Fuzzy Set Theory—and Its Applications

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Springer Science & Business Media, Jun 27, 2011 - Mathematics - 514 pages
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.

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Contents

Fuzzy Mathematics
9
Fuzzy Control
11
Basic SetTheoretic Operations for Fuzzy Sets
16
Extensions
22
SetTheoretic Operations
29
Criteria for Selecting Appropriate Aggregation Operators
43
The Extension Principle and Applications
54
Special Extended Operations
61
Applicationoriented Modeling of Uncertainty
111
Linguistic Variables
140
Fuzzy Data Bases and Queries
265
Decision Making in Fuzzy Environments
329
Applications of Fuzzy Sets in Engineering and Management
371
Empirical Research in Fuzzy Set Theory
443
Future Perspectives
477
181
485

Fuzzy Relations and Fuzzy Graphs
71
Fuzzy Functions on Fuzzy Sets
92

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