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In this paper, we introduce and study the notion of weakly fuzzy semi-I-open sets and weakly fuzzy semi-I-continuous functions to obtain a decomposition of fuzzy continuity. We also investigate the fundamental properties of such functions.
In this paper, we introduce and study the notion of fuzzy b-I-open sets, which is properly placed between fuzzy openness and fuzzy b-openness regardless the fuzzy topological ideal. We deduce some characterization theorems for such concepts exactly analogous to general topology. And we define the notion of fuzzy b-I-continuous function via fuzzy b-I-open sets and some of its properties are investigated...
The convergence theory not only is a significantly basic theory of fuzzy topology and fuzzy analysis but also has wide applications in fuzzy inference and some other aspects. In this paper, the β-convergence theory of L-fuzzy ideals is explored by the concept of β-remote-neighborhood, and the relationships of L-fuzzy ideals and L-fuzzy nets are discussed. In addition, some properties of the notions...
The convergence theory is a basic theory of fuzzy topology and fuzzy analysis. In this paper we introduce the notions of fuzzy SP-upper limit, fuzzy SP-lower limit and the fuzzy SP-convergent nets of fuzzy sets. We also study the properties of fuzzy SP-upper limit, fuzzy SP-lower limit and the fuzzy SP-convergent nets of fuzzy sets.
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