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Communication Dans Un Congrès Année : 2011

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

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.
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Dates et versions

hal-00655595 , version 1 (31-12-2011)

Identifiants

Citer

Sébastien Destercke. 2-monotonicity and independence: nice to have, hard to keep. 11th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU), Jul 2012, Belfast, Ireland. pp.263-274, ⟨10.1007/978-3-642-22152-1_23⟩. ⟨hal-00655595⟩
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