The Continuity of Fuzzy Metric Spaces
Abstract
In the present paper, the definitions of a fuzzy continuous function and uniformly fuzzy continuous are introduced. we prove that a function from a fuzzy metric space ( ) into a fuzzy metric space ( ) is fuzzy continuous if and only if for every fuzzy open subset of , is fuzzy open in . Also the composition function of two uniformly fuzzy continuous functions is proved to be a uniformly fuzzy continuous function.
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DOI: https://doi.org/10.18686/esta.v7i4.132
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