title: A novel method of the generalized interval-valued fuzzy rough approximation operators.
abstract: Rough set theory is a suitable tool for dealing with the imprecision, uncertainty, incompleteness, and vagueness of knowledge. In this paper, new lower and upper approximation operators for generalized fuzzy rough sets are constructed, and their definitions are expanded to the interval-valued environment. Furthermore, the properties of this type of rough sets are analyzed. These operators are shown to be equivalent to the generalized interval fuzzy rough approximation operators introduced by Dubois, which are determined by any interval-valued fuzzy binary relation expressed in a generalized approximation space. Main properties of these operators are discussed under different interval-valued fuzzy binary relations, and the illustrative examples are given to demonstrate the main features of the proposed operators.
authors.affiliation: College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China.
authors.forename: Tianyu
authors.initials: T
authors.lastname: Xue
authors.affiliation: College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China.
authors.forename: Zhan'ao
authors.initials: Z
authors.lastname: Xue
authors.affiliation: College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China.
authors.forename: Huiru
authors.initials: H
authors.lastname: Cheng
authors.affiliation: College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China.
authors.forename: Jie
authors.initials: J
authors.lastname: Liu
authors.affiliation: College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, China.
authors.forename: Tailong
authors.initials: T
authors.lastname: Zhu
mesh_terms: D000465:Algorithms; D017143:Fuzzy Logic; D009716:Numerical Analysis, Computer-Assisted