基于加细覆盖的广义粗糙集研究

Research on Generalized Rough Sets Based on Fine Covering

覆盖广义粗集是Paw lak粗集理论的一种重要扩展.本文从拓扑学的角度,利用邻域系重新定义了广义粗集近似集的概念,并分析了这些近似集概念之间的差异;证明了在加细覆盖条件下,上、下近似集运算存在一些特别性质;给出了加细覆盖下近似集运算的公理化构造条件。

Covering generalized rough sets is an important development to the Pawlak rough sets theory. In this paper, from the topological view, some concepts of generalized rough sets are defined again by the use of adjacent cluster. Their different characteristics are also analysed. Some special properties of upper and low approximation operations based on the fine covering are studied. The method of approximation operations of the fine covering is presened.