Similarity of binary relations based on rough set theory and topology: an application for topological structures of matroids

被引：0
|
作者：
Bin Qin
Guoen Xia
Kesong Yan
机构：
[1] Guangxi University of Finance and Economics,School of Information and Statistics
[2] Guangxi University of Finance and Economics,Department of Academic Affairs
来源：
Soft Computing | 2016年 / 20卷
关键词：
Binary relation; Similarity; Rough set; Matroid; Topology;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose an integration of rough sets, matroids and topology to exploit the advantages of three theories. First, we consider topologies induced by binary relations and illustrate that binary relations can be researched by means of topology. Next, similarity of binary relations based on rough set theory and topology is introduced and the fact that every binary relation is solely similar to some preorder relation is proved. Finally, as an application of the similarity, topological structures of matroids are given.
引用
收藏
页码：853 / 861
页数：8
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