The Concept of Fuzzy Set and Membership Function and Basic Properties of Fuzzy Set Operation

Takashi Mitsuishi

Shinshu University, Nagano

Noboru Endou

Shinshu University, Nagano

Yasunari Shidama

Shinshu University, Nagano

Summary.

This article introduces the fuzzy theory. At first, the definition of fuzzy set characterized by membership function is described. Next, definitions of empty fuzzy set and universal fuzzy set and basic operations of these fuzzy sets are shown. At last, exclusive sum and absolute difference which are special operation are introduced.

MML Identifier: FUZZY_1

Contents (PDF format)

1. Definition of Membership Function and Fuzzy Set
2. Intersection, Union and Complement
3. Empty Fuzzy Set and Universal Fuzzy Set
4. Exclusive Sum, Absolute Difference

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