Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (8): 114-117.

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One-direction S-interval-valued fuzzy rough set and its application

LU Xiaoyun, WANG Qinghai   

  1. School of Computer, Qinghai Normal University, Xining 810008, China
  • Online:2014-04-15 Published:2014-05-30

单向S-区间值模糊粗糙集及应用

鲁小云,王青海   

  1. 青海师范大学 计算机学院,西宁 810008

Abstract: 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.

Key words: dynamic interval-valued fuzzy set, interval-valued fuzzy elementary transfers, interval-valued fuzzy rough set, one-direction S-interval-valued fuzzy rough set

摘要: 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。

关键词: 动态区间值模糊集, 区间值模糊元素迁移, 区间值模糊粗糙集, 单向S-区间值模糊粗糙集