Advanced Fuzzy Systems Design and Applications

Capa
Springer Science & Business Media, 2003 - 271 páginas
Fuzzy rule systems have found a wide range of applications in many fields of science and technology. Traditionally, fuzzy rules are generated from human expert knowledge or human heuristics for relatively simple systems. In the last few years, data-driven fuzzy rule generation has been very active. Compared to heuristic fuzzy rules, fuzzy rules generated from data are able to extract more profound knowledge for more complex systems. This book presents a number of approaches to the generation of fuzzy rules from data, ranging from the direct fuzzy inference based to neural net works and evolutionary algorithms based fuzzy rule generation. Besides the approximation accuracy, special attention has been paid to the interpretabil ity of the extracted fuzzy rules. In other words, the fuzzy rules generated from data are supposed to be as comprehensible to human beings as those generated from human heuristics. To this end, many aspects of interpretabil ity of fuzzy systems have been discussed, which must be taken into account in the data-driven fuzzy rule generation. In this way, fuzzy rules generated from data are intelligible to human users and therefore, knowledge about unknown systems can be extracted.

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Índice

Fuzzy Sets and Fuzzy Systems
1
112 Fuzzy Operations
7
113 Fuzzy Relations
10
114 Measures of Fuzziness
13
115 Measures of Fuzzy Similarity
15
12 Fuzzy Rule Systems
16
122 Fuzzy Rules for Modeling and Control
19
123 Mamdani Fuzzy Rule Systems
25
524 Interpretability Issues
120
53 Modeling and Control Using the Neurofuzzy System
123
532 Dynamic Robot Control
124
54 Neurofuzzy Control of Nonlinear Systems
130
541 Fuzzy Linearization
132
542 Neurofuzzy Identification of the Subsystems
135
543 Design of Controller
137
544 Stability Analysis
138

124 TakagiSugenoKang Fuzzy Rule Systems
26
125 Fuzzy Systems are Universal Approximators
27
13 Interpretability of Fuzzy Rule System
29
132 The Properties of Membership Functions
30
134 Distinguishability of Fuzzy Partitions
33
135 Consistency of Fuzzy Rules
34
136 Completeness and Compactness of Rule Structure
37
142 Knowledge Representation with Fuzzy Preference Models
42
143 Fuzzy Group Decision Making
45
Evolutionary Algorithms
49
221 Representation
50
222 Recombination
53
223 Mutation
54
224 Selection
55
232 Selfadaptation
56
24 Constraints Handling
58
25 Multiobjective Evolution
60
251 Weighted Aggregation Approaches
61
252 Populationbased NonPareto Approaches
62
254 Discussions
63
26 Evolution with Uncertain Fitness Functions
64
263 Robustness Considerations
68
27 Parallel Implementations
69
28 Summary
70
Artificial Neural Networks
73
321 Multilayer Perceptrons
74
322 Radial Basis Function Networks
75
331 Supervised Learning
76
332 Unsupervised Learning
78
333 Reinforcement Learning
79
34 Improvement of Generalization
80
341 Heuristic Methods
81
343 Regularization
82
344 Network Ensembles
84
345 A Priori Knowledge
85
35 Rule Extraction from Neural Networks
86
352 Extraction of Fuzzy Rules
87
36 Interaction between Evolution and Learning
89
37 Summary
90
Conventional Datadriven Fuzzy Systems Design
93
42 Fuzzy Inference Based Method
94
43 WangMendels Method
100
44 A Direct Method
102
45 An Adaptive Fuzzy Optimal Controller
105
46 Summary
110
Neural Network Based Fuzzy Systems Design
111
52 The Pisigma Neurofuzzy Model
114
522 The Hybrid Neural Network Model
115
523 Training Algorithms
116
55 Summary
141
Evolutionary Design of Fuzzy Systems
143
62 Evolutionary Design of Flexible Structured Fuzzy Controller
145
622 Parameter Optimization Using Evolution Strategies
146
623 Simulation Study
147
63 Evolutionary Optimization of Fuzzy Rules
148
632 Fitness Function
152
633 Evolutionary Fuzzy Modeling of Robot Dynamics
153
64 Fuzzy Systems Design for HighDimensional Systems
160
642 Flexible Fuzzy Partitions
161
643 Hierarchical Structures
163
644 Input Dimension Reduction
164
645 GABased Input Selection
169
65 Summary
171
Knowledge Discovery by Extracting Interpretable Fuzzy Rules
173
712 Interpretability of Fuzzy Systems and Knowledge Extraction
174
72 Evolutionary Interpretable Fuzzy Rule Generation
175
721 Evolution Strategy for Mixed Parameter Optimization
176
722 Genetic Representation of Fuzzy Systems
177
723 Multiobjective Fuzzy Systems Optimization
178
Fuzzy Vehicle Distance Controller
180
73 Interactive Coevolution for Fuzzy Rule Extraction
184
732 Coevolution
186
74 Fuzzy Rule Extraction from RBF Networks
187
742 Fuzzy Rule Extraction by Regularization
191
743 Application Examples
196
75 Summary
203
Fuzzy Knowledge Incorporation into Neural Networks
205
82 Knowledge Incorporation in Neural Networks for Control
207
822 Knowledge Incorporation in Adaptive Neural Control
208
83 Fuzzy Knowledge Incorporation By Regularization
210
84 Fuzzy Knowledge as A Related Task in Learning
216
85 Simulation Studies
217
851 Regularized Learning
218
852 Multitask Learning
219
86 Summary
221
Fuzzy Preferences Incorporation into Multiobjective Optimization
223
912 Incorporation of Fuzzy Preferences
225
92 Evolutionary Dynamic Weighted Aggregation
226
921 Conventional Weighted Aggregation for MOO
227
922 Dynamically Weighted Aggregation
228
923 Archiving of Pareto Solutions
230
925 Theoretical Analysis
237
93 Fuzzy Preferences Incorporation in MOO
247
932 Converting Fuzzy Preferences into Weight Intervals
249
94 Summary
252
References
255
Index
269
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