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Erschienen in:
2007 | OriginalPaper | Buchkapitel
On the Dynamics of Total Preorders: Revising Abstract Interval Orders
verfasst von : Richard Booth, Thomas Meyer
Erschienen in: Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Verlag: Springer Berlin Heidelberg
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Total preorders (tpos) are often used in belief revision to encode an agent’s strategy for revising its belief set in response to new information. Thus the problem of tpo-revision is of critical importance to the problem of iterated belief revision. Booth et al. [1] provide a useful framework for revising tpos by adding extra structure to guide the revision of the initial tpo, but this results in
single-step
tpo revision only. In this paper we extend that framework to consider
double-step
tpo revision. We provide new ways of representing the structure required to revise a tpo, based on
abstract interval orders
, and look at some desirable properties for revising this structure. We prove the consistency of these properties by giving a concrete operator satisfying all of them.