The hausdorff algebra fuzzy distance and its basic properties

Joint Authors

Khudayr, Zaynab A.
Khidr, Jihad Ramadan

Source

Engineering and Technology Journal

Issue

Vol. 39, Issue 7 (31 Jul. 2021), pp.1185-1194, 10 p.

Publisher

University of Technology

Publication Date

2021-07-31

Country of Publication

Iraq

No. of Pages

10

Main Subjects

Physics

Topics

Abstract EN

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 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.

American Psychological Association (APA)

Khudayr, Zaynab A.& Khidr, Jihad Ramadan. 2021. The hausdorff algebra fuzzy distance and its basic properties. Engineering and Technology Journal،Vol. 39, no. 7, pp.1185-1194.
https://search.emarefa.net/detail/BIM-1281545

Modern Language Association (MLA)

Khudayr, Zaynab A.& Khidr, Jihad Ramadan. The hausdorff algebra fuzzy distance and its basic properties. Engineering and Technology Journal Vol. 39, no. 7 (2021), pp.1185-1194.
https://search.emarefa.net/detail/BIM-1281545

American Medical Association (AMA)

Khudayr, Zaynab A.& Khidr, Jihad Ramadan. The hausdorff algebra fuzzy distance and its basic properties. Engineering and Technology Journal. 2021. Vol. 39, no. 7, pp.1185-1194.
https://search.emarefa.net/detail/BIM-1281545

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 1149

Record ID

BIM-1281545