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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Journal ArticleDOI
Many-valued convex structures induced by fuzzy inclusion orders
Kai Wang,Fu-Gui Shi +1 more
Book ChapterDOI
Classical and Fuzzy Differential Methods in Shape Analysis
TL;DR: This study considers four means of defining differential operators for extracting local aspects of shape in ill-specified environments: fuzzy differentiation as kernel smoothing; differentiation in the sense of weak or generalized derivatives; differentiation for fuzzy functions between normed spaces; and fuzzy differentiation for mappings between fuzzy manifolds.
Journal ArticleDOI
On compactness of induced I ( L )-fuzzy topological spaces
TL;DR: The author obtains that the induced I(L)-fuzzy topological space is strong fuzzy compact (resp. fuzzy compact, N-compact) if and only if the L-fuzzY topologicalspace is strong fuzziness compact.
Journal ArticleDOI
Fuzzy (r, s)-irresolute maps
Seok Jong Lee,Jin Tae Kim +1 more
TL;DR: This paper introduces the concepts of fuzzy (r, s)-irresolute, fuzzy ( r, s))-presemiopen, fuzzy almost (r), s)-open, and fuzzy weakly (r) s)-continuous maps on intuitionistic fuzzy topological spaces in Sostak’s sense.
Journal ArticleDOI
A tribute to Zadeh's extension principle
TL;DR: One of the brightest concepts launched by L. Zadeh, namely, the extension principle, is highlighted, which means that every one-to-one correspondence and, more generally,every one- to-many correspondence can be extended to fuzzy sets, i.e. sets without precise boundaries.
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].