Preface |
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vii | |
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1 | (8) |
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1.1 Fuzzy Sets and Data Granularity |
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1 | (2) |
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1.2 Neural Networks and Knowledge Discovery |
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3 | (1) |
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1.3 Genetic Algorithms and Adaptive Optimization |
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4 | (1) |
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1.4 Soft Computing Systems and Computational Intelligence |
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5 | (2) |
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7 | (2) |
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2 Fuzzy Compensation Principles |
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9 | (32) |
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2.1 Fuzzy Yin-Yang Compensation |
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9 | (2) |
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2.2 Compensation of Fuzzy CNF and Fuzzy DNF |
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11 | (8) |
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2.2.1 Boolean Truth Table and Karnaugh Map |
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12 | (1) |
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2.2.2 Kaufmann's Fuzzy Truth Table and Fuzzy Map |
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13 | (2) |
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2.2.3 Universal Fuzzy Truth Table and AN D(m)(n) Map |
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15 | (4) |
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2.3 2-variable-2-dimensional CNFs and DNFs |
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19 | (2) |
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2.4 2-variable-m-dimensional CNFs and DNFs for m = 3,4 |
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21 | (2) |
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2.5 Compensation of Universal Fuzzy CNF and Fuzzy DNF |
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23 | (17) |
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23 | (3) |
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2.5.2 General Fuzzy Logic |
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26 | (3) |
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2.5.3 m-dimensional Fuzzy CNFs and DNFs of a XXX a and a XXX a |
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29 | (2) |
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2.5.4 m-dimensional t-norm-t-conorm CNFs and DNFs |
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31 | (4) |
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2.5.5 Relations in Fuzzy and t-norm-t-conorm CNFs and DNFs |
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35 | (5) |
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40 | (1) |
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3 Normal Fuzzy Reasoning Methodology |
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41 | (16) |
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3.1 Primary Fuzzy Subsets |
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41 | (1) |
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3.2 The Variable-Input-Constant-Output (VICO) Problem |
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42 | (2) |
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3.3 Normal Fuzzy Reasoning (NFR) |
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44 | (5) |
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3.4 Normal Fuzzy Controllers |
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49 | (8) |
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4 Compensatory Genetic Fuzzy Neural Networks |
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57 | (14) |
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57 | (1) |
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4.2 Fuzzy Neural Networks with Knowledge Discovery |
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58 | (3) |
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4.3 Heuristic Genetic Learning Algorithm for a FNNKD |
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61 | (6) |
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4.4 Feature Expressions of Trapezoidal-type Fuzzy Sets |
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67 | (1) |
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4.5 Crisp-Fuzzy Neural Networks (CFNN) |
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68 | (3) |
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5 Fuzzy Knowledge Rediscovery in Fuzzy Rule Bases |
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71 | (10) |
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5.1 Applicability of Various Defuzzification Techniques |
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71 | (6) |
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5.2 Nonlinear Function Approximation |
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77 | (4) |
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6 Fuzzy Cart-pole Balancing Control Systems |
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81 | (14) |
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6.1 Cart-pole Balancing Fuzzy Control Systems |
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81 | (5) |
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6.2 A Cart-pole Balancing System with Crisp Inputs and Outputs |
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86 | (4) |
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6.3 A Cart-pole Balancing System with Fuzzy Inputs and Outputs |
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90 | (5) |
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7 Fuzzy Knowledge Compression and Expansion |
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95 | (9) |
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7.1 Compression of Fuzzy Rule Bases |
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95 | (3) |
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7.2 Expansion of Fuzzy Rule Bases |
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98 | (6) |
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8 Highly Nonlinear System Modeling and Prediction |
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104 | (11) |
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8.1 Nonlinear Function Prediction |
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104 | (2) |
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8.2 Chaotic Time Series Prediction |
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106 | (6) |
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8.2.1 Wang's Fuzzy System and a FNNKD |
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108 | (1) |
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8.2.2 Effectiveness of the HGLA |
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109 | (1) |
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8.2.3 Analysis of Compensatory Degrees Gamma(k) |
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110 | (1) |
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8.2.4 Performance of Various Approaches |
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111 | (1) |
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8.3 Box and Jenkins's Gas Furnace Model Identification |
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112 | (3) |
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9 Fuzzy Moves in Fuzzy Games |
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115 | (30) |
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115 | (1) |
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116 | (2) |
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9.3 Normal Fuzzy Reasoning for Fuzzy Moves |
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118 | (1) |
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9.4 Applicability of Various Methods |
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119 | (4) |
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119 | (4) |
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9.4.2 Applicability of Fuzzy Reasoning Methods |
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123 | (1) |
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9.5 Efficient Precise Decision Systems for Fuzzy Moves |
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123 | (3) |
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126 | (1) |
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9.7 Fuzzy Moves in Prisoner's Dilemma |
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127 | (17) |
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9.7.1 Global Games and Global PDs |
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129 | (7) |
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9.7.2 Theory of Fuzzy Moves |
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136 | (4) |
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9.7.3 Fuzzy Moves in Global PDs |
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140 | (3) |
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143 | (1) |
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144 | (1) |
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10 Genetic Neuro-fuzzy Pattern Recognition |
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145 | (7) |
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10.1 Structure of a Genetic Fuzzy Neural Network |
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145 | (2) |
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10.2 Genetic-Algorithms-Based Self-Organizing Learning Algorithm |
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147 | (2) |
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149 | (2) |
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151 | (1) |
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11 Constructive Approach to Modeling Fuzzy Systems |
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152 | (17) |
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152 | (1) |
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11.2 A Normal-Fuzzy-Reasoning-Based Fuzzy System |
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153 | (1) |
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11.3 Various Single-Input-Single-Output (SISO) fuzzy systems |
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154 | (3) |
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11.4 Universal approximation |
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157 | (2) |
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11.5 A Piecewise nonlinear constructive algorithm |
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159 | (4) |
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163 | (5) |
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11.6.1 A nonlinear function approximation |
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163 | (2) |
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11.6.2 Box and Jenkins's gas furnace model identification |
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165 | (1) |
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11.6.3 A chaotic system identification |
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166 | (2) |
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168 | (1) |
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169 | (4) |
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169 | (2) |
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12.2 Future Research and Development |
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171 | (2) |
Bibliography |
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173 | (10) |
Index |
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183 | |