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Saminger, Susanne; De Baets, Bernard; De Meyer, Hans

On the dominance relation between ordinal sums of conjunctors. (English) Zbl 1249.26025

Kybernetika 42, No. 3, 337-350 (2006).
Summary: 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 wellknown parametric families of \(t\)-norms and copulas.

Cited in 11 Documents

MSC:

26B99 Functions of several variables
60E05 Probability distributions: general theory
39B62 Functional inequalities, including subadditivity, convexity, etc.

Keywords:

conjunctor; copula; dominance; ordinal sum; quasi-copula; \(t\)-norm
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\textit{S. Saminger} et al., Kybernetika 42, No. 3, 337--350 (2006; Zbl 1249.26025)
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