Fuzzy value is a fuzzy set on interval 0,1, whose α-cuts are all closed intervals for α∈ 0,1, i.e., fuzzy value is a fuzzy number on 0,1. In this note, we introduce three kinds of metrics d_i (i = 1, 2, 3) into fuzzy-valued space m0,1 and consider continuity of fuzzy-valued operations on metric spaces (m0, l,d_i) (i = 1, 2, 3). The obtained results will provide some theoretical bases for numeral calculation of fuzzy-valued operations.
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