Affiliations: School of Mathematics, Beijing Institute of Technology, Beijing, P.R. China
Note: [] Corresponding author. Bin Pang, School of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China. E-mail: pangbin1205@163.com
Abstract: This paper presents a definition of enriched (L,M)-fuzzy convergence spaces. It is shown that the resulting category E(L,M)-FC is a Cartesian closed topological category, which can embed the category E(L,M)-FTop of enriched (L,M)-fuzzy topological spaces as a reflective subcategory. Also, it is proved that the category of topological enriched (L,M)-fuzzy convergence spaces is isomorphic to E(L,M)-FTop and the category of pretopological enriched (L,M)-fuzzy convergence spaces is isomorphic to the category of enriched (L,M)-fuzzy quasi-coincident neighborhood spaces.
