University of Technology-IraqEngineering and Technology Journal1681-690039720210725The Hausdorff Algebra Fuzzy Distance and its Basic Properties1185119416945410.30684/etj.v39i7.2001ENZainab A.KhudhairDepartment of Applied Sciences, University of Technology - IraqJehad R.KiderDepartment of Applied Sciences, University of Technology - IraqJournal Article20210210<em>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, </em><em>) is a fuzzy complete algebra fuzzy metric space then (AFH(S), h, </em><em> ) is a fuzzy complete algebra fuzzy metric space.</em>https://etj.uotechnology.edu.iq/article_169454_e07483e26295104fc47919930d53a53c.pdf