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.read more
Citations
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On intuitionistic fuzzy topologies based on intuitionistic fuzzy reflexive and transitive relations
Wei-Zhi Wu,Lei Zhou +1 more
TL;DR: It is shown that an intuitionistic fuzzy rough approximation space can induce an intuitionism fuzzy topological space in the sense of Lowen if and only if the intuitionistic fuzziness relation in the approximation space is reflexive and transitive.
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Some results on fuzzy topology on fuzzy sets
A. K. Chaudhuri,P. Das +1 more
TL;DR: The concept of Hausdorffness, regularity,normality, complete normality, compactness, connectedness, and some interesting results are obtained in fuzzy topology on fuzzy sets.
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Fuzzy topological spaces
TL;DR: By means of fuzzy points, WC defines kinds of uniformities, discuss their fundamental properties and extend Weil’s theorem on usual topology to fuzzy topological spaces, and hence obtain their separation character.
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Stratified L -prefilter convergence structures in stratified L -topological spaces
Bin Pang,Zhen-Yu Xiu +1 more
TL;DR: A new approach to fuzzy convergence theory in the framework of stratified L-topological spaces is provided and it is proved that the latter can be embedded in the former as a reflective subcategory.
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Sums of L-fuzzy topological spaces
TL;DR: The final topologies constructed in Section 3 of Rodabaugh are used to characterize L-fuzzy topological sum internally and establish connections between L- FYS and L-FTOP and to examine certain additivity property of L-magnifying topological spaces.
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].