Independence and 2-Monotonicity: Nice to Have, Hard to Keep
نویسنده
چکیده
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. keywords: factorisation properties, credal sets, propagation, lower previsions.
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