On the dominance relation between ordinal sums of conjunctors

Susanne Saminger; Bernard De Baets; Hans De Meyer

Kybernetika (2006)

  • Volume: 42, Issue: 3, page 337-350
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Saminger, Susanne, De Baets, Bernard, and De Meyer, Hans. "On the dominance relation between ordinal sums of conjunctors." Kybernetika 42.3 (2006): 337-350. <http://eudml.org/doc/33809>.

@article{Saminger2006,
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.},
author = {Saminger, Susanne, De Baets, Bernard, De Meyer, Hans},
journal = {Kybernetika},
keywords = {conjunctor; copula; dominance; ordinal sum; quasi-copula; t-norm; conjunctor; copula; dominance; ordinal sum; quasi-copula; -norm},
language = {eng},
number = {3},
pages = {337-350},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On the dominance relation between ordinal sums of conjunctors},
url = {http://eudml.org/doc/33809},
volume = {42},
year = {2006},
}

TY - JOUR
AU - Saminger, Susanne
AU - De Baets, Bernard
AU - De Meyer, Hans
TI - On the dominance relation between ordinal sums of conjunctors
JO - Kybernetika
PY - 2006
PB - Institute of Information Theory and Automation AS CR
VL - 42
IS - 3
SP - 337
EP - 350
AB - 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.
LA - eng
KW - conjunctor; copula; dominance; ordinal sum; quasi-copula; t-norm; conjunctor; copula; dominance; ordinal sum; quasi-copula; -norm
UR - http://eudml.org/doc/33809
ER -

References

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