An Introduction to Fuzzy Sets

Analysis and Design

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.

Table of Contents

  1. Contents
  2. Foreword
  3. Preface
  4. 1. Basic Notions and Concepts of Fuzzy Sets
  5. 2. Fuzzy Set Operations
  6. 3. Information-Based Characterization of Fuzzy Sets
  7. 4. Fuzzy Relations and Their Calculus
  8. 5. Fuzzy Numbers
  9. 6. Fuzzy Sets and Probability
  10. 7. Linguistic Variables
  11. 8. Fuzzy Logic
  12. 9. Fuzzy Measures and Fuzzy Integrals
  13. 10. Rule-Based Computations
  14. 11. Fuzzy Neurocomputation
  15. 12. Fuzzy Evolutionary Computation
  16. 13. Fuzzy Modeling
  17. 14. Methodology
  18. 15. Case Studies
  19. Index