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 viii
... Engineering and Management 371 15.1 Introduction 371 15.2 Engineering Applications 373 15.2.1 Linguistic Evaluation and Ranking of Machine Tools 375 15.2.2 Fault Detection in Gearboxes 381 15.3 Applications in Management 389 15.3.1 15.3 ...
... Engineering and Management 371 15.1 Introduction 371 15.2 Engineering Applications 373 15.2.1 Linguistic Evaluation and Ranking of Machine Tools 375 15.2.2 Fault Detection in Gearboxes 381 15.3 Applications in Management 389 15.3.1 15.3 ...
Page xiii
... engineering . Experimental Data . 374 376 Table 15-3 Surface quality parameters ( output data ) . 376 Table 15-4 Table 15-5a Boundary values of the linguistic variable " significance " . Populations . 378 391 Table 15-8 Table 15-9 Table ...
... engineering . Experimental Data . 374 376 Table 15-3 Surface quality parameters ( output data ) . 376 Table 15-4 Table 15-5a Boundary values of the linguistic variable " significance " . Populations . 378 391 Table 15-8 Table 15-9 Table ...
Page xvii
... engineering , deci- sion theory , 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 ...
... engineering , deci- sion theory , 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 ...
Page xviii
... engineering , and computer science . Even though no specific mathematical background is necessary to understand the books , it is assumed that the students have some background in calculus , set theory , opera- tions research , and ...
... engineering , and computer science . Even though no specific mathematical background is necessary to understand the books , it is assumed that the students have some background in calculus , set theory , opera- tions research , and ...
Page xxv
... engineering intelligence " to " business intelligence " . Of course , the index and the references have also been updated and extended . This time I would like to thank again Kluwer Academic Publishers for giving me the chance of a ...
... engineering intelligence " to " business intelligence " . Of course , the index and the references have also been updated and extended . This time I would like to thank again Kluwer Academic Publishers for giving me the chance of a ...
Contents
1 | |
8 | |
Extensions | 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