A general approach to attribute reduction in rough set theory  

作　　者：ZHANG WenXiu QIU GuoFang WU WeiZhi 

机构地区：[1]Institute for Information and System Sciences, Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China [2]School of Management, Xi'an University of Architecture and Technology, Xi'an 710055, China [3]Information College, Zhejiang Ocean University, Zhoushan 316004, China

出　　处：《Science in China(Series F)》2007年第2期188-197,共10页中国科学（F辑英文版）

基　　金：Major State Basic Research Development Program of China (973 Program) (Grant No. 2002CB312200);the National Natu-ral Science Foundation of China (Grant Nos. 60673096 and 60373078)

摘　　要：The concept of a consistent approximation representation space is introduced. Many types of information systems can be treated and unified as consistent approximation representation spaces. At the same time, under the framework of this space, the judgment theorem for determining consistent attribute set is established, from which we can obtain the approach to attribute reductions in information systems. Also, the characterizations of three important types of attribute sets （the core attribute set, the relative necessary attribute set and the unnecessary attribute set） are examined.The concept of a consistent approximation representation space is introduced. Many types of information systems can be treated and unified as consistent approximation representation spaces. At the same time, under the framework of this space, the judgment theorem for determining consistent attribute set is established, from which we can obtain the approach to attribute reductions in information systems. Also, the characterizations of three important types of attribute sets （the core attribute set, the relative necessary attribute set and the unnecessary attribute set） are examined.

关 键 词：rough sets attribute reduction information systems approximation representation spaces 

分 类 号：O144[理学—数学] O236[理学—基础数学]