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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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A fixed point theorem for contractive-type fuzzy mappings

TL;DR: It is shown that a contractive-type fuzzy mapping has a fixed point on a complete metric linear space and is compatible with classical fuzzy mapping schemes.
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Fuzzy topology redefined

TL;DR: A new definition of fuzzy topology is given by introducing a concept of gradation of openness of fuzzy subsets, and then study fuzzy continuity.
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Cubic bipolar fuzzy ordered weighted geometric aggregation operators and their application using internal and external cubic bipolar fuzzy data

TL;DR: Two cubic bipolar fuzzy ordered weighted geometric aggregation operators are proposed, including, $$\mathcal {P}$$P-CBFOWG operator and $$\ mathcal {R}$$R-CBFAWG operator, to aggregate cubicipolar fuzzy information with both perspectives, i.e., ICBF data and ECBF data.
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L-fuzzy interiors and L-fuzzy closures

TL;DR: Three characterizations of the category L-FTOP of L-fuzzy topological spaces and their L- fuzzy continuous mappings are presented by means of the categories L-FNS, L- FIS and L-FCS.
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].