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Independence and 2-monotonicity: nice to have, hard to keep. (English) Zbl 1341.68248

Liu, Weiru (ed.), Symbolic and quantitative approaches to reasoning with uncertainty. 11th European conference, ECSQARU 2011, Belfast, UK, June 29 – July 1, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-22151-4/pbk). Lecture Notes in Computer Science 6717. Lecture Notes in Artificial Intelligence, 263-274 (2011).
Summary: 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.
For the entire collection see [Zbl 1216.68033].

MSC:

68T37 Reasoning under uncertainty in the context of artificial intelligence
60A86 Fuzzy probability
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References:

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