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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 1681-6900 2412-0758 |