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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 |