Kim, Yong Chan Alexandrov \(L\)-topologies. (English) Zbl 1337.03080 Int. J. Pure Appl. Math. 93, No. 2, 165-179 (2014). 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. Cited in 3 Documents 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 Keywords:complete residuated lattices; upper and lower approximation operators; Alexandrov \(L\)-topologies PDF BibTeX XML Cite \textit{Y. C. Kim}, Int. J. Pure Appl. Math. 93, No. 2, 165--179 (2014; Zbl 1337.03080) Full Text: DOI Link OpenURL