Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (7): 10-13.DOI: 10.3778/j.issn.1002-8331.2009.07.004

• 博士论坛 • Previous Articles     Next Articles

Research of generalized variable precision rough set model and its application

SUN Shi-bao1,2,YAO Lei-lei1,WU Qing-tao1,PU Jie-xin1,QIN Ke-yun3   

  1. 1.Electronic Information Engineering College,Henan University of Science and Technology,Luoyang,Henan 471003,China
    2.National Lab of Software Development Environment,Beihang University,Beijing 100191,China
    3.Intelligent Control Development Center,Southwest Jiaotong University,Chengdu 610031,China
  • Received:2008-11-12 Revised:2008-12-30 Online:2009-03-01 Published:2009-03-01
  • Contact: SUN Shi-bao



  1. 1.河南科技大学 电子信息工程学院,河南 洛阳 471003
    2.北京航空航天大学 软件开发环境国家重点实验室,北京 100191
    3.西南交通大学 智能控制开发中心,成都 610031
  • 通讯作者: 孙士保

Abstract: Generalized rough sets and Ziarko’s variable precision rough set model are introduced.Under general relations,a variable precision rough set model based on successor neighbor is given by means of the error parameter β(0≤β<0.5). β upper approximation,β lower approximation,β boundary regions,β negative field,β approximation quality and β rough estimate are defined.The properties of β upper approximation operator and β lower approximation operator,the relationship between this model and other rough sets models,and the relationship between two variable precision rough set models under general relations are discussed in detail.Finally,the examples show that this model apply to information processing.

Key words: approximation spaces, successor neighbor, variable precision rough set model, knowledge discovery

摘要: 介绍了广义粗糙集模型和Ziarko变精度粗糙集模型,找出了它们的不足;借助引入的误差参数β(0≤β<0.5),给出了基于后继邻域的一般二元关系下变精度粗糙集模型的β上近似、β下近似、β边界和β负域的定义以及β近似质量和β粗糙性测度定义;详细讨论了β上、下近似算子的性质、该模型与其他粗糙集模型的关系以及一般二元关系下两种变精度粗糙集模型的关系;最后,举例说明了该模型在信息处理中的应用。

关键词: 近似空间, 后继邻域, 变精度粗糙集模型, 知识发现