Topological Structure of Relation-based Generalized Rough Sets

被引：18
|
作者：
Zhang, Yan-Lan [1 ]
Li, Jinjin [2 ]
Li, Changqing [2 ]
机构：
[1] Minnan Normal Univ, Coll Comp, Zhangzhou 363000, Fujian, Peoples R China
[2] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
来源：
FUNDAMENTA INFORMATICAE | 2016年 / 147卷 / 04期
基金：
中国国家自然科学基金;
关键词：
approximation operator; closure operator; generalized rough set; topology; REFLEXIVE; REDUCTION;
D O I：
10.3233/FI-2016-1418
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Rough set theory is an important tool to deal with vagueness and granularity in information systems. Lower and upper approximation operators are two important basic concepts in the rough set theory. The classical Pawlak rough set approximations is based on equivalence relations and has been extended to relation-based generalized rough set approximations. In this paper, properties of relation-based generalized rough set approximations are examined, and topological properties of relation-based generalized rough set approximations presents. Necessary and sufficient conditions for the relation-based generalized upper (lower) approximation operators to be topological closure (interior) operators are proposed.
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页码：477 / 491
页数：15
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