Generalized compactness in fuzzy bitopological spaces
The main objective of this research is to study some types of generalized closed sets in fuzzy bitopology including (i, j)-gα-cld, (i, j)-gs-cld, (i, j)-gp-cld, and (i, j)-gβ-cld. We then present basic theorems for determining their relationships and explain their properties, such as closure and int...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Published: |
New York Business Global
2024
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/106249/ |
| _version_ | 1848864726682959872 |
|---|---|
| author | Alharbi, Ahlam Ahmed Kilicman, Adem |
| author_facet | Alharbi, Ahlam Ahmed Kilicman, Adem |
| author_sort | Alharbi, Ahlam Ahmed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The main objective of this research is to study some types of generalized closed sets in fuzzy bitopology including (i, j)-gα-cld, (i, j)-gs-cld, (i, j)-gp-cld, and (i, j)-gβ-cld. We then present basic theorems for determining their relationships and explain their properties, such as closure and interior. In addition, there are many interesting counterexamples. The last part of the research focuses on compactness as an application of the types of fuzzy generalized closed sets in fuzzy bitopological spaces and their types and explores the relationships between these concepts, their important theories, and some relevant counterexamples. This approach provides a better characterization of fuzzy compactness and allows for more precise characterization in fuzzy bitopology. The results of this study are new to the domain of fuzzy bitopology. |
| first_indexed | 2025-11-15T13:53:24Z |
| format | Article |
| id | upm-106249 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:53:24Z |
| publishDate | 2024 |
| publisher | New York Business Global |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1062492024-05-12T10:31:18Z http://psasir.upm.edu.my/id/eprint/106249/ Generalized compactness in fuzzy bitopological spaces Alharbi, Ahlam Ahmed Kilicman, Adem The main objective of this research is to study some types of generalized closed sets in fuzzy bitopology including (i, j)-gα-cld, (i, j)-gs-cld, (i, j)-gp-cld, and (i, j)-gβ-cld. We then present basic theorems for determining their relationships and explain their properties, such as closure and interior. In addition, there are many interesting counterexamples. The last part of the research focuses on compactness as an application of the types of fuzzy generalized closed sets in fuzzy bitopological spaces and their types and explores the relationships between these concepts, their important theories, and some relevant counterexamples. This approach provides a better characterization of fuzzy compactness and allows for more precise characterization in fuzzy bitopology. The results of this study are new to the domain of fuzzy bitopology. New York Business Global 2024 Article PeerReviewed Alharbi, Ahlam Ahmed and Kilicman, Adem (2024) Generalized compactness in fuzzy bitopological spaces. European Journal of Pure and Applied Mathematics, 17 (1). pp. 30-41. ISSN 1307-5543 https://ejpam.com/index.php/ejpam/article/view/5027 10.29020/nybg.ejpam.v17i1.5027 |
| spellingShingle | Alharbi, Ahlam Ahmed Kilicman, Adem Generalized compactness in fuzzy bitopological spaces |
| title | Generalized compactness in fuzzy bitopological spaces |
| title_full | Generalized compactness in fuzzy bitopological spaces |
| title_fullStr | Generalized compactness in fuzzy bitopological spaces |
| title_full_unstemmed | Generalized compactness in fuzzy bitopological spaces |
| title_short | Generalized compactness in fuzzy bitopological spaces |
| title_sort | generalized compactness in fuzzy bitopological spaces |
| url | http://psasir.upm.edu.my/id/eprint/106249/ http://psasir.upm.edu.my/id/eprint/106249/ http://psasir.upm.edu.my/id/eprint/106249/ |