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Table of contents
Introduction
1 Evolutionary Computation
1.1 Overview
1.2 History
1.2.1 Genetic algorithms
1.2.2 Evolution strategies
1.2.3 Evolutionary programming
1.2.4 Genetic programming
1.3 Representations
1.3.1 Bit strings
1.3.2 Vectors of real numbers
1.3.3 Permutations
1.3.4 Parse trees
1.3.5 Production rules
1.3.6 Specific representations
1.4 Selection
1.4.1 Deterministic selection
1.4.2 Proportional selection
1.4.3 Rank selection
1.4.4 Tournament selection
1.5 Variation operators
1.5.1 Recombination
1.5.2 Mutation
1.5.3 Parameters setting
1.6 Conclusions
2 Fuzzy Systems
2.1 Fuzzy Sets
2.2 Linguistic variables
2.3 Fuzzy inference
2.3.1 An example of fuzzy inference
2.4 Fuzzy Systems
2.4.1 The Mamdani Fuzzy System
2.4.2 The Takagi-Sugeno Fuzzy System
2.4.3 MIMO vs. MISO fuzzy systems
2.5 Partition of the Input Space
2.6 Fuzzy Controllers
2.6.1 The ANFIS model
2.6.2 The GARIC model
2.6.3 The genetic learning model of Hoffmann
2.6.4 The SEFC model
2.7 Recurrent fuzzy controllers
2.7.1 Fuzzy temporal rules
2.7.2 The RFNN model
2.7.3 The RSONFIN model
2.7.4 The DFNN model
2.7.5 The TRFN model
2.8 Conclusions
3 The Voronoi Approximation
3.1 Basic Computational Geometry Concepts
3.1.1 Voronoi Diagrams
3.1.2 Delaunay Triangulations
3.1.3 Barycentric Coordinates
3.2 The Voronoi approximation
3.2.1 Examples
3.3 Evolution of Voronoi approximators
3.3.1 Representation
3.3.2 Recombination
3.3.3 Mutation
3.3.4 Experimental Study of the Variation Operators
3.4 Function approximation
3.4.1 First experiment
3.4.2 Second experiment
3.5 Conclusions
4 Voronoi-based Fuzzy Systems
4.1 The Voronoi-based Fuzzy System
4.2 Properties
4.2.1 Fuzzy finite partition
4.2.2 ǫ-completeness property
4.3 Evolution of Voronoi-based fuzzy systems
4.3.1 Representation
4.3.2 Properties
4.4 Control experiments
4.4.1 Cart-pole system
4.4.2 Evolutionary robotics
4.5 Conclusions
5 Recurrent Voronoi-based Fuzzy Systems
5.1 Recurrent Voronoi-based fuzzy systems
5.2 Properties
5.2.1 Recurrent rules representation
5.2.2 Recurrent units with semantic interpretation
5.3 Evolution of recurrent Voronoi-based fuzzy systems
5.4 Experiments
5.4.1 System identification
5.4.2 Evolutionary robotics
5.5 Conclusions
Conclusions
Bibliography
Index




