Chapter 1.FUZZY SETS 11.1 Sets 11.2 Operation of Sets - -. -
31.3 Characteristics of Crisp Set 51.4 Definition of Fuzzy Set -
71.5 Expanding Concepts of Fuzzy Set - 141.6 Standard Operation of
Fuzzy Set 21[SUMMARY] 22[EXERCISES] -- 24
Chapter 2.THE OPERATION OF FUZZY SET 272.1 Standard Operations
of Fuzzy Set 272.2 Fuzzy Complement 282.3 Fuzzy Union 322.4 Fuzzy
Intersection 352.5 Other Operations In Fuzzy Set 382.6 T-norms and
T-conorms 45[SUMMARY] 47[EXERCISES] 51
Chapter 3.FUZZY RELATION AND COMPOSITION 533.1 Crisp Relation
533.2 Properties of Relation on a Single Set - 623.3 Fuzzy Relation
683.4 Extension of Fuzzy Set - 80[SUMMARY] - - 86[EXERCISES] -
88
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Chapter 4.F U Z Z Y G R A P H A N D R E L A T I O N 9 14.1 Fuzzy
Graph 914.2 Characteristics of Fuzzy Relation - 1034.3
Classification of Fuzzy Relation - 1084.4 Other Fuzzy Relations -
116[SUMM ARY] - - 124[EXERCISES] 126
Chapter 5.F U Z Z Y N U M B E R 1295.1 Concept of Fuzzy Number
1295.2 Operation of Fuzzy Number 1325.3 Triangular Fuzzy Number -
1375.4 Other Types of Fuzzy Number 145[SUMM ARY] -- 149[EXERCISES]
- 150
Chapter 6.FUZZY FUNCTION 1536.1 Kinds of Fuzzy Function 1536.2
Fuzzy Extrema of Function 1586.3 Integration and Differenciation of
Fuzzy Function 163[SUMM ARY] - - 168[EXERCISES] 169
Chapter 7.P R O B A B I L IT Y A N D U N C E R T A I N T Y
1717.1 Probability and Possibility - 1717.2 Fuzzy Event 1747.3
Uncertainty 1797.4 Measure of Fuzziness - 181[SUMM ARY]
189[EXERCISES] 190
Chapter 8.FUZZ Y LOG IC 1938.1 Classical Logic 1938.2 Fuzzy
Logic - 201
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8.3 Linguistic Variable 2048.4 Fuzzy Truth Qualifier -- - 2068.5
Representation of Fuzzy Rule - 210[SUMMAR Y] - 213[EXERCISES] -
215
Chapter 9.FUZZY INFERENCE 2179.1 Com position of Rules - 2179.2
Fuzzy Rules and Implication 2219.3 Inference Mechanism 2249.4
Inference Methods 236[SUMMARY] 247[EXERCISES] - 250
Chapter 10.FUZZY CONTROL AND FUZZY EXPERT SYSTEMS 25310.1 Fuzzy
Logic Controller 25310.2 Fuzzification Interface Com ponent -
25510.3 Know ledge Base Com ponent 25710.4 Inference (Decision
Making Logic) - 26510.5 Defuzzification 26910.6 Design Procedure of
Fuzzy Logic Controller 27210.7 Application Example of FLC Design
27310.8 Fuzzy Expert Systems ~ 277[SUMMARY] 280[EXERCISES] -
282
Chapter 11.FUSION OF FUZZY SYSTEM AND NEUR AL NETW ORKS 28511.1
Neural Netw orks - 28511.2 Fusion With Neural Ne tworks
290[SUMMARY] 306[EXERCISES] 308
Chapter 12.FUSION OF FUZZY SYSTEM AND GENETIC ALGORITHM S
30912.1 Genetic Algorithms 30912.2 Fusion W ith Genetic Algo rithms
-- 314
