On the Size of Subclasses of Quasi-Copulas and Their Dedekind–MacNeille Completion
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2020-12-18Abstract
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.
Palabra/s clave
copula
Dedekind–MacNeille completion
quasi-copula
supermodularity