An Axiomatization of Conditional Possibilistic Preference Functionals

  • Authors:
  • Didier Dubois;Hélène Fargier;Barbara Vantaggi

  • Affiliations:
  • Institut de Recherche en Informatique de Toulouse, France;Institut de Recherche en Informatique de Toulouse, France;Dip. Me.Mo.Mat. Università "La Sapienza" di Roma, Italy

  • Venue:
  • ECSQARU '07 Proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
  • Year:
  • 2007

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Abstract

The aim of the paper is to extend the Savage like axiomatization of possibilistic preference functionals in qualitative decision theory to conditional acts, so as to make a step towards the dynamic decision setting. To this end, the de Finetti style approach to conditional possibility recently advocated by Coletti and Vantaggi is exploited, extending to conditional acts the basic axioms pertaining to conditional events.