In many real-life situations, we only have partial information about the actual probability distribution. For example, under Dempster-Shafer uncertainty, we only know the masses m1, . . . , mn assigned to different sets S1, . . . , Sn, but we do not know the distribution within each set Si. Because of this uncertainty, there are many possible probability distributions consistent with our knowle...

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Several mathematical models have been proposed for the modelling of someone's degrees of belief. The oldest is the Bayesian model that uses probability functions. The upper and lower probabilities (ULP) model, Dempster's model, the evidentiary value model (EVM) and the probability of modal propositions somehow generalize the Bayesian approach. The transferable belief model (TBM) is based on oth...

The combination of evidence in Dempster-Shafer theory is compared with the combination of evidence in probabilistic logic. Sufficient conditions are stated for these two methods to agree. It is then shown that these conditions are minimal in the sense that disagreement can occur when any one of them is removed. An example is given in which the traditional assumption of conditional independence ...

The method of reasoning with uncertain information known as Dempster-Shafer theory arose from the reinterpretation and development of work of Arthur Dempster [Dempster, 67; 68] by Glenn Shafer in his book a mathematical theory of evidence [Shafer, 76], and further publications e.g., [Shafer, 81; 90]. More recent variants of Dempster-Shafer theory include the Transferable Belief Model see e.g., ...