Independence and 2-monotonicity: nice to have, hard to keep

Destercke Sébastien. 2011. Independence and 2-monotonicity: nice to have, hard to keep. In : Symbolic and quantitative approaches to reasoning with uncertainty : 11th European Conference, ECSQARU 2011, Belfast, UK, June 29-July 1 2011, Proceedings. Liu Weiru (ed.). Heidelberg : Springer [Allemagne], 263-274. (Lecture Notes in Artificial Intelligence, 6717) ISBN 978-3-642-22151-4 European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty. 11, Belfast, Royaume-Uni, 30 Juin 2011/1 Juillet 2011.

Résumé : When using lower probabilities to model uncertainty about the value assumed by a variable, 2-monotonicity is an interesting property to satisfy, as it greatly facilitates further treatments (such as the computation of lower/upper expectation bounds). In this paper, we show that multivariate joint models induced from marginal ones by strong independence, epistemic independence or epistemic irrelevance do not usually preserve such a property, even if it is satisfied by all marginal models. We then propose a joint model outer-approximating those induced by strong and epistemic independence and study some of its properties.

Mots-clés Agrovoc : modèle mathématique

Mots-clés complémentaires : Monotonicité

Classification Agris : U10 - Informatique, mathématiques et statistiques

Auteurs et affiliations

• Destercke Sébastien, CIRAD-PERSYST-UMR IATE (FRA)

Source : Cirad - Agritrop (https://agritrop.cirad.fr/560342/)

Métriques

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