Table of Contents
Introduction, Basic Elements and Definitions, Fuzzy Sets: Definitions and Properties, Fuzzy Numbers, Assessment of the Membership Functions, Fuzzy Sets, Possibilities and Probabilities, Fuzzy Rules, The Structure of a Fuzzy Rule, Combination of Fuzzy Rule Responses, Defuzzification, Case of Fuzzy Premises, Rules with Multiple Responses, Rule Systems, Completeness and Redundancy, Variables to Be Used for Rule Systems, Rules and Continuous Functions, Membership Functions in Rule Systems, Sensitivity of the Response Functions, Rule Construction, Explicit Rule Specification, Deriving Rule Systems from Datasets, Known Rule Structure, Partially Explicit Rule Structures, Unknown Rule Structure, Deriving Rule Systems from Fuzzy Data, Rule Verification, Removing Unnecessary Rules, Fuzzy Rule-Based Modeling versus Fuzzy Control, Principles of Fuzzy Control, Examples of Fuzzy Control, Fuzzy Control and Fuzzy Rule-Based Modeling, Rule Systems with Discrete Responses, Combination of Discrete Consequence Type Rules, Rule Assessment, Application to Weather Classification, Application to Time Series, Rule Assessment, Example: Water Demand Forecasting, Example: Daily Mean Temperature, Application to Dynamical Physical Systems, Application to Soil Water Movement, Other Applications, Application to Medical Diagnosis, Sustainable Reservoir Operation References, A Proofs of Selected Propositions