STRATIFIED (L, M)-FUZZY DERIVED SPACES

Abstract

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