Abstract
In this paper, we investigate the properties of Alexandrov fuzzy topologies and upper approximation operators induced by maps. We give their examples. Hohle (3) introduced L-fuzzy topologies and L-fuzzy interior operators. The relationship between rough set theory and topological spaces was investigated (4-12). Hajek (2) introduced a complete residuated lattice which is an algebraic structure for many valued logic. Kim (5-7) investigated the properties of join (resp. meet, meet join, join meet) preserving operators and Alexandrov fuzzy topology in complete residuated lattices. In this paper, we investigate the properties of Alexandrov fuzzy topologies and upper approximation operators induced by maps. We give their examples.
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