Fuzzy preorder based fuzzy rough sets using multiplication and division

Article type: Research Article

Authors: Yang, Jun | Yao, Wei^{; *}

Affiliations: School of Mathematics and Statistics, NanjingUniversity of Information Science and Technology, Nanjing, China

Correspondence: [*] Corresponding author. Wei Yao. E-mail: [email protected].

Abstract: By a fuzzy preorder, it means a (0, 1]-binary relation on a nonempty set which is self-reflective and transitive. For a fuzzy preorder on a universe, this paper constructs a kind of fuzzy rough set model based on the multiplication and division of real numbers. The definable sets and the related fuzzy topology are studied.

Keywords: Fuzzy preorder, rough set, approximation operator, definable set

DOI: 10.3233/JIFS-211709

Journal: Journal of Intelligent & Fuzzy Systems, vol. 43, no. 5, pp. 5443-5451, 2022