Abstract
In this paper, we introduce the notion of topological (L,M)-fuzzy convergence structure and prove that, for a given set, there exists a bijection between the set of all topological (L,M)-fuzzy convergence structures and the set of all (L,M)-fuzzy cotopologies on this set. This induces an isomorphism between the category of topological (L,M)-fuzzy convergence spaces and the category of (L,M)-fuzzy cotopological spaces.
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