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On the isomorphy of categories of probabilistic limit spaces under t-norms - MaRDI portal

On the isomorphy of categories of probabilistic limit spaces under t-norms (Q2825937)

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scientific article; zbMATH DE number 6638688
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English
On the isomorphy of categories of probabilistic limit spaces under t-norms
scientific article; zbMATH DE number 6638688

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    On the isomorphy of categories of probabilistic limit spaces under t-norms (English)
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    13 October 2016
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    probabilistic limit space
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    probabilistic uniform limit space
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    probabilistic Cauchy space
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    limit tower space
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    uniform limit tower space
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    Cauchy tower space
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    convergence approach space
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    approach Cauchy space
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    approach uniform limit space
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    t-norm
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    Probabilistic limit spaces under different triangular norms are studied. It is shown that for cases of either strict or nilpotent t-norms these spaces are isomorphic. Similar questions are discussed for probabilistic Cauchy spaces and probabilistic uniform limit spaces.
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