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.
Daher et al. (Wed,) studied this question.
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