Fuzzy Set Theory—and Its Applications (3rd Ed., 3rd ed. 1996. Softcover reprint of the original 3rd ed. 1996)

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Language: English

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435 p. · 15.5x23.5 cm · Paperback
Fuzzy Set Theory - And Its Applications, Third Edition is a textbook for courses in fuzzy set theory. It can also be used as an introduction to the subject. The character of a textbook is balanced with the dynamic nature of the research in the field by including many useful references to develop a deeper understanding among interested readers.
The book updates the research agenda (which has witnessed profound and startling advances since its inception some 30 years ago) with 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. All chapters have been updated. Exercises are included.
List of figures. List of tables. Foreword. Preface. Preface to the Third Edition. 1. Introduction to fuzzy sets. Part One: 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. Possibility theory, probability theory, and fuzzy set theory. Part Two: Applications of fuzzy set theory. 9. Fuzzy logic and approximate reasoning. 10. Fuzzy sets and expert systems. 11. Fuzzy control. 12. Fuzzy data analysis. 13. Decision making in fuzzy environments. 14. Fuzzy set models in operations research. 15. Empirical research in fuzzy set theory. 16. Future perspectives. Bibliography. Index.
The character of this textbook is balanced with the dynamic nature of the research in the field by including many useful references to develop a deeper understanding among interested readers. It updates the research agenda with 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. All chapters have been updated. Exercises are included.