双向S-模糊粗糙集及其应用

摘要

The paper introduces the concept of dynamic fuzzy approximation in Dubois fuzzy rough set based on the theory of Z.Pawlak rough set. Based on this, the concept of two-direction S-rough set is proposed, and its general structure and basic properties are given. The relationship between a two-direction S-fuzzy rough set and Z.Pawlak rough set, Dubois fuzzy rough set, S-rough set and S-rough fuzzy set, between a two-direction S-fuzzy rough set and a one-direction S-fuzzy rough set are analyzed. The application and existing value of two-direction S-fuzzy rough set is given.%以Z.Pawlak粗集理论为基础,将动态模糊近似概念引入Dubois模糊粗糙集中.提出了双向S-模糊粗糙集概念,给出了双向S-模糊粗糙集的结构与性质.分析了双向S-模糊粗糙集与Z.Pawlak粗集、Dubois模糊粗集、S-粗集、S-粗糙模糊集及单向S-模糊粗糙集之间的关系.给出了双向S-模糊粗糙集的应用及存在价值.