排异近似算子的拓扑性质

Topological properties of preclusivity rough approximation operators

排异粗糙集模型是Pawlak粗糙集模型的推广.本文研究排异粗糙集模型的代数结构.在排异近似空间中讨论了排异近似算子与基于邻域的近似算子的关系,构造了基于排异近似算子的拓扑空间,研究了这一拓扑空间的内部、闭包算子与排异近似算子之间的关系.

Preclusivity rough set model is a generalization of Pawlak rough set model. This paper discusses me aigeoralc structure of preclusivity rough set model. The relationship between preclusivity approximation operators and the neighborhood based on approximation operators is investigated. The topological space based on the preclusivity approximation operators is constructed. The relationship among interior operator, closure operator and preclusivity rough approximation operators of this topological space is established.