Print ISSN: 1681-6900

Online ISSN: 2412-0758

Keywords : Hausdorff Algebra Fuzzy Metric Space


The Hausdorff Algebra Fuzzy Distance and its Basic Properties

Zainab A. Khudhair; Jehad R. Kider

Engineering and Technology Journal, 2021, Volume 39, Issue 7, Pages 1185-1194
DOI: 10.30684/etj.v39i7.2001

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.