Topology has enormous applications on fuzzy set. An attention can be
brought to the mathematicians about these topological applications on
fuzzy set by this article. In this research, first we have classified
the fuzzy sets and topological spaces, and then we have made relation
between elements of them. For expediency, with mathematical view few
basic definitions about crisp set and fuzzy set have been recalled. Then
we have discussed about topological spaces. Finally, in the last
section, the fuzzy topological spaces which is our main object we have
developed the relation between fuzzy sets and topological spaces.
Moreover, this article has been concluded with the examination of some
of its properties and certain relationship among the closure of these
spaces.