Note on generalized neighborhoods structures in fuzzy bitopological spaces
This article's main aim is to study the concepts of the generalized neighborhood and generalized quasi-neighborhood in fuzzy bitopological spaces. It also introduces fundamental theorems for determining the relationships between them. Additionally, some significant examples were examined to dem...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
New York Business Global LLC
2023
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| Online Access: | http://psasir.upm.edu.my/id/eprint/108745/ http://psasir.upm.edu.my/id/eprint/108745/1/Note%20on%20Generalized%20Neighborhoods%20Structures.pdf |
| _version_ | 1848865201588273152 |
|---|---|
| author | Ahmed Alharbi, Ahlam Kilicman, Adem |
| author_facet | Ahmed Alharbi, Ahlam Kilicman, Adem |
| author_sort | Ahmed Alharbi, Ahlam |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This article's main aim is to study the concepts of the generalized neighborhood and generalized quasi-neighborhood in fuzzy bitopological spaces. It also introduces fundamental theorems for determining the relationships between them. Additionally, some significant examples were examined to demonstrate the significance of the interconnections, some theorems were also introduced to study some main properties of neighborhood structures. Finally, we also studied the concepts of closure, interior, and each of their critical theories and properties by generalized neighborhood systems in fuzzy bitopological spaces. |
| first_indexed | 2025-11-15T14:00:57Z |
| format | Article |
| id | upm-108745 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:00:57Z |
| publishDate | 2023 |
| publisher | New York Business Global LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1087452024-10-11T08:33:59Z http://psasir.upm.edu.my/id/eprint/108745/ Note on generalized neighborhoods structures in fuzzy bitopological spaces Ahmed Alharbi, Ahlam Kilicman, Adem This article's main aim is to study the concepts of the generalized neighborhood and generalized quasi-neighborhood in fuzzy bitopological spaces. It also introduces fundamental theorems for determining the relationships between them. Additionally, some significant examples were examined to demonstrate the significance of the interconnections, some theorems were also introduced to study some main properties of neighborhood structures. Finally, we also studied the concepts of closure, interior, and each of their critical theories and properties by generalized neighborhood systems in fuzzy bitopological spaces. New York Business Global LLC 2023-07-30 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/108745/1/Note%20on%20Generalized%20Neighborhoods%20Structures.pdf Ahmed Alharbi, Ahlam and Kilicman, Adem (2023) Note on generalized neighborhoods structures in fuzzy bitopological spaces. European Journal of Pure and Applied Mathematics, 16 (3). pp. 1980-1990. ISSN 1307-5543 https://ejpam.com/index.php/ejpam/article/view/4808 10.29020/nybg.ejpam.v16i3.4808 |
| spellingShingle | Ahmed Alharbi, Ahlam Kilicman, Adem Note on generalized neighborhoods structures in fuzzy bitopological spaces |
| title | Note on generalized neighborhoods structures in fuzzy bitopological spaces |
| title_full | Note on generalized neighborhoods structures in fuzzy bitopological spaces |
| title_fullStr | Note on generalized neighborhoods structures in fuzzy bitopological spaces |
| title_full_unstemmed | Note on generalized neighborhoods structures in fuzzy bitopological spaces |
| title_short | Note on generalized neighborhoods structures in fuzzy bitopological spaces |
| title_sort | note on generalized neighborhoods structures in fuzzy bitopological spaces |
| url | http://psasir.upm.edu.my/id/eprint/108745/ http://psasir.upm.edu.my/id/eprint/108745/ http://psasir.upm.edu.my/id/eprint/108745/ http://psasir.upm.edu.my/id/eprint/108745/1/Note%20on%20Generalized%20Neighborhoods%20Structures.pdf |