Convergences in fuzzy topological spaces

In this paper we introduce the notions of fuzzy upper limit, fuzzy lower limit and the fuzzy continuous convergence on the set of fuzzy continuous functions. In examining these aforementioned notions in the present paper we find on the one hand many properties of them whilst on the other, the following applications take place: (alpha) the characterization of fuzzy compact spaces through the contribution of fuzzy upper limit and (beta) the characterization of the fuzzy continuous convergence through the assistance of fuzzy upper limit. (C) 1999 Elsevier Science B.V. All rights reserved