Join-meet approximation operators and fuzzy preorders

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. Tel.: +82 33 640 2270; Fax: +82 33 647 3256; E-mail: yck@gwnu.ac.kr

Abstract: In this paper, we investigate the properties of join-meet and meet-join preserving maps in complete residuated lattices. We define join-meet (resp. meet-join) approximation operators as a generalization of fuzzy rough sets in complete residuated lattices. Moreover, we investigate the relations between join-meet (resp. meet-join) approximation operators and fuzzy preorders. We give their examples.

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

DOI: 10.3233/IFS-141392

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 3, pp. 1089-1097, 2015