The complexity of learning separable ceteris paribus preferences

  • Authors:
  • Jérôme Lang;Jérôme Mengin

  • Affiliations:
  • LAMSADE, Université Paris-Dauphine, Paris Cedex 16, France;IRIT, Université de Toulouse, Toulouse Cedex, France

  • Venue:
  • IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
  • Year:
  • 2009

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Abstract

We address the problem of learning preference relations on multi-attribute (or combinatorial) domains. We do so by making a very simple hypothesis about the dependence structure between attributes that the preference relation enjoys, namely separability (no preferential dependencies between attributes). Given a set of examples consisting of comparisons between alternatives, we want to output a separable CP-net, consisting of local preferences on each of the attributes, that fits the examples. We consider three forms of compatibility between a CP-net and a set of examples, and for each of them we give useful characterizations as well as complexity results.