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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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Citations
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On Tri-α-Open Sets in Fuzzifying Tritopological Spaces

TL;DR: In this paper, this paper introduced and studied (1,2,3)-α-open set, (3,3-3)- α-neighborhood system, (2,2-3-α-derived), and (4,4-4-2)-β-derived systems, which study the convergence of filters in fuzzifying tritopological spaces.

Semicompactness in Fuzzy Topological Spaces

TL;DR: It is ultimately show that so far as the mutual relationships among existing allied classes of fuzzy sets are concerned, the class of semicompact fuzzy sets occupies a natural position in the hierarchy.
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Some features of fuzzy compactness

TL;DR: In this paper, several features of fuzzy compactness to established fuzzy analogues of wellknown theorems on (usual) compact topological spaces have been described. But the authors do not consider the relation between fuzzy representations and fuzzy functions.
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Fuzzy proximity ordered spaces

TL;DR: The aim of this paper is to introduce the idea of order in a fuzzy proximity space and construct new spaces in the area of fuzzy topological and order structures, the so-called fuzzy proximity ordered spaces.
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Complete Hausdorffness and Complete Regularity on Supra Topological Spaces

TL;DR: In this paper, the authors introduce the complete Hausdorffness and complete regularity on supra topological spaces and discuss their fundamental properties with the help of examples, and prove that they are closed under the finite product space.
References
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Journal ArticleDOI

L-fuzzy sets

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