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On Revision of Partially Specified Convex Probabilistic Belief Bases

2016

  • Authors:
    Gavin Rens , Tommie Meyer , Giovanni Casini

    Publication date:
    2016

    Institution:
    CSIR Meraka Institute, UKZN

    Output type:
    Conference proceedings

    IOS Press

    Abstract:

    We propose a method for an agent to revise its incomplete probabilistic beliefs when a new piece of propositional information is observed. In this work, an agent’s beliefs are represented by a set of probabilistic formulae – a belief base. The method involves determining a representative set of ‘boundary’ probability distributions consistent with the current belief base, revising each of these probability distributions and then translating the revised information into a new belief base. We use a version of Lewis Imaging as the revision operation. The correctness of the approach is proved. An analysis of the approach is done against six rationality postulates. The expressivity of the belief bases under consideration are rather restricted, but has some applications. We also discuss methods of belief base revision employing the notion of optimum entropy, and point out some of the benefits and difficulties in those methods. Both the boundary distribution method and the optimum entropy method are reasonable, yet yield different results.