2000Studies in fuzziness and soft computingRequires access

Membership Functions, Fuzzification and Defuzzification

Timothy J. Ross

Open publisher page 34 citations

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.

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Available 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.

Key concepts: Defuzzification, Membership function, Fuzzy set, Fuzzy classification, Fuzzy set operations, Mathematics, Fuzzy number, Fuzzy logic

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