Moderated Revision

Abstract

In this article, we provide a new kind of belief revision operator that we call Moderated Revision. At first glance, it is a nonprioritized operator that combines a basic classical AGM operator with a credibility-limited one. The underlying idea is this: when new observation μ is received, it is accepted but with doubts, i.e., uncertainty.
We use a revision operator to model the accepted part and a credibility limited one to represent uncertainty, whenever necessary. In the presence of uncertainty, a selection of the old knowledge balances the result of the revision through a disjunction, allowing the agent to accept part of the new observation and remain unsettled about the rest.