CONTENTS
6.3.3 Generalized Hypothetical Syllogism
6.4 Summary and Further Readings
6.5 Exercises
I1
Fuzzy Systems
and
Their Properties
7
Fuzzy Rule Base and Fuzzy Inference Engine
7.1 Fuzzy Rule Base
7.1.1
Structure of Fuzzy Rule Base
7.1.2 Properties of Set of Rules
7.2 Fuzzy Inference Engine
7.2.1 Composition Based Inference
7.2.2 Individual-Rule Based Inference
7.2.3
The Details of Some Inference Engines
7.3 Summary and Further Readings
7.4 Exercises
8
Fuzzifiers and Defuzzifiers
8.1 Fuzzifiers
8.2 Defuzzifiers
8.2.1 center of gravity Defuzzifier
8.2.2 Center Average Defuzzifier
8.2.3 Maximum Defuzzifier
8.2.4 Comparison of the Defuzzifiers
8.3 Summary and Further Readings
8.4 Exercises
9
Fuzzy Systems as Nonlinear Mappings
9.1 The Formulas of Some Classes of Fuzzy Systems
9.1.1
Fuzzy Systems with Center Average Defuzzifier
9.1.2
Fuzzy Systems with Maximum Defuzzifier
9.2
Fuzzy Systems As Universal Approximators
9.3 Summary and Further Readings
9.4 Exercises
10 Approximation Properties of Fuzzy Systems
I
10.1 Preliminary Concepts
10.2 Design of Fuzzy System
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