Theory and Decision 71 (1):111-128 (2011)

We study the Full Bayesian Updating rule for convex capacities. Following a route suggested by Jaffray (IEEE Transactions on Systems, Man and Cybernetics 22(5):1144–1152, 1992), we define some properties one may want to impose on the updating process, and identify the classes of (convex and strictly positive) capacities that satisfy these properties for the Full Bayesian Updating rule. This allows us to characterize two parametric families of convex capacities: ${(\varepsilon,\delta)}$ -contaminations (which were introduced, in a slightly different form, by Huber (Robust Statistics, Wiley, New York, 1981)) and ${\varepsilon}$ -contaminations
Keywords Convex capacities   $${\varepsilon}$$ -contamination  Updating  Full Bayesian updating rule  Regular updating
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DOI 10.1007/s11238-010-9203-x
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References found in this work BETA

A Mathematical Theory of Evidence.Glenn Shafer - 1976 - Princeton University Press.
A Rule For Updating Ambiguous Beliefs.Cesaltina Pacheco Pires - 2002 - Theory and Decision 53 (2):137-152.
Bayesian and Non-Bayesian Evidential Updating.Henry E. Kyburg - 1987 - Artificial Intelligence 31 (3):271--294.

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