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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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/4149368 |
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| _version_ | 1832560599953833984 |
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| author | Rodyna A. Hosny Baravan A. Asaad A. A. Azzam Tareq M. Al-Shami |
| author_facet | Rodyna A. Hosny Baravan A. Asaad A. A. Azzam Tareq M. Al-Shami |
| author_sort | Rodyna A. Hosny |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-5ef794900fe9413d9efafd2ef38567c7 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-5ef794900fe9413d9efafd2ef38567c72025-02-03T01:27:08ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/41493684149368Various Topologies Generated from Ej-Neighbourhoods via IdealsRodyna A. Hosny0Baravan A. Asaad1A. A. Azzam2Tareq M. Al-Shami3Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptDepartment of Computer Science, College of Science, Cihan University-Duhok, Duhok, IraqDepartment of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi ArabiaDepartment of Mathematics, Sana’a University, Sana’a, YemenOne 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 |
| spellingShingle | Rodyna A. Hosny Baravan A. Asaad A. A. Azzam Tareq M. Al-Shami Various Topologies Generated from Ej-Neighbourhoods via Ideals Complexity |
| title | 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_short | Various Topologies Generated from Ej-Neighbourhoods via Ideals |
| title_sort | various topologies generated from ej neighbourhoods via ideals |
| url | http://dx.doi.org/10.1155/2021/4149368 |
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