Join-meet preserving maps and Alexandrov fuzzy topologies

Article type: Research Article

Authors: Kim, Yong Chan

Affiliations: Department of Mathematics, Gangneung-Wonju National University, Gangneung, Gangwondo, Korea

Note: [] Corresponding author. Yong Chan Kim, Department of Mathematics, Gangneung-Wonju National University, Gangneung, Gangwondo 210-702, Korea. E-mail: [email protected]

Abstract: 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.

Keywords: Join-meet preserving maps, join-meet approximation operators, fuzzy preorders, complete residuated lattices, Alexandrov fuzzy topologies

DOI: 10.3233/IFS-141322

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 1, pp. 457-467, 2015