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First Course on Fuzzy Theory and Applications

  • Textbook
  • © 2005

Overview

Authors:
  1. Kwang H. Lee

    1. Advanced Institute of Science and Technology, KAIST, Taejon, Republic of South Korea

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  • Easily accessible introduction to fuzzy theory and its applications
  • Provides basic and concrete concepts of the field in a self-contained, condensed and understandable style

Part of the book series: Advances in Intelligent and Soft Computing (AINSC, volume 27)

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-X
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  2. Fuzzy Sets

    Pages 1-25

  3. The Operation of Fuzzy Set

    Pages 27-52

  4. Fuzzy Relation and Composition

    Pages 53-90

  5. Fuzzy Graph and Relation

    Pages 91-128

  6. Fuzzy Number

    Pages 129-151

  7. Fuzzy Function

    Pages 153-170

  8. Probabilisy and Uncertainty

    Pages 171-191

  9. Fuzzy Logic

    Pages 193-216

  10. Fuzzy Inference

    Pages 217-252

  11. Fuzzy Control and Fuzzy Expert Systems

    Pages 253-283

  12. Fusion of Fuzzy System and Neural Networks

    Pages 285-308

  13. Fusion of Fuzzy Systems and Genetic Algorithms

    Pages 309-324

  14. Back Matter

    Pages 325-336
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Keywords

About this book

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.

Reviews

From the reviews: “This book is published under the Springer series Advances in Soft Computing, which covers a variety of topics, such as fuzzy sets, rough sets, neural networks, and evolutionary computations. … contains numerous illustrations of the concepts, examples, and exercises at the end of each chapter. … an excellent book for reference as well as for studying during a course. … This book is intended for an introductory graduate or advanced undergraduate course … recommended for students, scientists, engineers and professionals in the field for self-study.” (Zachary Richards and Haisam Osman, International Journal of Acoustics and Vibration, Vol. 14 (4), 2009)

Authors and Affiliations

  • Advanced Institute of Science and Technology, KAIST, Taejon, Republic of South Korea

    Kwang H. Lee

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