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 xv
... provides an affirmative answer to this ques- tion . His comprehensive exposition of both the theory and its applications explains in clear terms the basic concepts that underlie the theory and how they relate to their classical ...
... provides an affirmative answer to this ques- tion . His comprehensive exposition of both the theory and its applications explains in clear terms the basic concepts that underlie the theory and how they relate to their classical ...
Page xvi
... providing an excellent introduction to the theory of fuzzy sets — an introduction that makes it possible for an uninitiated reader to obtain a clear view of the theory and learn about its applications in a wide variety of fields . The ...
... providing an excellent introduction to the theory of fuzzy sets — an introduction that makes it possible for an uninitiated reader to obtain a clear view of the theory and learn about its applications in a wide variety of fields . The ...
Page xvii
... provide a textbook for courses in fuzzy set theory and a book that can be used as an introduction . One of the areas in which fuzzy sets have been applied most extensively is in modeling for managerial decision making . Therefore , this ...
... provide a textbook for courses in fuzzy set theory and a book that can be used as an introduction . One of the areas in which fuzzy sets have been applied most extensively is in modeling for managerial decision making . Therefore , this ...
Page xviii
... 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 enough detail to be comprehended ...
... 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 enough detail to be comprehended ...
Page xxi
... providing numerous software and hard- ware tools that considerably improve the design of fuzzy systems and make them more applicable in practice . Since 1994 , fuzzy set theory , artificial neural nets , and genetic algorithms have also ...
... providing numerous software and hard- ware tools that considerably improve the design of fuzzy systems and make them more applicable in practice . Since 1994 , fuzzy set theory , artificial neural nets , and genetic algorithms have also ...
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 à 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 µÃ(x µµ(x