Characterization of neighborhood operators for covering based rough sets, using duality and adjointness

被引：0

作者：

Restrepo, Mauricio ^{[1
]}

Cornelis, Chris ^{[2
]}

Gomez, Jonatan ^{[2
]}

机构：

[1] Univ Nacl Colombia, Bogota, Colombia

[2] Univ Granada, Granada, Spain

来源：

PROCEEDINGS OF THE FOURTH INTERNATIONAL WORKSHOP ON KNOWLEDGE DISCOVERY, KNOWLEDGE MANAGEMENT AND DECISION SUPPORT (EUREKA-2013) | 2013年 / 51卷

关键词：

rough sets; coverings; approximations; neighborhood operator; order relation; BINARY RELATION; REDUCTION;

D O I：

暂无

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 Sets are an important generalization of Rough Set Theory. Basically, they replace the partition generated from an equivalence relation by a covering. In this context many approximation operators can be defined [16, 26, 27, 28, 34]. In this paper we want to discover relationships among approximation operators defined from neighborhoods. We use the concepts of duality, adjointness and conjugacy to characterize the approximation operators. Moreover we establish an order relation for these approximation operators.

引用

页码：98 / 104

页数：7

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