Upper Probabilities Attainable by Distributions of Measurable Selections
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Approximations of upper and lower probabilities by measurable selections
Information Sciences: an International Journal
Countably additive Möbius transforms for belief functions on Polish spaces
International Journal of Approximate Reasoning
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Properties of convex and monotone capacities of infinite order in Polish spaces are studied and used to justify the representation of certain situations of imprecise risk (imprecisely known probabilities) by lower probabilities, which are monotone of infinite order. Decision making with imprecise risk is then modeled, and linear utility theory is shown to be generalizable to the case of imprecise risk.