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Article

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

1
Dipartimento di Scienze dell’Economia, Università del Salento, 73100 Lecce, Italy
2
Research Group of Theory of Copulas and Applications, University of Almería, 04120 Almería, Spain
3
Department for Mathematics, University of Salzburg, A-5020 Salzburg, Austria
4
Department of Mathematics, University of Almería, 04120 Almería, Spain
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(12), 2238; https://doi.org/10.3390/math8122238
Received: 11 November 2020 / Revised: 11 December 2020 / Accepted: 14 December 2020 / Published: 18 December 2020
(This article belongs to the Special Issue Stochastic Models with Applications)
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. View Full-Text
Keywords: copula; Dedekind–MacNeille completion; quasi-copula; supermodularity copula; Dedekind–MacNeille completion; quasi-copula; supermodularity
MDPI and ACS Style

Durante, F.; Fernández-Sánchez, J.; Trutschnig, W.; Úbeda-Flores, M. On the Size of Subclasses of Quasi-Copulas and Their Dedekind–MacNeille Completion. Mathematics 2020, 8, 2238. https://doi.org/10.3390/math8122238

AMA Style

Durante F, Fernández-Sánchez J, Trutschnig W, Úbeda-Flores M. On the Size of Subclasses of Quasi-Copulas and Their Dedekind–MacNeille Completion. Mathematics. 2020; 8(12):2238. https://doi.org/10.3390/math8122238

Chicago/Turabian Style

Durante, Fabrizio, Juan Fernández-Sánchez, Wolfgang Trutschnig, and Manuel Úbeda-Flores. 2020. "On the Size of Subclasses of Quasi-Copulas and Their Dedekind–MacNeille Completion" Mathematics 8, no. 12: 2238. https://doi.org/10.3390/math8122238

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