Rough set theory based on two universal sets and its applications

被引：106

作者：

Liu, Guilong ^{[1
]}

机构：

[1] Beijing Language & Culture Univ, Sch Informat Sci, Beijing 100083, Peoples R China

来源：

KNOWLEDGE-BASED SYSTEMS | 2010年 / 23卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Rough set; Lower and upper approximations; Fuzzy set; Boolean matrix; Dempster-Shafer theory of evidence;

D O I：

10.1016/j.knosys.2009.06.011

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

For two universal sets U and V, we define the concept of solitary set for any binary relation from U to V. Through the solitary sets, we study the further properties that are interesting and valuable in the theory of rough sets. As an application of crisp rough set models in two universal sets, we find solutions of the simultaneous Boolean equations by means of rough set methods. We also study the connection between rough set theory and Dempster-Shafer theory of evidence. In particular, we extend some results to arbitrary binary relations on two universal sets, not just serial binary relations. We consider the similar problems in fuzzy environment and give an example of application of fuzzy rough sets in multiple criteria decision making in the case of clothes. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：110 / 115

页数：6

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