Pretopological Spaces Induced by Rough Sets and Their Applications

A. A. Azzam; R. Mareay; Gehad M. Abd-Elhamed; M. Aldawood; Manal E. Ali

doi:10.29020/nybg.ejpam.v18i2.5831

Pretopological Spaces Induced by Rough Sets and Their Applications

A. A. Azzam
, R. Mareay
, Gehad M. Abd-Elhamed
, M. Aldawood
, Manal E. Ali

Mathematics

Kafrelsheikh University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we generate pretopological spaces from a binary relation. We introduce a new approximation space by using pretopological concepts. Some properties and the comparison among different types of lower approximation and the upper approximation are studied. We introduce an application of pretopological spaces in rough approximation. some generalizations of rough sets concepts based on pretopological space are introduced.

Original language	English
Article number	5831
Journal	European Journal of Pure and Applied Mathematics
Volume	18
Issue number	2
DOIs	https://doi.org/10.29020/nybg.ejpam.v18i2.5831
State	Published - Apr 2025

Keywords

Pretopological spaces
Rough sets
Topological space

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10.29020/nybg.ejpam.v18i2.5831

Cite this

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AB - In this paper, we generate pretopological spaces from a binary relation. We introduce a new approximation space by using pretopological concepts. Some properties and the comparison among different types of lower approximation and the upper approximation are studied. We introduce an application of pretopological spaces in rough approximation. some generalizations of rough sets concepts based on pretopological space are introduced.

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KW - Topological space

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Pretopological Spaces Induced by Rough Sets and Their Applications

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Keywords

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