In this paper, we introduce the notion of Alexandrov L-preuniform convergence spaces based on the concepts of Alexandrov L-filters on X × X. We investigate the categorical relations among Alexandrov L-preuniform convergence spaces, Alexandrov L-preconvergence spaces and reflexive L-fuzzy relations. Moreover, we investigate their topological properties and give their examples as a viewpoint of the topological structure for fuzzy information and fuzzy rough sets.
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