Quasi fuzzy delta compact spaces and a few related properties

In this paper, we introduce the concept of various types fuzzy delta $(\delta)$ compactness such as Quasi fuzzy delta compact, Quasi fuzzy countably delta compact, Weakly fuzzy delta compact, $a$-delta compact, Strong fuzzy delta compact, Ultra fuzzy delta compact and Fuzzy delta compact and characterize these types of fuzzy delta compactness using the notion of fuzzy upper limit of net of some types of delta $(\delta)$ closed sets

On some applications of fuzzy points

[EN] The notion of preopen sets play a very important role in General Topology and Fuzzy Topology. Preopen sets are also called nearly open and locally dense. The purpose of this paper is to give some applications of fuzzy points in fuzzy topological spaces. Moreover, in section 2 we offer some properties of fuzzy preclosed sets through the contribution of fuzzy points and we introduce new separation axioms in fuzzy topological spaces. Also using the notions of weak and strong fuzzy points, we investigate some properties related to the preclosure of such points, and also their impact on separation axioms. In section 3, using the notion of fuzzy points, we introduce and study the notions of fuzzy pre-upper limit, fuzzy pre-lower limit and fuzzy pre-limit. Finally in section 4, we introduce the fuzzy pre-continuous convergence on the set of fuzzy pre-continuous functions and give a characterization of the fuzzy pre-continuous convergence through the assistance of fuzzy pre-upper limit.S. P. Moshokoa has been supported by the South African National Research Foundation under grant number 2053847. Also, the authors thank the referee for making several suggestions which improved the quality of this paper.Ganster, M.; Georgiou, D.; Jafari, S.; Moshokoa, S. (2015). On some applications of fuzzy points. Applied General Topology. 6(2):119-133. https://doi.org/10.4995/agt.2005.1951SWORD1191336

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