计算机工程与应用 ›› 2012, Vol. 48 ›› Issue (16): 47-50.

• 研究、探讨 • 上一篇    下一篇

双向S-模糊粗糙集及其应用

鲁小云,耿生玲   

  1. 青海师范大学 计算机系,西宁 810008
  • 出版日期:2012-06-01 发布日期:2012-06-01

Two-direction S-fuzzy rough set and its application

LU Xiaoyun, GENG Shengling   

  1. Department of Computer Science, Qinghai Normal University, Xining 810008, China
  • Online:2012-06-01 Published:2012-06-01

摘要: 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。

关键词: 动态模糊集, 模糊元素迁移, Dubois模糊粗糙集, 双向S-模糊粗糙集

Abstract:  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.

Key words: dynamic fuzzy set, fuzzy elementary transfers, Dubois fuzzy rough set, two-direction S-fuzzy rough