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 vii
... Fuzzy Control 223 11.1 Origin and Objective 223 11.2 Automatic Control 225 11.3 The Fuzzy Controller 226 11.4 Types of Fuzzy Controllers 228 11.4.1 The Mamdani Controller 228 11.4.2 Defuzzification 232 11.4.3 The Sugeno Controller 239 ...
... Fuzzy Control 223 11.1 Origin and Objective 223 11.2 Automatic Control 225 11.3 The Fuzzy Controller 226 11.4 Types of Fuzzy Controllers 228 11.4.1 The Mamdani Controller 228 11.4.2 Defuzzification 232 11.4.3 The Sugeno Controller 239 ...
Page viii
Hans-Jürgen Zimmermann. 14 Decision Making in Fuzzy Environments 329 14.1 Fuzzy Decisions 329 14.2 Fuzzy Linear ... Control Flexible Manufacturing Systems 15.3.3.3 Aggregate Production and Inventory Planning 15.3.3.4 Fuzzy ...
Hans-Jürgen Zimmermann. 14 Decision Making in Fuzzy Environments 329 14.1 Fuzzy Decisions 329 14.2 Fuzzy Linear ... Control Flexible Manufacturing Systems 15.3.3.3 Aggregate Production and Inventory Planning 15.3.3.4 Fuzzy ...
Page x
... fuzzy controller . Figure 11-3 Aggregation of linguistic variables . Portfolio with linguistic input . Structure of ESP . Automatic feedback control . Linguistic variable " Temperature " . 218 220 221 225 227 229 Figure 11-4 Figure 11-5 ...
... fuzzy controller . Figure 11-3 Aggregation of linguistic variables . Portfolio with linguistic input . Structure of ESP . Automatic feedback control . Linguistic variable " Temperature " . 218 220 221 225 227 229 Figure 11-4 Figure 11-5 ...
Page xi
... Fuzzy classification of continuous process . 325 Figure 13-31 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 ...
... Fuzzy classification of continuous process . 325 Figure 13-31 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 ...
Page xvii
... control 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 ...
... control 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 ...
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