STRATIFIED (L;M)-FUZZY DERIVED SPACES

In this paper, the concepts of derived sets and derived operators are generalized to (L;M)-fuzzy topological spaces and their characterizations are given. What is more, it is shown that the category of stratied (L;M)- fuzzy topological spaces, the category of stratied (L;M)-fuzzy closure spaces and the category of stratied (L;M)-fuzzy quasi-neighborhood spaces are all isomorphic to the category of stratied (L;M)-fuzzy derived spaces.