集值信息系统及其属性约简  

Set-Valued Information Systems and Its Attribute Reduction

作　　者：管延勇[1] 王洪凯[1] 史开泉[2] 

机构地区：[1]济南大学理学院,山东济南250022 [2]山东大学数学与系统科学学院,山东济南250100

出　　处：《数学的实践与认识》2008年第2期101-107,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(70271048);山东省教育厅科研发展计划(J06P01);济南大学博士基金(B0616)

摘　　要：阐明集值信息系统具有知识表达的实际意义;引入关于相容关系的最大相容分类方法对论域中的对象分类,以保证每个相容类中的对象具有共同的属性特征;讨论集值信息系统的属性约简问题,利用区分函数,给出核及约简的求法.In this paper we study set-valued information systems and its attribute reduction. Firstly, we expound that the study of set-valued information systems is meaningful both in theory and in applications; secondly, and introduce the maximal tolerance classification approach to classify objects of universe in order to ensure that all objects in the same class posses the common attribute values; finally, we discuss attribute reduction of set-valued information systems, and give a calculating approach of core and reduction of attribute by using the discernibility function.

关 键 词：集值信息系统 最大相容类 属性约简 区分函数 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]