A new approach on covering fuzzy variable precision rough sets based on residuated lattice

Article type: Research Article

Authors: Le, Van Thien^{a; b} | Hu, Bao Qing^{a; *}

Affiliations: [a] School of Mathematics and Statistics, Wuhan University, Wuhan, P.R. China | [b] University of Pedagogy, HoChiMinh City, Viet Nam

Correspondence: [*] Corresponding author. Bao Qing Hu, School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P.R. China. E-mail: bqhu@whu.edu.cn.

Abstract: This paper constructs ℒ-covering fuzzy variable precision rough set and mainly studies some properties of type I and type II ℒ-covering fuzzy lower and upper approximation operators of ℒ-fuzzy sets on X. Topology properties of type I and type II ℒ-covering fuzzy lower and upper approximation operators are also discussed through a fuzzy interior operator and fuzzy closure operator. Moreover, we investigate the dual properties and compare between ℒ-covering fuzzy variable precision rough approximation operators.

Keywords: Residuated lattice, ℒ-covering fuzzy variable precision rough approximation operators, fuzzy covering, fuzzy relations, fuzzy topology

DOI: 10.3233/JIFS-15985

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3181-3190, 2017