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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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Citations
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Some Fixed Point Theorems for Expansion Mappings

TL;DR: In this article, the authors proved some fixed point theorems for expansion mappings in complete fuzzy metric spaces, and also found a common fixed point theorem for expansion mapping in fuzzy spaces.
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On the fuzziness of solutions of -fuzzy relation equations on finite spaces

TL;DR: By taking into account the fuzzy entropy concept, a new lattice structure is built and some fuzzy topological results are also presented.
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The theory of global fuzzy neighborhood structures. III: fuzzy uniform structures

TL;DR: Fuzzy uniform structures are given as special fuzzy filters of special interest are those fuzzy uniform structures which are sup-fuzzy filters which can be characterized by a related notion of fuzzy syntopogenous structure.
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Generating fuzzy topologies with semi-closure operators

TL;DR: In this paper, necessary and sufficient conditions under which a collection of semi-closure operators can generate a fuzzy topology are given, and the class of topologies generated is shown to be closed under suprema and its largest member characterized.
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Some properties of M-fuzzifying convexities induced by M-orders

TL;DR: The notions of geometric interval spaces, convex geometries, and base-point orders in the theory of convexity spaces are generalized to M-fuzzifying convexities spaces using M- fuzzifying restricted hull operators.
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].