Continuous and Uniform Continuous Mappings on a Standard Fuzzy Metric Spaces

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_X,*) into a standard fuzzy metric space (Y,M_Y,*) 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_X,*) into a standard fuzzy metric space (Y,M_Y,*) then we proved several properties of uniformly continuous mapping.