A CATEGORY OF L-FUZZY CONVERGENCE SPACES

Abstract In this paper we take convergence of stratified L-filters as primitive notion and construct in this way a cartesian closed category, which contains the category of stratified L-topological spaces as reflective subcategory. The class of spaces with non-idempotent stratified fuzzy interior operator is characterized as subclass of the class of our stratified L-fuzzy convergence spaces and a first characterization, which fuzzy convergences stem from stratified L-topologies is established.