Some new characterizations and properties of quasi-copulas

In this paper we characterize the concept of quasi-copula in three different ways: as a special subclass of aggregation operators, in terms of its associated volume and—for the bivariate case—in terms of non-increasing tracks on [ 0 , 1 ] 2 . We also provide sufficient conditions and new properties...

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Bibliographic Details
Published in:Fuzzy sets and systems 2009-03, Vol.160 (6), p.717-725
Main Authors: Rodríguez-Lallena, José Antonio, Úbeda-Flores, Manuel
Format: Article
Language:English
Subjects:
1-Lipschitz aggregation operators
Conjunctive aggregation operators
Copulas
Fuzzy connectives and aggregation operators
Quasi-copulas
Tracks
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Summary:In this paper we characterize the concept of quasi-copula in three different ways: as a special subclass of aggregation operators, in terms of its associated volume and—for the bivariate case—in terms of non-increasing tracks on [ 0 , 1 ] 2 . We also provide sufficient conditions and new properties for quasi-copulas.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2008.02.007