Fuzzy Set Theory — and Its Applications

✍ Scribed by H.-J. Zimmermann (auth.)

• Publisher: Springer Netherlands
• Year: 1991
• Tongue: English
• Leaves: 407
• Edition: 2
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xxi
Introduction to Fuzzy Sets....Pages 1-7
Front Matter....Pages 9-9
Fuzzy Sets—Basic Definitions....Pages 11-21
Extensions....Pages 23-44
Fuzzy Measures and Measures of Fuzziness....Pages 45-51
The Extension Principle and Applications....Pages 53-67
Fuzzy Relations and Fuzzy Graphs....Pages 69-90
Fuzzy Analysis....Pages 91-108
Possibility Theory, Probability Theory, and Fuzzy Set Theory....Pages 109-127
Front Matter....Pages 129-129
Fuzzy Logic and Approximate Reasoning....Pages 131-169
Expert Systems and Fuzzy Control....Pages 171-215
Pattern Recognition....Pages 217-240
Decision Making in Fuzzy Environments....Pages 241-282
Fuzzy Set Models in Operations Research....Pages 283-332
Empirical Research in Fuzzy Set Theory....Pages 333-367
Future Perspectives....Pages 369-372
Back Matter....Pages 373-399

✦ Subjects

Operation Research/Decision Theory; Mathematical Logic and Foundations; Artificial Intelligence (incl. Robotics)