This introduction to fuzzy set theory and its multitude of applications seeks to balance the character of the book with the dynamic nature of the research. This edition includes new chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research. Existing material has been updated, and extended exercises are included.

Inhalt

List of Figures. List of Tables. Foreword. Preface. Preface to the Fourth Edition. 1. Introduction to Fuzzy Sets. Part I: Fuzzy Mathematics. 2. Fuzzy Sets - Basic Definitions. 3. Extensions. 4. Fuzzy Measures and Measures of Fuzziness. 5. The Extension Principle and Applications. 6. Fuzzy Relations and Fuzzy Graphs. 7. Fuzzy Analysis. 8. Uncertainty Modeling. Part II: Applications of Fuzzy Set Theory. 9. Fuzzy Logic and Approximate Reasoning. 10. Fuzzy Sets and Expert Systems. 11. Fuzzy Control. 12. Fuzzy Data Bases and Queries. 13. Fuzzy Data Analysis. 14. Decision Making in Fuzzy Environments. 15. Applications of Fuzzy Sets in Engineering and Management. 16. Empirical Research in Fuzzy Set Theory. 17. Future Perspectives.