The Hausdorff Algebra Fuzzy Distance and its Basic Properties
In this article we recall the definition of algebra fuzzy metric space and its basic properties. In order to introduced the Hausdorff algebra fuzzy metric from fuzzy compact set to another fuzzy compact set we define the algebra fuzzy distance between two fuzzy compact sets after that basic properti...
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| Format: | Article |
| Language: | English |
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Unviversity of Technology- Iraq
2021-07-01
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| Series: | Engineering and Technology Journal |
| Subjects: | |
| Online Access: | https://etj.uotechnology.edu.iq/article_169454_fc6d4ff9cb2b13a5cd74439e7d62e3e8.pdf |
| _version_ | 1797336464728522752 |
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| author | Zainab Khudhair Jehad Kider |
| author_facet | Zainab Khudhair Jehad Kider |
| author_sort | Zainab Khudhair |
| collection | DOAJ |
| description | In this article we recall the definition of algebra fuzzy metric space and its basic properties. In order to introduced the Hausdorff algebra fuzzy metric from fuzzy compact set to another fuzzy compact set we define the algebra fuzzy distance between two fuzzy compact sets after that basic properties of the Hausdorff algebra fuzzy metric between two fuzzy compact sets are proved. Finally the main result in this paper is proved that is if (S, m, ) is a fuzzy complete algebra fuzzy metric space then (AFH(S), h, ) is a fuzzy complete algebra fuzzy metric space. |
| first_indexed | 2024-03-08T08:54:52Z |
| format | Article |
| id | doaj.art-e38288d0be064e30b81dd514d5bcaac7 |
| institution | Directory Open Access Journal |
| issn | 1681-6900 2412-0758 |
| language | English |
| last_indexed | 2024-03-08T08:54:52Z |
| publishDate | 2021-07-01 |
| publisher | Unviversity of Technology- Iraq |
| record_format | Article |
| series | Engineering and Technology Journal |
| spelling | doaj.art-e38288d0be064e30b81dd514d5bcaac72024-02-01T07:17:54ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582021-07-013971185119410.30684/etj.v39i7.2001169454The Hausdorff Algebra Fuzzy Distance and its Basic PropertiesZainab Khudhair0Jehad Kider1Department of Applied Sciences, University of Technology - IraqDepartment of Applied Sciences, University of Technology - IraqIn this article we recall the definition of algebra fuzzy metric space and its basic properties. In order to introduced the Hausdorff algebra fuzzy metric from fuzzy compact set to another fuzzy compact set we define the algebra fuzzy distance between two fuzzy compact sets after that basic properties of the Hausdorff algebra fuzzy metric between two fuzzy compact sets are proved. Finally the main result in this paper is proved that is if (S, m, ) is a fuzzy complete algebra fuzzy metric space then (AFH(S), h, ) is a fuzzy complete algebra fuzzy metric space.https://etj.uotechnology.edu.iq/article_169454_fc6d4ff9cb2b13a5cd74439e7d62e3e8.pdfalgebra fuzzy absolute value spacealgebra fuzzy metric spacehausdorff algebra fuzzy metric space |
| spellingShingle | Zainab Khudhair Jehad Kider The Hausdorff Algebra Fuzzy Distance and its Basic Properties Engineering and Technology Journal algebra fuzzy absolute value space algebra fuzzy metric space hausdorff algebra fuzzy metric space |
| title | The Hausdorff Algebra Fuzzy Distance and its Basic Properties |
| title_full | The Hausdorff Algebra Fuzzy Distance and its Basic Properties |
| title_fullStr | The Hausdorff Algebra Fuzzy Distance and its Basic Properties |
| title_full_unstemmed | The Hausdorff Algebra Fuzzy Distance and its Basic Properties |
| title_short | The Hausdorff Algebra Fuzzy Distance and its Basic Properties |
| title_sort | hausdorff algebra fuzzy distance and its basic properties |
| topic | algebra fuzzy absolute value space algebra fuzzy metric space hausdorff algebra fuzzy metric space |
| url | https://etj.uotechnology.edu.iq/article_169454_fc6d4ff9cb2b13a5cd74439e7d62e3e8.pdf |
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