Kybernetika 42 no. 3, 337-350, 2006

On the dominance relation between ordinal sums of conjunctors

Susanne Saminger, Bernard De Baets and Hans De Meyer


This contribution deals with the dominance relation on the class of conjunctors, containing as particular cases the subclasses of quasi-copulas, copulas and t-norms. The main results pertain to the summand-wise nature of the dominance relation, when applied to ordinal sum conjunctors, and to the relationship between the idempotent elements of two conjunctors involved in a dominance relationship. The results are illustrated on some well-known parametric families of t-norms and copulas.