Geodesic
On the dominance relation between ordinal sums of conjunctors
Kybernetika, Tome 42 (2006) no. 3, pp. 337-350 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 26B99, 39B62, 60E05
Keywords: conjunctor; copula; dominance; ordinal sum; quasi-copula; t-norm 
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Saminger, Susanne; De Baets, Bernard; De Meyer, Hans. On the dominance relation between ordinal sums of conjunctors. Kybernetika, Tome 42 (2006) no. 3, pp. 337-350. http://geodesic.mathdoc.fr/item/KYB_2006_42_3_a6/

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