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 vii
... 317 13.4.2 Data Engine 318 13.5 Applications of FDA 322 13.5.1 Maintenance Management in Petrochemical Plants 322 13.5.2 Acoustic Quality Control 323 14 Decision Making in Fuzzy Environments 329 14.1 Fuzzy Decisions CONTENTS vii.
... 317 13.4.2 Data Engine 318 13.5 Applications of FDA 322 13.5.1 Maintenance Management in Petrochemical Plants 322 13.5.2 Acoustic Quality Control 323 14 Decision Making in Fuzzy Environments 329 14.1 Fuzzy Decisions CONTENTS vii.
Page viii
Hans-Jürgen Zimmermann. 14 Decision Making in Fuzzy Environments 329 14.1 Fuzzy Decisions 329 14.2 Fuzzy Linear ... Decision Making ( MODM ) 353 14.4.2 Multi Attributive Decision Making ( MADM ) 359 15 Applications of Fuzzy Sets in ...
Hans-Jürgen Zimmermann. 14 Decision Making in Fuzzy Environments 329 14.1 Fuzzy Decisions 329 14.2 Fuzzy Linear ... Decision Making ( MODM ) 353 14.4.2 Multi Attributive Decision Making ( MADM ) 359 15 Applications of Fuzzy Sets in ...
Page xi
... decision under certainty . 330 Figure 14-2 A fuzzy decision . 332 Figure 14-3 Optimal dividend as maximizing decision . 333 Figure 14-4 Feasible regions for μμ ( x ) = 0 and μμ ( x ) = 1 . 344 Figure 14-5 Fuzzy decision . 345 Figure 14 ...
... decision under certainty . 330 Figure 14-2 A fuzzy decision . 332 Figure 14-3 Optimal dividend as maximizing decision . 333 Figure 14-4 Feasible regions for μμ ( x ) = 0 and μμ ( x ) = 1 . 344 Figure 14-5 Fuzzy decision . 345 Figure 14 ...
Page xvi
... decision analysis . As one of the leading contributors to and practitioners of the use of fuzzy sets in decision analysis , Professor Zimmermann is uniquely qualified to address the complex issues arising in fuzzy optimization problems ...
... decision analysis . As one of the leading contributors to and practitioners of the use of fuzzy sets in decision analysis , Professor Zimmermann is uniquely qualified to address the complex issues arising in fuzzy optimization problems ...
Page xvii
... decision making [ Kickert 1978 ] . Even the excellent survey book by Dubois and Prade [ 1980a ] is primarily intended as a research compendium for insiders rather than an introduction to fuzzy set theory or a textbook . This lack of a ...
... decision making [ Kickert 1978 ] . Even the excellent survey book by Dubois and Prade [ 1980a ] is primarily intended as a research compendium for insiders rather than an introduction to fuzzy set theory or a textbook . This lack of a ...
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