On the Size of Subclasses of Quasi-Copulas and Their Dedekind–MacNeille Completion

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 18 Dec 2020 Austria, Spain, Italy English Publisher:MDPI AGJournal:Mathematics, volume 8, page 2,238 (eissn: 2227-7390,

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Authors: Fabrizio Durante; Juan Fernández-Sánchez; Wolfgang Trutschnig; Manuel Úbeda-Flores;

doi: 10.3390/math8122238

handle: 10835/9280 , 11587/453075

On the Size of Subclasses of Quasi-Copulas and Their Dedekind–MacNeille Completion

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Abstract

We study some topological properties of the class of supermodular n-quasi-copulas and check that the topological size of the Dedekind–MacNeille completion of the set of n-copulas is small, in terms of the Baire category, in the Dedekind–MacNeille completion of the set of the supermodular n-quasi-copulas, and in turn, this set and the set of n-copulas are small in the set of n-quasi-copulas.

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Austria, Spain, Italy

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Keywords

Dedekind–MacNeille completion, supermodularity, quasi-copula, QA1-939, copula, copula; Dedekind-MacNeille completion; quasi-copula; supermodularity, Mathematics

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