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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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Stratified $(L,M)$-fuzzy Q-convergence spaces

TL;DR: In this paper, it is shown that the category of stratified $(L,M)$-fuzzy Q-convergence spaces is a bireflective subcategory of the categories of topological and contiguity spaces, and the former is a Cartesian-closed topological category.
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Fragmentary Fuzzy Pseudometrics: Basics of the Theory and Applications in Combinatorics on Words

TL;DR: Basic properties of fragmentary fuzzy pseudometrics are studied, the induced fuzzy supratopologies and fuzzy topologies are described, as well as fragments of this pseudometric are applied for the description of the analytic structure of the sets of right-infinite words.
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Topological aspects of non-convergent sequences—a comment on Burgin's concept of fuzzy limits

TL;DR: This paper explains an application of topologies on [ 0 , 1 ] -valued sets to metric spaces and shows that every bounded sequence has always local limit points represented by singletons of the underlying [ 0, 1] -valued set.
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On Soft Separation Axioms via Fuzzy α-Open Soft Sets

TL;DR: The relations hip between fuzzy α-soft interior fuzzyα-soft closure, which are basic for further research on fuzzysoft topology and will fortify the footing of the theory of fuzzy soft topological space are studied.
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Completeness in probabilistic quasi-uniform spaces

TL;DR: It is proved that this kind of Cauchy completeness in probabilistic quasi-uniform space by using pair ⊤-filters is equivalent to the ⊬-completeness of induced Probabilistic uniform space introduced by Hohle.
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].