STRATIFIED (L, M)-FUZZY Q-CONVERGENCE SPACES

This paper presents the concepts of (L;M)-fuzzy Q-convergence spaces and stratied ( L;M)-fuzzy Q-convergence spaces. It is shown that the category of stratied ( L;M)-fuzzy Q-convergence spaces is a bireective sub- category of the category of (L;M)-fuzzy Q-convergence spaces, and the former is a Cartesian-closed topological category. Also, it is proved that the category of stratied ( L;M)-fuzzy topological spaces can be embedded in the category of stratied ( L;M)-fuzzy Q-convergence spaces as a reective subcategory, and the former is isomorphic to the category of topological stratied ( L;M)-fuzzy Q-convergence spaces.