Net-theoretical convergence in (L,M)-fuzzy cotopological spaces

Authors:
Xiao-Fei Yang;Sheng-Gang Li
Affiliations:
College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, P.R. China;College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, P.R. China
Venue:
Fuzzy Sets and Systems
Year:
2012

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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.