A Characterization of Probability-based Dichotomous Belief Revision

Abstract This article investigates the properties of multistate top revision , a dichotomous (AGM-style) model belief that is based on an underlying probability revision. A proposition included in set if and only its either 1 or infinitesimally close to 1. Infinitesimal probabilities are used keep track propositions currently considered have negligible probability, so they available future information makes them more plausible. Multistate satisfies slightly modified version basic supplementary AGM postulates, except inclusion success postulates. result shows hyperreal can provide us with efficient tools for overcoming well known difficulties combining probabilistic models change.