The Hausdorff Algebra Fuzzy Distance and its Basic Properties

Authors

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

Document Type

Research Paper

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.

Recommended Citation

Khudhair, Zainab and Kider, Jehad () "The Hausdorff Algebra Fuzzy Distance and its Basic Properties," Engineering and Technology Journal: Vol. 39: Iss. 7, Article 14.
DOI: https://doi.org/10.30684/etj.v39i7.2001

DOI

10.30684/etj.v39i7.2001

First Page

1185

Last Page

1194