Fuzzy nets and their application

Semi-pre-convergence theory of nets of fuzzy sets in fuzzy topological spaces

“…In 1992, Sarma and Ajmal introduced the notion of fuzzy nets of fuzzy sets based on Q-neighborhood structure [13]. In [2][3][4], Cheng JiShu, Chen Shui-Li, and M.Caldas presented the concepts of α−convergence of nets of fuzzy sets, θ−convergence of nets of fuzzy sets and δ−convergence of nets of fuzzy sets in fuzzy topology, which are generalizations of [10], [11] and [13].…”

On convergence theory in fuzzy topological spaces and its applications

“…The fuzzy set theoretical and fuzzy topological concepts used in this paper are standard and can be found in Zadeh [32], Klir and Yuah [18], Chang [6], Belohlavek [2], Lowen [19] and Pu and Liu [28]. However, we feel it necessary to fix some notions and recall a few concepts from [2], [6], [17], [18], [20], [28], [30], [32].…”

“…The relationship between the two types of convergence was studied by Lowen in [21]. This was also followed by an extensive study of the convergence theory in fuzzy topological spaces by several authors [7], [8], [13], [21]- [24], [28]- [30] from different standpoints. In this paper, we will give new concepts of convergence and adherence for fuzzy filters (prefilters in the sense of Lowen [20]) and fuzzy nets in fuzzy topological spaces.…”