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An uncertainty interchange format with imprecise probabilities
Authors:Pietro Baroni  Paolo Vicig  
Institution:

aUniversity of Brescia, Dip. Elettronica per l’Automazione, Via Branze 38, I-25123 Brescia, Italy

bUniversity of Trieste, Dip. Matematica Applicata “B. de Finetti”, Piazzale Europa 1, I-34127 Trieste, Italy

Abstract:This paper addresses the problem of exchanging uncertainty assessments in multi-agent systems. Since it is assumed that each agent might completely ignore the internal representation of its partners, a common interchange format is needed. We analyze the case of an interchange format defined by means of imprecise probabilities, pointing out the reasons of this choice. A core problem with the interchange format concerns transformations from imprecise probabilities into other formalisms (in particular, precise probabilities, possibilities, belief functions). We discuss this so far little investigated question, analyzing how previous proposals, mostly regarding special instances of imprecise probabilities, would fit into this problem. We then propose some general transformation procedures, which take also account of the fact that information can be partial, i.e. may concern an arbitrary (finite) set of events.
Keywords:Uncertainty transformations  Multi-agent systems  Imprecise probability theory  Pignistic probability  Partial possibilities
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