Esfandiar Eslami
    Pages 1-3
  3. Logic

    • James J. Buckley, Esfandiar Eslami
    Pages 5-19
  4. Fuzzy Sets

    • James J. Buckley, Esfandiar Eslami
    Pages 21-53
  5. Fuzzy Numbers

    • James J. Buckley, Esfandiar Eslami
    Pages 55-94
  6. Fuzzy Equations

    • James J. Buckley, Esfandiar Eslami
    Pages 95-107
  7. Fuzzy Inequalities

    • James J. Buckley, Esfandiar Eslami
    Pages 109-114
  8. Fuzzy Relations

    • James J. Buckley, Esfandiar Eslami
    Pages 115-139
  9. Fuzzy Functions

    • James J. Buckley, Esfandiar Eslami
    Pages 141-174
  10. Fuzzy Plane Geometry

    • James J. Buckley, Esfandiar Eslami
    Pages 175-183
  11. Fuzzy Trigonometry

    • James J. Buckley, Esfandiar Eslami
    Pages 185-194
  12. Systems of Fuzzy Linear Equations

    • James J. Buckley, Esfandiar Eslami
    Pages 195-202
  13. Possibility Theory

    • James J. Buckley, Esfandiar Eslami
    Pages 203-213
  14. Neural Nets

    • James J. Buckley, Esfandiar Eslami
    Pages 215-230
  15. Approximate Reasoning

    • James J. Buckley, Esfandiar Eslami
    Pages 231-252
  16. Genetic Algorithms

    • James J. Buckley, Esfandiar Eslami
    Pages 253-260
  17. Fuzzy Optimization

    • James J. Buckley, Esfandiar Eslami
    Pages 261-275
  18. Back Matter

    Pages 277-285

About this book

This book is intended to be an undergraduate introduction to the theory of fuzzy sets. We envision, sometime in the future, a curriculum in fuzzy sys­ tems theory, which could be in computer /information sciences, mathematics, engineering or economics (business, finance), with this book as the starting point. It is not a book for researchers but a book for beginners where you learn the basics. This course would be analogous to a pre-calculus course where a student studies algebra, functions and trigonometry in preparation for more advanced courses. Chapters 3 through 11 are on fuzzy algebra, fuzzy functions, fuzzy trigonometry, fuzzy geometry, and solving fuzzy equations. However, after this course the student doesn't go on to calculus but to more specialized courses in fuzzy systems theory like fuzzy clustering, fuzzy pattern recogni­ tion, fuzzy database, fuzzy image processing and computer vision, robotics, intelligent agents, soft computing, fuzzy rule based systems (control, expert systems), fuzzy decision making, applications to operations research, fuzzy mathematics, fuzzy systems modeling, etc. Therefore, very little of most of these topics are included in this book. There are many new topics included in this book. Let us point out some of them here: (1) mixed fuzzy logic (Section 3.5); (2) three methods of solving fuzzy equation/problems (Chapter 5); (3) solving fuzzy inequalities (Chapter 6); (4) inverse fuzzy functions (Section 8.5); (5) fuzzy plane geometry (Chap­ ter 9); (6) fuzzy trigonometry (Chapter 10); and (7) fuzzy optimization based on genetic algorithms (Chapter 16).

Reviews

From the reviews:

"A well written book which enables to the reader fundamental orientation in the fuzzy logic. From the educational point of view the book is very well organized. … Majority of chapters begin with several motivation examples and at the end of each chapter there are a lot of solved and unsolved examples. … dedicated to undergraduate students as a textbook. … it may be suitable for readers from the application sphere who are not professionals in fuzzy logic but utilize some fuzzy methods … ." (Petr Vysoky, Neural Network World, Vol. 13 (4), 2003)

"The book is an undergraduate textbook covering as an impressively broad range of topics … . The book is well-written … each of the chapters providing basic definitions, examples, and exercises. … The book is intended as an introductory textbook on the theory of fuzzy sets, functioning as the basis for a curriculum in fuzzy systems. … I would recommend the book to the reader who wants to get an introductory overview of how much of mathematics can be fuzzified." (Marc Pauly, Expert Update, Vol. 5 (2), 2002)

"This book is an undergraduate introduction to the theory of fuzzy sets, giving basic information for beginners. … Each chapter ends with a set of relevant problems and exercises. … The book can be recommended as a good textbook for students and beginners in computer science, engineering or economics interested in non-probabilistic uncertainty modeling." (R. Mesiar, Zentralblatt MATH, Vol. 985, 2002)

Authors and Affiliations

  • Mathematics Department, University of Alabama at Birmingham, Birmingham, USA

    James J. Buckley

  • Department of Mathematics, Shahid Bahonar University, Kerman, Iran

    Esfandiar Eslami

Bibliographic Information

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access