On completion of fuzzy quasi-metric spaces (Q818418)

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scientific article; zbMATH DE number 5013561
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On completion of fuzzy quasi-metric spaces
scientific article; zbMATH DE number 5013561

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    On completion of fuzzy quasi-metric spaces (English)
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    20 March 2006
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    A sequence \(\{x_n\}\) in a fuzzy quasi-metric space \((X,M)\) is called a Cauchy sequence if there exists a sequence \(\{y_m\}\) such that \(\lim_{m,n}M(y_m,x_n,t)=1\) for all \(t>0\). By means of the above notion, the authors introduce the completion of a fuzzy quasi-metric space, and investigate its properties.
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    fuzzy quasi-metric space
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    Cauchy sequence
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    completion of a quasi-metric space
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