Categories of fuzzy preorders, approximation operators and Alexandrov topologies¹

Article type: Research Article

Authors: Kim, Yong Chan^*

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

Correspondence: [*] Corresponding author. Yong Chan Kim, Department of Mathematics, Gangneung-Wonju National University, Gangneung, Gangwondo 210-702, Korea. E-mail: yck@gwnu.ac.kr.

Note: [1] This study was supported by Gangneung-Wonju National University.

Abstract: In this paper, we investigate categories of fuzzy preorders, approximating operators and Alexandrov topologies in complete residuated lattices. In fact, categories of fuzzy preorders, approximating operators and Alexandrov topologies are isomorphic. We give their examples.

Keywords: Complete residuated lattices, fuzzy preorders, (upper, lower, join-meet) approximation operators, Alexandrov topologies

DOI: 10.3233/JIFS-152398

Journal: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 3, pp. 1787-1793, 2016