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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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I type of strong connectivity in L-fuzzy topological spaces

TL;DR: In this paper, the authors introduce and study I type of strong connectivity in L-fuzzy topological space and show that strong connectivity preserves many good properties of connected sets in general topological spaces.

Characterizations of b-Soft Separation Axioms in Soft Topological Spaces

TL;DR: The main purpose of as discussed by the authors is to introduce new soft separation axioms based on the b-open soft sets which are more general than of the open soft sets, and they show that the properties of soft b-Ti-spaces (i = 1, 2, 3, 4) are hereditary properties.
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Fuzzy syntopogeneous structures

TL;DR: In this article, Fuzzy SYNTOPOGENEOUS STRUCTURES are used to describe the structure of a polygonal lattice, and the lattice is shown to be polytope.
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Categories of fuzzy topology in the context of graded ditopologies on textures

TL;DR: In this paper, the notion of graded ditopology is extended to the case of a priori unrelated grading func- tions, and the relation between the two approaches is discussed in detail.
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L-Fuzzy PS-Compactnes

TL;DR: The new compactness which is L- fuzzy PS-compactness in L-fuzzy topological spaces is introduced and some of its characteristic properties and fundamental properties are studied.
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].