journal-of-interdisciplinary-mathematics

Journal of Interdisciplinary Mathematics

2169-012X 0972-0502

Taru Publications

10.47974/JIM-1916

Convex fuzzy distance between two convex fuzzy compact set

Eidi

Jaafer Hmood

Department of Mathematics, College of Education, Mustensiriyah University, Baghdad, Iraq Hameed

Ehsan Mejeed

Department of Mathematics, College of Computer Science and Mathematics, University of Thi-Qar, Thi-Qar, Iraq Kider

Jehad R.

Department of Applied Sciences, Branch of Mathematics and Computer Applications, University of Technology, Baghdad, Iraq

27 4 953 963

30 06 2024

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.

Convex fuzzy metric Convex fuzzy distance Convex fuzzy complete space Convex fuzzy bounded Convex fuzzy compact space

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