Some Properties of Convex Fuzzy Compact Spaces

Hawraa Yousif  Daher; Jehad R.  Kider

doi:10.24996/ijs.2025.66.7.16

Authors

Hawraa Yousif Daher Branch of Mathematics and Computer Applications, Department of Applied Sciences,University of Technology, Iraq
Jehad R. Kider Branch of Mathematics and Computer Applications, Department of Applied Sciences,University of Technology, Iraq https://orcid.org/0000-0002-3173-5654

DOI:

https://doi.org/10.24996/ijs.2025.66.7.16

Keywords:

Convex fuzzy normed space, Convex fuzzy compact space, Totally convex fuzzy bounded, Convex fuzzy complete space, Relatively convex fuzzy compact

Abstract

The first goal in this paper is using the definition of convex fuzzy normed space to present the definition of convex fuzzy compact space. After that an example is introduced to improve the existence of such space. The second aim is to introduce important concepts and prove properties of convex fuzzy compact space. Moreover, we proved if is convex fuzzy compact then is totally convex fuzzy bounded, as well as we prove if is convex fuzzy compact then is convex fuzzy complete.