The dominance relation in some families of continuous Archimedean t-norms and copulas
Fuzzy Sets and Systems
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
New constructions of diagonal patchwork copulas
Information Sciences: an International Journal
On the α-migrativity of semicopulas, quasi-copulas, and copulas
Information Sciences: an International Journal
Aggregation functions based on penalties
Fuzzy Sets and Systems
Ultramodular aggregation functions
Information Sciences: an International Journal
On the α-migrativity of multivariate semi-copulas
Information Sciences: an International Journal
Characterization of all copulas associated with non-continuous random variables
Fuzzy Sets and Systems
Information Sciences: an International Journal
On a new construction of 1-Lipschitz aggregation functions, quasi-copulas and copulas
Fuzzy Sets and Systems
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We establish a general framework for constructing copulas that can be regarded as a patchwork-like assembly of arbitrary copulas, with nonoverlapping rectangles as patches. We derive a family of construction methods that require the choice of a single background copula. When this background copula is the greatest copula , we retrieve the well-known ordinal sum construction, while in the case of the smallest copula , we obtain a construction method that is dual to the ordinal sum construction. Also nonsingular background copulas lead to suitable construction methods.