An Introduction to Fuzzy Sets: Analysis and Design

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MIT Press, 1998 - Computers - 465 pages
3 Reviews
"The Pedrycz and Gomide text is superb in all respects. Its exposition of fuzzy-neural networks and fuzzy-genetic systems adds much to its value as a textbook"
-- Lotfi A. Zadeh, University of California, Berkeley. The concept of fuzzy sets is one of the most fundamental and influential tools in computational intelligence. Fuzzy sets can provide solutions to a broad range of problems of control, pattern classification, reasoning, planning, and computer vision. This book bridges the gap that has developed between theory and practice. The authors explain what fuzzy sets are, why they work, when they should be used (and when they shouldn't), and how to design systems using them.

The authors take an unusual top-down approach to the design of detailed algorithms. They begin with illustrative examples, explain the fundamental theory and design methodologies, and then present more advanced case studies dealing with practical tasks. While they use mathematics to introduce concepts, they ground them in examples of real-world problems that can be solved through fuzzy set technology. The only mathematics prerequisites are a basic knowledge of introductory calculus and linear algebra.

 

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Contents

Basic Notions and Concepts of Fuzzy Sets
3
Fuzzy Set Operations
31
InformationBased Characterization of Fuzzy Sets
59
Terms of the Codebook
74
Equations
103
References
126
References
150
Fuzzy Sets and Probability
151
Fuzzy Measures and Fuzzy Integrals
205
RuleBased Computations
221
Fuzzy Neurocomputation
265
Fuzzy Evolutionary Computation
303
Fuzzy Modeling
327
Methodology
361
Case Studies
399
Index
463

Linguistic Variables
165
Fuzzy Logic
181

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About the author (1998)

Witold Pedrycz is Professor and Chair of Electrical and Computer Engineering at the University of Alberta.

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