Continuity of Fuzzy Value and Representation of Compatibility Function

Fuzzy value is a special type of fuzzy set on the interval, which is a generalization of triangular-type fuzzy set. In this paper, we shall discuss some characteristics of discontinuous points of fuzzy value, and give some properties of continuous fuzzy value. An expression of compatibility function corresponding to continuous fuzzy value and t-operation is presented by using the α-cuts of the fuzzy values.