Kim, Yong Chan Join-meet preserving maps and Alexandrov fuzzy topologies. (English) Zbl 1351.06002 J. Intell. Fuzzy Syst. 28, No. 1, 457-467 (2015). Summary: In this paper, we investigate the properties of join-meet preserving maps in complete residuated lattices. We define join-meet approximation operators as a generalization of fuzzy rough sets in complete residuated lattices. Moreover, we investigate the relations between join-meet preserving maps and Alexandrov fuzzy topologies. We give their examples. Cited in 4 Documents MSC: 06A15 Galois correspondences, closure operators (in relation to ordered sets) 54A40 Fuzzy topology 06B23 Complete lattices, completions 06D72 Fuzzy lattices (soft algebras) and related topics Keywords:join-meet preserving maps; join-meet approximation operators; fuzzy preorders; complete residuated lattices; Alexandrov fuzzy topologies PDF BibTeX XML Cite \textit{Y. C. Kim}, J. Intell. Fuzzy Syst. 28, No. 1, 457--467 (2015; Zbl 1351.06002) Full Text: DOI OpenURL