Fuzzy Set Theory—and Its Applications

✍ Scribed by H.-J. Zimmermann (auth.)

• Publisher: Springer Netherlands
• Year: 2001
• Tongue: English
• Leaves: 525
• Edition: 4
• Category: Library

✦ Synopsis

Since its inception, the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of fuzzy technology can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, robotics, and others. Theoretical advances have been made in many directions.
The primary goal of Fuzzy Set Theory - and its Applications,Fourth Edition is to provide a textbook for courses in fuzzy set theory, and a book that can be used as an introduction. To balance the character of a textbook with the dynamic nature of this research, many useful references have been added to develop a deeper understanding for the interested reader.
Fuzzy Set Theory - and its Applications, Fourth Edition 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. Chapters have been updated and extended exercises are included.

✦ Table of Contents

Front Matter....Pages i-xxv
Introduction to Fuzzy Sets....Pages 1-8
Front Matter....Pages 9-9
Fuzzy Sets—Basic Definitions....Pages 11-21
Extensions....Pages 23-45
Fuzzy Measures and Measures of Fuzziness....Pages 47-53
The Extension Principle and Applications....Pages 55-69
Fuzzy Relations and Fuzzy Graphs....Pages 71-91
Fuzzy Analysis....Pages 93-109
Uncertainty Modeling....Pages 111-138
Front Matter....Pages 139-139
Fuzzy Logic and Approximate Reasoning....Pages 141-183
Fuzzy Sets and Expert Systems....Pages 185-222
Fuzzy Control....Pages 223-264
Fuzzy Data Bases and Queries....Pages 265-275
Fuzzy Data Analysis....Pages 277-328
Decision Making in Fuzzy Environments....Pages 329-370
Applications of Fuzzy Sets in Engineering and Management....Pages 371-442
Empirical Research in Fuzzy Set Theory....Pages 443-475
Future Perspectives....Pages 477-479
Back Matter....Pages 481-514

✦ Subjects

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