Completeness of Hutton $[0,1]$-quasi-uniformities induced by a crisp uniformity

Completeness of Hutton $[0,1]$-quasi-uniformities induced by a crisp uniformity

In \cite{Kats84}, Katsaras introduced a method for constructing a Hu\-tton $[0,1]$-quasi-uniformity from a crisp uniformity. In this paper we present other different methods for making this based mainly in the concept of a fuzzy uniform structure. Furthermore, we prove that some of these methods pre...

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Veröffentlicht in:Iranian journal of fuzzy systems (Online) 2019-11, Vol.16 (6), p.143
Hauptverfasser: Rodrguez-Lopez, J, Romaguera, S, Sanchis, M
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Romaguera, S
Sanchis, M
description In \cite{Kats84}, Katsaras introduced a method for constructing a Hu\-tton $[0,1]$-quasi-uniformity from a crisp uniformity. In this paper we present other different methods for making this based mainly in the concept of a fuzzy uniform structure. Furthermore, we prove that some of these methods preserve the completeness property of the quasi-uniformity. Moreover, we also show that Katsaras' construction allows to develop a theory of completion of a Hu\-tton [0,1]-quasi-uniform space obtained from a uniform space.
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title Completeness of Hutton $[0,1]$-quasi-uniformities induced by a crisp uniformity
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