Some Continuous Properties on Fuzzy Metric Space

Abstract

This paper deals with the concept of fuzzy metric space and their basic topological properties with illustrative examples. We define continuous mappings from a fuzzy metric space (U, F, ∗) into a fuzzy metric space (V, F, ∗) and prove some properties of continuous mappings including the composition function of two fuzzy continuous functions to be a fuzzy continuous function and the Cartesian product of two fuzzy metric space is a fuzzy metric space. To clarify the result, one numerical example is also presented.