Fuzzy Set Theory—and Its ApplicationsSince 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. |
From inside the book
Page vi
... Applications of Fuzzy Set Theory 139 9 9.1 Fuzzy Logic and Approximate Reasoning Linguistic Variables 141 141 9.2 Fuzzy Logic 149 9.2.1 Classical Logics Revisited 149 9.2.2 Linguistic Truth Tables 153 9.3 Approximate and Plausible ...
... Applications of Fuzzy Set Theory 139 9 9.1 Fuzzy Logic and Approximate Reasoning Linguistic Variables 141 141 9.2 Fuzzy Logic 149 9.2.1 Classical Logics Revisited 149 9.2.2 Linguistic Truth Tables 153 9.3 Approximate and Plausible ...
Page xi
... Application of DataEngine for acoustic quality control . 327 Figure 14-1 A classical decision under certainty . 330 Figure 14-2 A fuzzy decision . 332 Figure 14-3 Optimal dividend as maximizing decision . 333 Figure 14-4 Feasible ...
... Application of DataEngine for acoustic quality control . 327 Figure 14-1 A classical decision under certainty . 330 Figure 14-2 A fuzzy decision . 332 Figure 14-3 Optimal dividend as maximizing decision . 333 Figure 14-4 Feasible ...
Page xviii
... application . It is intended to provide extensive coverage of the theoretical and applicational approaches to fuzzy sets . Sophisticated formalisms have not been included . I have tried to present the basic theory and its extensions in ...
... application . It is intended to provide extensive coverage of the theoretical and applicational approaches to fuzzy sets . Sophisticated formalisms have not been included . I have tried to present the basic theory and its extensions in ...
Page xxiii
... application of fuzzy set theory only . Apart from the convergence of above mentioned three areas two main devel- opments can probably be observed for fuzzy sets : 1. There is a widening gap between the mathematics of fuzzy set theory ...
... application of fuzzy set theory only . Apart from the convergence of above mentioned three areas two main devel- opments can probably be observed for fuzzy sets : 1. There is a widening gap between the mathematics of fuzzy set theory ...
Page xxiv
... Applications Solutions 1965 Fuzzy Control ( Cement Kin ) 1975 Fuzzy Fuzzy Clustering Fuzzy Subway ( Sendai ) Fuzzy Video - Recorder Fuzzy Washing - Machines 1. Fuzzy Chip Fuzzy C 1985 TIL - Shell Fuzzy Neuro - Systems Computing with ...
... Applications Solutions 1965 Fuzzy Control ( Cement Kin ) 1975 Fuzzy Fuzzy Clustering Fuzzy Subway ( Sendai ) Fuzzy Video - Recorder Fuzzy Washing - Machines 1. Fuzzy Chip Fuzzy C 1985 TIL - Shell Fuzzy Neuro - Systems Computing with ...
Contents
1 | |
8 | |
22 | |
4 | 44 |
The Extension Principle and Applications | 54 |
Fuzzy Relations on Sets and Fuzzy Sets | 71 |
3 | 82 |
7 | 88 |
Applications of Fuzzy Set Theory | 139 |
3 | 154 |
4 | 160 |
5 | 169 |
Fuzzy Sets and Expert Systems | 185 |
Fuzzy Control | 223 |
Fuzzy Data Bases and Queries | 265 |
Decision Making in Fuzzy Environments | 329 |
3 | 95 |
4 | 105 |
2 | 122 |
4 | 131 |
Applications of Fuzzy Sets in Engineering and Management | 371 |
Empirical Research in Fuzzy Set Theory | 443 |
Future Perspectives | 477 |
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Common terms and phrases
a-level aggregation algebraic algorithm applications of fuzzy approach approximately areas base basic Bezdek chapter classical computational concepts considered constraints crisp criteria customers data analysis DataEngine decision defined definition defuzzification degree of membership described determine domain Dubois and Prade elements engineering example expert systems feature formal Fril fuzzy c-means fuzzy clustering fuzzy control fuzzy control systems fuzzy function fuzzy graph fuzzy logic fuzzy measures fuzzy numbers fuzzy relation fuzzy set Ć fuzzy set theory goal inference inference engine input integral intersection interval linear programming linguistic variable Mamdani mathematical measure of fuzziness membership function methods min-operator objective function operators optimal parameters possibility distribution probability probability theory problem properties respect rules scale level scheduling semantic solution structure Sugeno t-conorms t-norms Table tion trajectories truth tables truth values uncertainty vector x₁ Yager Zadeh Zimmermann µĆ(x µµ(x