Propositional merging operators based on set-theoretic closeness

  • Authors:
  • Patricia Everaere;Sébastien Konieczny;Pierre Marquis

  • Affiliations:
  • Université Lille-Nord de France, LIFL, CNRS UMR 8022, France, email: patricia.everaere@univ-lille1.fr;CNRS UMR 8188, CRIL, Université Lille-Nord de France, Artois, France, email: konieczny@cril.fr;Université Lille-Nord de France, Artois, CRIL, CNRS UMR 8188, France, email: marquis@cril.fr

  • Venue:
  • Proceedings of the 2008 conference on ECAI 2008: 18th European Conference on Artificial Intelligence
  • Year:
  • 2008

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Abstract

In the propositional setting, a well-studied family of merging operators are distance-based ones: the models of the merged base are the closest interpretations to the given profile. Closeness is, in this context, measured as a number resulting from the aggregation of the distances to each base of the profile. In this work we define a new familly of propositional merging operators, close to such distance-based merging operators, but relying on a set-theoretic definition of closeness, already at work in several revision/update operators from the literature. We study a specific merging operator of this family, obtained by considering set-product as the aggregation function.