• 理论与算法 •

### 近似空间复合的矩阵表示

1. 河北师范大学 数学与信息科学学院，石家庄 050024
• 出版日期:2017-08-01 发布日期:2017-08-09

### Matrix Representation of Composition of Approximation Spaces

YAO Aimeng+, MI Jusheng

1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China
• Online:2017-08-01 Published:2017-08-09

Abstract: This paper mainly discusses the problem about calculating the upper and lower approximates of rough set in approximation space. Because a relation can be represented by a matrix and matrix operations are simple and intuitive, this paper proposes the calculation of the upper and lower approximates in rough set based on relation matrix and matrix operations. Firstly, this paper studies the compositions of two generalized approximation spaces and two generalized fuzzy approximation spaces, discusses the relationships between the operators in the composite approximation space and the two original approximation spaces, and shows that the generalized fuzzy approximation space is the further promotion of the generalized approximation space. Then, according to the matrix representation and the operation of the relation, this paper describes some operations and related properties in approximation space by matrix. Finally, this paper introduces the calculation of the upper and lower approximations of rough set in approximation space in matrix method. The theoretical proof shows that the matrix method is feasible and effective.