Ying, Mingsheng A new approach for fuzzy topology. II. (English) Zbl 0752.54002 Fuzzy Sets Syst. 47, No. 2, 221-232 (1992). This paper is a continuation of [the author, ibid. 39, 303-321 (1991; Zbl 0718.54017)] where the concept of a fuzzifying topology is introduced. (A fuzzifying topology on a set \(X\) is a mapping \({\mathcal T}: 2^ X\to I\) satisfying “natural” axioms.) Here the author considers the notions of interior, boundary, connectedness, and axioms of countability in the context of fuzzifying topologies. It is important to emphasize that all these concepts are defined by means of fuzzy predicates, i.e. are essentially fuzzy, as different from the properties of the same name considered in the traditional (i.e. Chang-Goguen’s) approach to fuzzy topology. Besides, the operation of taking subspaces in the category of fuzzifying topological spaces is studied in the paper. Reviewer: A.Šostak (Riga) Cited in 3 ReviewsCited in 44 Documents MSC: 54A40 Fuzzy topology 03B52 Fuzzy logic; logic of vagueness 03B50 Many-valued logic Keywords:fuzzifying topology Citations:Zbl 0718.54017 PDF BibTeX XML Cite \textit{M. Ying}, Fuzzy Sets Syst. 47, No. 2, 221--232 (1992; Zbl 0752.54002) Full Text: DOI References: [1] Kelley, J. L., General Topology (1955), Van Nostrand: Van Nostrand New York · Zbl 0066.16604 [2] Ying, M. S., A new approach for fuzzy topology (I), Fuzzy Sets and Systems, 39, 303-321 (1991) · Zbl 0718.54017 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.