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 xvii
... expert systems , logic , management science , operations research , pattern recognition , and robotics . Theoretical advances have been made in many directions . In fact it is extremely difficult for a newcomer to the field or for some ...
... expert systems , logic , management science , operations research , pattern recognition , and robotics . Theoretical advances have been made in many directions . In fact it is extremely difficult for a newcomer to the field or for some ...
Page xix
... expert system shells with capabilities to process fuzzy information , and fuzzy decision support systems have become known and have partly already proven their supe- riority over more traditional tools . One thing , however , does not ...
... expert system shells with capabilities to process fuzzy information , and fuzzy decision support systems have become known and have partly already proven their supe- riority over more traditional tools . One thing , however , does not ...
Page xx
Hans-Jürgen Zimmermann. [ Zimmermann 1987 ] focuses on decision making and expert systems and intro- duces fuzzy set theory only where and to the extent that it is needed , this book tries to offer a didactically prepared text which ...
Hans-Jürgen Zimmermann. [ Zimmermann 1987 ] focuses on decision making and expert systems and intro- duces fuzzy set theory only where and to the extent that it is needed , this book tries to offer a didactically prepared text which ...
Page xxv
... expert systems was extended because this component has gained importance in practice . In chapter 11 primarily a section for defuzzification has been added for the same reason . Chapter 12 has been added because the application of fuzzy ...
... expert systems was extended because this component has gained importance in practice . In chapter 11 primarily a section for defuzzification has been added for the same reason . Chapter 12 has been added because the application of fuzzy ...
Page 7
... Expert system technology has already been used since two decades and has led in many cases to disappointment . One of the reasons for this might be , that expert systems in their inference engines , when they are based on dual logic ...
... Expert system technology has already been used since two decades and has led in many cases to disappointment . One of the reasons for this might be , that expert systems in their inference engines , when they are based on dual logic ...
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