Basic Properties of Fuzzy Set Operation and Membership Function

Takashi Mitsuishi

Shinshu University, Nagano

Katsumi Wasaki

Shinshu University, Nagano

Yasunari Shidama

Shinshu University, Nagano

Summary.

This article introduces the fuzzy theory. The definition of the difference set, algebraic product and algebraic sum of fuzzy set is shown. In addition, basic properties of those operations are described. Basic properties of fuzzy set are a~little different from those of crisp set.

MML Identifier: FUZZY_2

Contents (PDF format)

1. Basic Properties of Membership Function and Difference Set
2. Algebraic Product and Algebraic Sum

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