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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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Open maps, closed maps and local compactness in fuzzy topological spaces

TL;DR: In this article, the authors define caracterisations des applications floues ouvertes et fermees et montre que la normalite definie par Hutton est invariante sous des applications F-fermees, F-continues.
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On fuzzy pairwise a-continuity and fuzzy pairwise pre-continuity

TL;DR: In this paper, the concepts of fuzzy α-open (α-closed) sets, fuzzy pre- open (pre-closed), fuzzyα-continuous ( pre-Continuous) mappings due to Bin Shahna have been generalized to the fuzzy bitopological setting and some of its basic properties are studied.
Book ChapterDOI

Fuzzy topological relations between fuzzy spatial objects

TL;DR: This paper proposes basic fuzzy spatial object types based on fuzzy topology, which are the natural extension of current non-fuzzy spatial object kinds and formalized based on the 9-intersection approach.
Journal ArticleDOI

Paracompactness in fuzzy topological spaces

TL;DR: In a class of spaces (so-called “weakly induced spaces”) which connects crisp spaces with fuzzy spaces, both a fuzzy regular Lindeloff property and a fuzzy pseudo-metric property imply two kinds of paracompactnesses.
Journal ArticleDOI

On fuzzy semi-irresolute and strongly irresolute functions

TL;DR: Two classes of functions between fuzzy topological spaces are introduced, under the terminologies fuzzy semi-irresolute and strongly irresolute functions, each of which is independent of the fuzzy continuity of Chang (1968).
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].