A diff-Based Merging Operator

Patricia Everaere (), Sébastien Konieczny () and Pierre Marquis ()
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Patricia Everaere: LIFL - Laboratoire d'Informatique Fondamentale de Lille - Université de Lille, Sciences et Technologies - Inria - Institut National de Recherche en Informatique et en Automatique - Université de Lille, Sciences Humaines et Sociales - CNRS - Centre National de la Recherche Scientifique, SMAC - Systèmes Multi-Agents et Comportements - CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 - Centrale Lille - Université de Lille - CNRS - Centre National de la Recherche Scientifique, CRIL - Centre de Recherche en Informatique de Lens - UA - Université d'Artois - CNRS - Centre National de la Recherche Scientifique
Sébastien Konieczny: LIFL - Laboratoire d'Informatique Fondamentale de Lille - Université de Lille, Sciences et Technologies - Inria - Institut National de Recherche en Informatique et en Automatique - Université de Lille, Sciences Humaines et Sociales - CNRS - Centre National de la Recherche Scientifique, CRIL - Centre de Recherche en Informatique de Lens - UA - Université d'Artois - CNRS - Centre National de la Recherche Scientifique, IRIT - Institut de recherche en informatique de Toulouse - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - UT2J - Université Toulouse - Jean Jaurès - UT - Université de Toulouse - UT3 - Université Toulouse III - Paul Sabatier - UT - Université de Toulouse - CNRS - Centre National de la Recherche Scientifique - Toulouse INP - Institut National Polytechnique (Toulouse) - UT - Université de Toulouse - TMBI - Toulouse Mind & Brain Institut - UT2J - Université Toulouse - Jean Jaurès - UT - Université de Toulouse - UT3 - Université Toulouse III - Paul Sabatier - UT - Université de Toulouse
Pierre Marquis: CRIL - Centre de Recherche en Informatique de Lens - UA - Université d'Artois - CNRS - Centre National de la Recherche Scientifique

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Abstract: Merging operators aim at defining the beliefs (resp. the goal) of a group of agents from a profile of bases, gathering the beliefs (resp. the goals) of each member of the group. 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 kind 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.

Date: 2008-09-13
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Published in Proceedings of the 12th International Workshop on Non-Monotonic Reasoning (NMR'08), Sep 2008, Sidney, Australia. pp.19-25

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00732039

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