In this paper we introduced the definition of standard fuzzy metric spaces then
we discussed several properties of this space after some illustrative examples are
given. Then we defined a continuous mapping from standard fuzzy metric space
(X,M ,∗) into a standard fuzzy metric space (Y,M ,∗) after that we proved some
basic theorems of a continuous mappings. Finally we defined uniformly
continuous mapping from a standard fuzzy metric space (X,M ,∗) into a standard
fuzzy metric space (Y,M ,∗) then we proved several properties of uniformly
continuous mapping.
Keyword: Standard fuzzy metric space, Continuous mapping, Uniformly
continuous mapping
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