Stratified (L,M)-fuzzy Q-convergence spaces

This paper presents the concepts of (L,M)-fuzzy Q-convergence spaces and stratified (L,M)-fuzzy Q-convergence spaces. It is shown that the category of stratified (L,M)-fuzzy Q-convergence spaces is a bireflective subcategory 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 stratified (L,M)-fuzzy topological spaces can be embedded in the category of stratified (L,M)-fuzzy Q-convergence spaces as a reflective subcategory, and the former is isomorphic to the category of topological stratified (L,M)-fuzzy Q-convergence spaces.

Keywords:

(Stratified) (L , M)-fuzzy topology , M)-fuzzy Q-convergence structure , Topological category , Cartesian-closedness