Fuzzy rough set based on lattice effect algebra

Article type: Research Article

Authors: Hua, Xiujuan^{; *}

Affiliations: Department of Mathematics, Xi’an University of Technology, Xi’an, China

Correspondence: [*] Corresponding author. Xiujuan Hua, Department of Mathematics, Xi’an University of Technology, Xi’an, Shaanxi Province 710054, China. Tel.: +86 13720437127; E-mail: huaxiujuan@xaut.edu.cn.

Abstract: In this paper, L-fuzzy rough sets as a further generalization of the notion of fuzzy rough sets are proposed. Moreover, some properties in lattice ordered effect algebra are presented. A group of approximation operators are defined by the new operation in effect algebra, which is introduced by Zhou X.N., Li Q.G. and Wang G.J. And some equivalent statements in an L-fuzzy approximation space are investigated. Finally, the notion of generalized L-fuzzy relational morphism of lattice effect algebra is introduced and the fundamental properties of it are studied.

Keywords: Effect algebra, Lower approximation, Upper approximation, L-fuzzy rough set, L-fuzzy relational morphism

DOI: 10.3233/JIFS-171920

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 1, pp. 29-36, 2019