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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Fuzzy weak semicontinuity
TL;DR: The fuzzy weakly semicontinuous mapping is introduced which is the weaker form of both fuzzy semicont inuous and fuzzy almost continuous mappings in fuzzy topological spaces.
Journal ArticleDOI
C 1 fuzzy manifolds
Mario Ferraro,David H. Foster +1 more
TL;DR: The notion of a C 1 fuzzy manifold is introduced as a natural development of the notions of a fuzzy topological vector space and a fuzzy derivative of a fuzzier continuous mapping between fuzzy topology vector spaces.
Journal Article
A fixed fuzzy point for fuzzy mappings in complete metric spaces
TL;DR: In this paper, a fixed point theorem for fuzzy mappings over a complete metric space is proved and it is shown that there is no such thing as a "f fuzzy point" in the metric space.
Journal Article
The impact of fuzzy set theory on contemporary mathematics [survey]
TL;DR: The shortcomings of classical binary logic and Cantor's set theory in order to handle imprecise and uncertain information are outlined and the basic notions of Zadeh's fuzzy set theory are introduced.
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Fuzzifying topology induced by a strong fuzzy metric
TL;DR: A construction of a fuzzifying topology induced by a strong fuzzy metric is presented and properties of this fuzzification topology, in particular, its convergence structure are studied.
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].