In this paper we introduce the notions of fuzzy upper limit, fuzzyowe limit and the fuzzy continuous convergence on the set of fuzzycontinuous functions. In examining these aforementioned notions inthe present paper we find on the one hand many properties of themwhilst on the other, the following applicants take place: (α) thecharacterization of fuzzy compact spaces through the contribution offuzzy upper limit and (β) the characterization of the fuzzycontinuous convergence throughout he assistance of fuzzy upper limit.
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