Learning conditionally lexicographic preference relations

  • Authors:
  • Richard Booth;Yann Chevaleyre;Jérôme Lang;Jérôme Mengin;Chattrakul Sombattheera

  • Affiliations:
  • University of Luxembourg, richard.booth@uni.lu;LAMSADE, Université Paris-Dauphine, France, {yann.chevaleyre,lang}@lamsade.dauphine.fr;LAMSADE, Université Paris-Dauphine, France, {yann.chevaleyre,lang}@lamsade.dauphine.fr;IRIT, Université de Toulouse, France, mengin@irit.fr;Mahasarakham University, Thailand, chattrakul.s@msu.ac.th

  • Venue:
  • Proceedings of the 2010 conference on ECAI 2010: 19th European Conference on Artificial Intelligence
  • Year:
  • 2010

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Abstract

We consider the problem of learning a user's ordinal preferences on a multiattribute domain, assuming that her preferences are lexicographic. We introduce a general graphical representation called LP-trees which captures various natural classes of such preference relations, depending on whether the importance order between attributes and/or the local preferences on the domain of each attribute is conditional on the values of other attributes. For each class we determine the Vapnik-Chernovenkis dimension, the communication complexity of preference elicitation, and the complexity of identifying a model in the class consistent with a set of user-provided examples.