ON L-FUZZIFYING CONVERGENCE SPACES

Abstract

Based on a complete Heyting algebra L, the relations between L- fuzzifying convergence spaces and L-fuzzifying topological spaces are studied. It is shown that, as a reflective subcategory, the category of L-fuzzifying topo- logical spaces could be embedded in the category of L-fuzzifying convergence spaces and the latter is cartesian closed. Also the specialization L-preorder of L-fuzzifying convergence spaces and that of L-fuzzifying topological spaces are investigated.