单向S-区间值模糊粗糙集及应用

摘要

This paper introduces the concept of dynamic interval-valued fuzzy approximation in interval-valued fuzzy rough set based on the theory of Z.Pawlak rough set. Based on this, the concept of one-direction S-interval-valued fuzzy rough set is proposed, and its general structure and basic properties are given. The concepts of rough equivalent, cut set and roughness of one-direction S-interval-valued fuzzy rough set are defined, and related properties are discussed and proved. Then, the application and existing value of one-direction S-interval-valued fuzzy rough set is given.%以Z.Pawlak粗集理论为基础，将动态区间值模糊近似概念引入区间值模糊粗糙集中。由此提出了单向S-区间值模糊粗糙集概念，给出了单向S-区间值模糊粗糙集的结构与性质。定义了单向S-区间值模糊粗糙集的粗相等、截集、粗糙度等概念，并对一些相关性质进行讨论和证明；给出了单向S-区间值模糊粗糙集的应用及存在价值。