Belief revision with uncertain inputs in the possibilistic setting

Authors:
Didier Dubois;Henri Prade
Affiliations:
Institut de Recherche en Informatique de Toulouse, CNRS, Université Paul Sabatier, Toulouse Cedex, France;Institut de Recherche en Informatique de Toulouse, CNRS, Université Paul Sabatier, Toulouse Cedex, France
Venue:
UAI'96 Proceedings of the Twelfth international conference on Uncertainty in artificial intelligence
Year:
1996

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Abstract

This paper discusses belief revision under uncertain inputs in the framework of possibility theory. Revision can be based on two possible definitions of the conditioning operation, one based on min operator which requires a purely ordinal scale only, and another based on product, for which a richer structure is needed, and which is a particular case of Dempster's rule of conditioning. Besides, revision under uncertain inputs can be understood in two different ways depending on whether the input is viewed, or not, as a constraint to enforce. Moreover, it is shown that M.A. Williams' transmutations, originally defined in the setting of Spohn's functions, can be captured in this framework, as well as Boutilier's natural revision.