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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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Representations of fuzzy topologies

G. Gerla
TL;DR: It is shown that fuzzy convergence and fuzzy continuity with respect given fuzzy topologies are reducible to the convergence and the continuity withrespect to suitable associated topologies.
Journal ArticleDOI

Topological properties of the class of generators of an indistinguishability operator

TL;DR: A characterization theorem for pseudo-metrizable topological spaces in the classical sense and indistinguishability operators is also surprisingly obtained.
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Degrees of fuzzy compactness in L-fuzzy topological spaces

TL;DR: The notion of the degree of fuzzy compactness in L-fuzzy topological spaces is introduced by means of an inequality proposed by Shi in 2007, which is a generalization of the definition of fuzzy Compactness inL-topological spaces.
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Fuzzy semi-preopen sets and fuzzy semi-precontinuous mappings

TL;DR: The aim of this paper is to introduce and discuss the concepts of fuzzy semi-preopen sets and fuzzy Semi-precontinuous mappings.
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].