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Kybernetika 42(3):337-350, 2006.

On the Dominance Relation Between Ordinal Sums of Conjunctors

Susanne Saminger, Bernard de Baets and Hans de Meyer


Abstract:

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.


Keywords: conjunctor; copula; dominance; ordinal sum; quasi-copula; t-norm;


AMS: 26B99; 60E05; 39B62;


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BIB TeX

@article{kyb:2006:3:337-350,

author = {Saminger, Susanne and De Baets, Bernard and De Meyer, Hans},

title = {On the Dominance Relation Between Ordinal Sums of Conjunctors},

journal = {Kybernetika},

volume = {42},

year = {2006},

number = {3},

pages = {337-350}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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