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

Author

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  • Fabrizio Durante

    (Dipartimento di Scienze dell’Economia, Università del Salento, 73100 Lecce, Italy)

  • Juan Fernández-Sánchez

    (Research Group of Theory of Copulas and Applications, University of Almería, 04120 Almería, Spain)

  • Wolfgang Trutschnig

    (Department for Mathematics, University of Salzburg, A-5020 Salzburg, Austria)

  • Manuel Úbeda-Flores

    (Department of Mathematics, University of Almería, 04120 Almería, Spain)

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.

Suggested Citation

  • Fabrizio Durante & Juan Fernández-Sánchez & Wolfgang Trutschnig & Manuel Úbeda-Flores, 2020. "On the Size of Subclasses of Quasi-Copulas and Their Dedekind–MacNeille Completion," Mathematics, MDPI, vol. 8(12), pages 1-11, December.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2238-:d:464262
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    References listed on IDEAS

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