Various Topologies Generated from Ej-Neighbourhoods via Ideals

Various Topologies Generated from Ej-Neighbourhoods via Ideals

One of the considerable subjects in mathematics is the study of topology. Deducing topology from arbitrary binary relations has enticed the attention of many researchers. So, we devote this article to generate some kinds of topologies from ideals and Ej-neighborhoods which are induced from any binar...

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Main Authors: Rodyna A. Hosny, Baravan A. Asaad, A. A. Azzam, Tareq M. Al-Shami
Format: Article
Language:English
Published: Hindawi-Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/4149368
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spelling doaj-5ef794900fe9413d9efafd2ef38567c72021-06-21T02:25:37ZengHindawi-WileyComplexity1099-05262021-01-01202110.1155/2021/4149368Various Topologies Generated from Ej-Neighbourhoods via IdealsRodyna A. Hosny0Baravan A. Asaad1A. A. Azzam2Tareq M. Al-Shami3Department of MathematicsDepartment of Computer ScienceDepartment of MathematicsDepartment of MathematicsOne of the considerable subjects in mathematics is the study of topology. Deducing topology from arbitrary binary relations has enticed the attention of many researchers. So, we devote this article to generate some kinds of topologies from ideals and Ej-neighborhoods which are induced from any binary relation. We define new types of approximations and accuracy measures from these topologies and then compare them with their counterparts induced directly from Ej-neighborhoods and ideals. Also, we show that the approximations and accuracy measures given, herein, are better than those introduced in some previous studies under any arbitrary relation.http://dx.doi.org/10.1155/2021/4149368
collection DOAJ
language English
format Article
sources DOAJ
author Rodyna A. Hosny
Baravan A. Asaad
A. A. Azzam
Tareq M. Al-Shami
spellingShingle Rodyna A. Hosny
Baravan A. Asaad
A. A. Azzam
Tareq M. Al-Shami
Various Topologies Generated from Ej-Neighbourhoods via Ideals
Complexity
author_facet Rodyna A. Hosny
Baravan A. Asaad
A. A. Azzam
Tareq M. Al-Shami
author_sort Rodyna A. Hosny
title Various Topologies Generated from Ej-Neighbourhoods via Ideals
title_short Various Topologies Generated from Ej-Neighbourhoods via Ideals
title_full Various Topologies Generated from Ej-Neighbourhoods via Ideals
title_fullStr Various Topologies Generated from Ej-Neighbourhoods via Ideals
title_full_unstemmed Various Topologies Generated from Ej-Neighbourhoods via Ideals
title_sort various topologies generated from ej-neighbourhoods via ideals
publisher Hindawi-Wiley
series Complexity
issn 1099-0526
publishDate 2021-01-01
description One of the considerable subjects in mathematics is the study of topology. Deducing topology from arbitrary binary relations has enticed the attention of many researchers. So, we devote this article to generate some kinds of topologies from ideals and Ej-neighborhoods which are induced from any binary relation. We define new types of approximations and accuracy measures from these topologies and then compare them with their counterparts induced directly from Ej-neighborhoods and ideals. Also, we show that the approximations and accuracy measures given, herein, are better than those introduced in some previous studies under any arbitrary relation.
url http://dx.doi.org/10.1155/2021/4149368
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AT baravanaasaad varioustopologiesgeneratedfromejneighbourhoodsviaideals
AT aaazzam varioustopologiesgeneratedfromejneighbourhoodsviaideals
AT tareqmalshami varioustopologiesgeneratedfromejneighbourhoodsviaideals
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