Alexandrov L-filters and Alexandrov L-convergence spaces

摘要

In this paper, we introduce the notion of Alexandrov L-(neighborhood) filters and Alexandrov L-convergence structures as a topological viewpoint of fuzzy rough sets. We investigate the categorical relations among Alexandrov L-neighborhood filters, L-fuzzy preorders and Alexandrov L-convergence structures. Moreover, we investigate their topological properties and give examples.