The Hausdorff Algebra Fuzzy Distance and its Basic Properties

Zainab Khudhair; Jehad Kider

doi:10.30684/etj.v39i7.2001

Engineering and Technology Journal (Jul 2021)

The Hausdorff Algebra Fuzzy Distance and its Basic Properties

Zainab Khudhair,
Jehad Kider

Affiliations

Zainab Khudhair: Department of Applied Sciences, University of Technology - Iraq
Jehad Kider: Department of Applied Sciences, University of Technology - Iraq

DOI: https://doi.org/10.30684/etj.v39i7.2001
Journal volume & issue: Vol. 39, no. 7
pp. 1185 – 1194

Abstract

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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.

Published in Engineering and Technology Journal

ISSN: 1681-6900 (Print); 2412-0758 (Online)
Publisher: Unviversity of Technology- Iraq
Country of publisher: Iraq
LCC subjects: Science; Technology
Website: https://etj.uotechnology.edu.iq

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