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Fuzzy topological spaces

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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1968-10-01 and is currently open access. It has received 1997 citations till now. The article focuses on the topics: Topological tensor product & Topological space.

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a -continuity and ca -continuity in fuzzifying topology

TL;DR: It is proved that the family of all α-sets in fuzzifying topology may not be a fuzzifier and some decompositions of fuzzy continuity are introduced.
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On Single-Valued Neutrosophic Ideals in Šostak Sense

TL;DR: The notion of single-valued neutrosophic ideals sets in Sostak’s sense is introduced, which is considered as a generalization of fuzzy ideals in Sstak's sense and intuitionistic fuzzy ideals.
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Zariski closure, completeness and compactness

TL;DR: In this article, the categorical theory of closure operators is used to introduce and study separated, complete and compact objects with respect to the Zariski closure operator naturally defined in any category X.
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The hyperspace of the regions below of all lattice-value continuous maps and its Hilbert cube compactification

TL;DR: In this paper, the family of all lower closed sets including X x 0 in the product space X x ΛL and ↓ C(X, L) the one of the regions below of all continuous maps from X to L is shown to be homeomorphic to [-1, 1]ω.
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On L-fuzzy topological spaces☆

TL;DR: L -fuzzy sets and, subsequently, L - fuzzy topological spaces are considered in this paper, where L is a complete and completely distributive non-atomic Boolean algebra.
References
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L-fuzzy sets

TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].