The Hausdorff Algebra Fuzzy Distance and its Basic Properties | ||
| Engineering and Technology Journal | ||
| Article 14, Volume 39, Issue 7, July 2021, Pages 1185-1194 PDF (523.89 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.30684/etj.v39i7.2001 | ||
| Authors | ||
| Zainab A. Khudhair; Jehad R. Kider* | ||
| Department of Applied Sciences, University of Technology - Iraq | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| Algebra Fuzzy Absolute Value Space; Algebra Fuzzy Metric Space; Hausdorff Algebra Fuzzy Metric Space | ||
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