Membership Functions, Fuzzification and Defuzzification
Timothy J. Ross
Abstract
Timothy J. Ross
Abstract
Fuzzy membership functions represent similarities of objects to ambiguous properties. All the information represented by a fuzzy set is contained within the membership function. This chapter summaries some methods to develop membership functions, briefly discusses the process of fuzzification (making crisp sets into fuzzy sets), and illustrates a few defuzzification (reducing fuzzy sets into singleton scalar values) methods.
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Fuzzy membership functions represent similarities of objects to ambiguous properties. All the information represented by a fuzzy set is contained within the membership function. This chapter summaries some methods to develop membership functions, briefly discusses the process of fuzzification (making crisp sets into fuzzy sets), and illustrates a few defuzzification (reducing fuzzy sets into singleton scalar values) methods.
Key concepts: Defuzzification, Membership function, Fuzzy set, Fuzzy classification, Fuzzy set operations, Mathematics, Fuzzy number, Fuzzy logic