Measuring roughness of generalized rough sets induced by a covering

被引：201

作者：

Xu, Wei-Hua ^{[1
]}

Zhang, Wen-Xiu ^{[1
]}

机构：

[1] Xian Jiaotong Univ, Sch Sci, Xian 710049, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2007年 / 158卷 / 22期

关键词：

rough set; covering lower and upper approximations; fuzzy set; degree of rough membership;

D O I：

10.1016/j.fss.2007.03.018

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we propose new lower and upper approximations and obtain some important properties in generalized rough set induced by a covering. Especially, these properties are compared with ones of Pawlak's rough sets and Bonikowski's covering generalized rough sets, respectively. Moreover, we define a measure of roughness based on generalized rough sets with the new approximations and discuss some significant properties of the measure. (C) 2007 Elsevier B.V. All tights reserved.

引用

页码：2443 / 2455

页数：13

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