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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Convex fuzzy distance between two convex fuzzy compact set

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pp. 953–963Vol. 27Issue 4June 2024DOI: 10.47974/JIM-1916XML
Received:
06 Mar 2024
Published Online:
30 Jun 2024
Article type:
Research Article
Language:
EN
Article no.:
JIM-1916
Pages:
953–963

Abstract

The first step of this study is to recall the definition and basic theorems for convex fuzzy metric space (Z, M). Then, the definition of the convex fuzzy distance between two sets F and Y as well as the convex fuzzy distance from a point z to a set Y are introduced. Furthermore, the set of all nonempty convex fuzzy compact sets CFC(Z) are proved as a convex fuzzy complete when the convex fuzzy metric space (Z, M) is convex fuzzy complete.

Keywords

Subject Classifications

34A0728E10

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