Generalizations of rough sets via topology

Date

2020-07-15

Advisors

Journal Title

Journal ISSN

ISSN

1012-9405

Volume Title

Publisher

Springer

Type

Article

Peer reviewed

Yes

Abstract

In this paper, we present a general framework for the study of rough sets using topological approaches. First,we introduce several concepts and properties of τ−R-open sets. After that, we used topology to generalize the basic rough set concepts and study their properties. It’s application in data reduction and decision analysis is investigated. Finally, a simple example is adopted to demonstrate the effectiveness of the proposed models.

Description

The file attached to this record is the author's final peer reviewed version. The Publisher's final version can be found by following the DOI link.

Keywords

Topological spaces, Rough sets

Citation

Abo-Elhamayel, M. and Yang, Y. (2020) Generalizations of rough sets via topology. Afrika Matematika,

Rights

Research Institute

Institute of Artificial Intelligence (IAI)