Search results for "imprecise probabilities"

showing 2 items of 2 documents

Some results on generalized coherence of conditional probability bounds

2003

Based on the coherence principle of de Finetti and a related notion of generalized coherence (g-coherence), we adopt a probabilistic approach to uncertainty based on conditional probability bounds. Our notion of g-coherence is equivalent to the 'avoiding uniform loss' property for lower and upper probabilities (a la Walley). Moreover, given a g-coherent imprecise assessment by our algorithms we can correct it obtaining the associated coherent assessment (in the sense of Walley and Williams). As is well known, the problems of checking g-coherence and propagating tight g-coherent intervals are NP and FP^NP complete, respectively, and thus NP-hard. Two notions which may be helpful to reduce co…

g-coherenceUncertain knowledge; coherence; g-coherence; imprecise probabilities; conditional probability bounds; lower and upper probabilities; non relevant gains; basic sets.Settore MAT/06 - Probabilita' E Statistica Matematicanon relevant gainsUncertain knowledgeconditional probability boundslower and upper probabilitiesbasic setsimprecise probabilitiesUncertain knowledge coherence g-coherence imprecise probabilities conditional probability bounds lower and upper probabilities non relevant gains basic setscoherence
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Logical Conditions for Coherent Qualitative and Numerical Probability Assessments

2003

Settore MAT/06 - Probabilita' E Statistica Matematicalower and upper probability boundsUncertain knowledge coherence g-coherence imprecise probabilities conditional probability bounds lower and upper probabilities coherent qualitative probability assessmentsqualitative probabilitieslogical conditionsGeneralized coherenceGeneralized coherence; lower and upper probability bounds; logical conditions; qualitative probabilities.
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