1998•Journal of Japan Society for Fuzzy Theory and Intelligent InformaticsOpen access

Fuzzy Distance between Fuzzy Values

Qihao Chen, Shin Kawase

Abstract

Fuzzy value is a special type of Fuzzy sets on the closed interval [0.1] which is a generalization of triangular type Fuzzy sets. In this note we define. between two Fuzzy values A, B, a distance D(A, B) which is also a Fuzzy value and called a FuZZy distance. Topological properties with respect to the Fuzzy distance will be investigated in further papers.

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Key concepts: Fuzzy logic, Fuzzy classification, Fuzzy number, Mathematics, Fuzzy set operations, Generalization, Fuzzy mathematics, Defuzzification