Fuzzy Set Theory - and Its Applications

Since its inception 20 years ago the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of this theory can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, pattern recognition, robotics and others.
Theoretical advances, too, have been made in many directions, and a gap has arisen between advanced theoretical topics and applications, which often use the theory at a rather elementary level. The primary goal of this book is to close this gap - to provide a textbook for courses in fuzzy set theory and a book that can be used as an introduction.
This revised book updates the research agenda, with the chapters of possibility theory, fuzzy logic and approximate reasoning, expert systems and control, decision making and fuzzy set models in operations research being restructured and rewritten. Exercises have been added to almost all chapters and a teacher's manual is available upon request.

Autorentext
Prof. em. Dr. Drs. h. c. Hans-Jürgen Zimmermann war bis 1999 Inhaber des Lehrstuhls für Unternehmensforschung (Operations Research) an der RWTH Aachen und ist Wissenschaftlicher Leiter der ELITE (European Laboratory for Intelligent Techniques Engineering) sowie wissenschaftlicher Beirat des Instituts für Operations Research und Management, Inform GmbH, in Aachen.

Inhalt
1 Introduction to Fuzzy Sets.- 2 Fuzzy SetsBasic 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.- 9 Fuzzy Logic and Approximate Reasoning.- 10 Expert Systems and Fuzzy Control.- 11 Pattern Recognition.- 12 Decision Making in Fuzzy Environments.- 13 Fuzzy Set Models in Operations Research.- 14 Empirical Research in Fuzzy Set Theory.- 15 Future Perspectives.