On fuzzy convergence
First, summarizing his paper ''On the concept of fuzzy point'' [Fuzzy Sets Syst. 18, 159-172 (1986; Zbl 0606.03014)], the author shows that a ''good definition of fuzzy point'' is impossible if one wants \(\in\) to be a nonfuzzy relation between fuzzy points and fuzzy subsets. Instead, he admits that points and sets are nonfuzzy objects while \(\in\) is a fuzzy relation. So, interpreting in a multivalued logic the concepts of subsets, point, topology and two different formulas expressing the classical convergence, he obtains concepts of convergence for sequences of elements of a set w.r.t. a fuzzy topology. Finally, he investigates convergences preserving operators in functional spaces and the uniqueness of limits.
scientific article; zbMATH DE number 3994511