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Constructing Imprecise Probabilities Using Arguments as Evidence

This paper addresses the problem of constructing subjective imprecise probabilities using qualitative and conflicting pieces of information (arguments) as evidence. We propose formulae for the calculus of imprecise probabilities and show that the probabilities obtained reflect the indeterminacy of the subject, faithfully quantify the support offered by the arguments and constitute previsions that are mathematically coherent in the sense of [Walley, 1991].