计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (15): 22-24.

• 博士论坛 • 上一篇    下一篇

基于Vague等价关系的粗糙集分解

杨海龙,李生刚   

  1. 陕西师范大学 数学与信息科学学院,西安 710062
  • 收稿日期:2008-01-07 修回日期:2008-02-29 出版日期:2008-05-21 发布日期:2008-05-21
  • 通讯作者: 杨海龙

Decomposition of rough sets based on Vague equivalence relation

YANG Hai-long,LI Sheng-gang   

  1. College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China
  • Received:2008-01-07 Revised:2008-02-29 Online:2008-05-21 Published:2008-05-21
  • Contact: YANG Hai-long

摘要: 首先,提出了基于Vague等价关系的(αtαf)-等价类,并在(αtαf)-等价类基础上定义了(αtαf)-粗糙集,得到(αtαf)-粗糙集是λ-粗糙集的推广,研究了(αtαf)-等价类和(αtαf)-粗糙集的性质。其次,给出(αtαf)-等价类分解、(αtαf)-粗糙集分解以及(αtαf)-粗糙集的边界的概念。最后,分别得到等价类、粗糙集以及粗糙集的边界基于Vague等价关系的分解结构。

关键词: 粗糙集, Vague等价关系, 分解链

Abstract: Firstly,(αtαf)-equivalence classes based on the Vague equivalence relation are introduced and (αtαf)-rough sets are defined based on (αtαf)-equivalence classes,it is obtained that (αtαf)-rough sets is a generalization of λ-rough sets,and properties of (αtαf)-equivalence classes and (αtαf)-rough sets are investigated.Next,the notions of the decomposition of (αtαf)-equivalence classes,the decomposition of (αtαf)-rough sets and the boundary of (αtαf)-rough sets are given.Finally,the decomposition structures based on the Vague equivalence relation of equivalence classes,rough sets and the boundary are obtained respectively.

Key words: rough sets, Vague equivalence relation, decomposition chain