Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (5): 33-35.DOI: 10.3778/j.issn.1002-8331.2010.05.011

• 研究、探讨 • Previous Articles     Next Articles

Model of S-rough sets on double universes and its applications

LU Xiao-yun,YANG Yong   

  1. College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China
  • Received:2008-09-11 Revised:2008-11-17 Online:2010-02-11 Published:2010-02-11
  • Contact: LU Xiao-yun


鲁小云,杨 勇   

  1. 西北师范大学 数学与信息科学学院,兰州 730070
  • 通讯作者: 鲁小云

Abstract: The application scope of the primitive model of S-rough sets is extremely restricted owing to its dynamic discussion of knowledge discovery and formula exploration from the perspective of single universe.The primitive model of S-rough sets is extended to the double universes by means of constructive method.The relationships between S-rough sets and Z.Pawlak rough sets,between S-rough sets on the single universes and on the double universes are analyzed,and a discussion about some correlative properties of S-rough sets on double universes is discussed and an application in disease diagnosis is given.

Key words: rough sets, S-rough sets, double universes, multivalued mapping

摘要: 原始从单论域出发讨论动态系统的知识发现和规则挖掘,其应用范围受到极大限制。通过构造性方法对原始的S-粗集粗糙集模型进行推广,提出双论域上的S-粗集模型。分析了S-粗集与Z.Pawlak 粗集、以及单论域S-粗集与双论域S-粗集的关系。并讨论了双论域S-粗集一些相关性质及在疾病诊断上的应用。

关键词: 粗糙集, S-粗集, 双论域, 集值映射

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