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. |
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Page xii
... solution of the numerical example . 384 385 386 386 387 388 388 392 392 394 394 399 Figure 15-17 Structure of OPAL . 402 Figure 15-18 Figure 15-19 Fuzzy sets for the ratio in the " if " part of the rules . Example of an FMS [ Hartley ...
... solution of the numerical example . 384 385 386 386 387 388 388 392 392 394 394 399 Figure 15-17 Structure of OPAL . 402 Figure 15-18 Figure 15-19 Fuzzy sets for the ratio in the " if " part of the rules . Example of an FMS [ Hartley ...
Page xiv
... Solution to transportation problem . Membership grades for slack time and waiting time . Membership grades for conditional parts of the rules . Membership grades for the rules . Definition of linguistic variables [ Rinks 1982 ] ...
... Solution to transportation problem . Membership grades for slack time and waiting time . Membership grades for conditional parts of the rules . Membership grades for the rules . Definition of linguistic variables [ Rinks 1982 ] ...
Page xv
... solution of realistic problems , par- ticularly in the realm of decision analysis , and motivates the theory by applica- tions in which fuzzy sets play an essential role . An important issue in the theory of fuzzy sets that does not ...
... solution of realistic problems , par- ticularly in the realm of decision analysis , and motivates the theory by applica- tions in which fuzzy sets play an essential role . An important issue in the theory of fuzzy sets that does not ...
Page xxiv
... 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 words Control of ...
... 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 words Control of ...
Page 1
... solution is either feasible or not . Precision assumes that the parameters of a model represent exactly either our perception of the phenomenon modeled or the features of the real system that has been modeled . Generally , precision ...
... solution is either feasible or not . Precision assumes that the parameters of a model represent exactly either our perception of the phenomenon modeled or the features of the real system that has been modeled . Generally , precision ...
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