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
Results 11-15 of 89
Page 3
... theory and statistics . This Kolmogoroff - type probability is essentially frequentistic and is based on set - theoretic considerations . Koopman's probability refers to the truth of statements and therefore is based on ... FUZZY SETS 3.
... theory and statistics . This Kolmogoroff - type probability is essentially frequentistic and is based on set - theoretic considerations . Koopman's probability refers to the truth of statements and therefore is based on ... FUZZY SETS 3.
Page 5
... theory and fuzzy set theory . We shall consider this fact in more detail in chapter 8 . In chapter 16 we will return to this figure and elaborate on the type of aggregation . 1.2 Fuzzy Set Theory The first publications in fuzzy set ...
... theory and fuzzy set theory . We shall consider this fact in more detail in chapter 8 . In chapter 16 we will return to this figure and elaborate on the type of aggregation . 1.2 Fuzzy Set Theory The first publications in fuzzy set ...
Page 6
... Fuzzy set theory provides a strict mathematical framework ( there is nothing fuzzy about fuzzy set theory ! ) in which vague conceptual phenomena can be precisely and rigorously studied . It can also be considered as a modeling language ...
... Fuzzy set theory provides a strict mathematical framework ( there is nothing fuzzy about fuzzy set theory ! ) in which vague conceptual phenomena can be precisely and rigorously studied . It can also be considered as a modeling language ...
Page 7
... fuzzy set theory is certainly also one of the theories which can be used to model specific types of uncertainty under specific types of circumstances . It might then compete with other theories , but it might also be the most appro ...
... fuzzy set theory is certainly also one of the theories which can be used to model specific types of uncertainty under specific types of circumstances . It might then compete with other theories , but it might also be the most appro ...
Page 9
... theory of fuzzy sets . Chapter 2 provides basic definitions of fuzzy sets and algebraic oper- ations that will then serve for further considerations . Even though we shall use one version of terminology and one set ... fuzzy sets will be ...
... theory of fuzzy sets . Chapter 2 provides basic definitions of fuzzy sets and algebraic oper- ations that will then serve for further considerations . Even though we shall use one version of terminology and one set ... fuzzy sets will be ...
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 |
Other editions - View all
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