The Lower Approximation Number in Covering-Based Rough Set

被引：0
|
作者：
Liu, Hui [1 ]
Zhu, William [1 ]
机构：
[1] Minnan Normal Univ, Lab Granular Comp, Zhangzhou, Peoples R China
来源：
ROUGH SETS AND KNOWLEDGE TECHNOLOGY, RSKT 2015 | 2015年 / 9436卷
关键词：
Covering; Rough set; The lower approximation number; Granular computing; ATTRIBUTE REDUCTION; DECISION SYSTEMS;
D O I：
10.1007/978-3-319-25754-9_20
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Covering-based rough set has attracted much research interest with significant achievements. However, there are few analysis that have been conducted to quantify covering-based rough set. The approximation number is viewed as a quantitative tool for analyzing the covering-based rough set. In this paper, we focus on the lower approximation number. Firstly, we investigate some key properties of the lower approximation number. Secondly, we establish a lattice and two semilattice structures in covering-based rough set with the lower approximation number. Finally, based on the lower approximation number, a pair of matroid approximation operators is constructed. Moreover, we investigate the relationship between the pair of matroid approximation operators and a pair of lattice approximation operators.
引用
收藏
页码：222 / 230
页数：9
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