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Alexandrov \(L\)-topologies. (English) Zbl 1337.03080

Summary: We introduce upper and lower approximation operators as a generalization of fuzzy rough set in complete residuated lattices. We investigate relations between their operations and Alexandrov \(L\)-topologies.

MSC:

03E72 Theory of fuzzy sets, etc.
06A15 Galois correspondences, closure operators (in relation to ordered sets)
06F05 Ordered semigroups and monoids
54A40 Fuzzy topology
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