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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Proceedings ArticleDOI
Topological structures of intuitionistic fuzzy rough sets
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 if and only if the intuitionistic fuzziness relation in the approximation space is reflexive and transitive.
Journal ArticleDOI
Fuzzy Semi Open Soft Sets Related Properties In Fuzzy Soft Topological Spaces
TL;DR: This paper investigates the properties of fuzzy semi open (closed) soft sets, fuzzy semi soft interior (closure), fuzzy semi continuous (open) soft functions and fuzzy semi separation axioms which are important for further research on fuzzy soft topology and forms the theoretical basis for further applications of topology on soft sets.
Journal ArticleDOI
Hesitant Fuzzy Topological Spaces
Jeong-Gon Lee,Kul Hur +1 more
TL;DR: This study defines a hesitant fuzzy topology and base, and obtains the Pasting lemma, and investigates the concept of hesitant fuzzy product space and study some of its properties.
Journal ArticleDOI
Fuzzy ideals and fuzzy limit structures
Yueli Yue,Jinming Fang +1 more
TL;DR: The theory of fuzzy ideal convergence on completely distributive lattices is established and characterizations of some topological notions are given.
Journal ArticleDOI
The lattice of ordinary smooth topologies
TL;DR: In this paper, a collection of OST(X) topologies is studied, and it is shown that OST (X) is a complete lattice, in the sense of a lattice.
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].