Mediation in the framework of morpho-logic

  • Authors:

  • Isabelle Bloch;Ramón Pino-Pérez;Carlos Uzcátegui

  • Affiliations:

  • GET-Ecole Nationale Supérieure des Télécommunications-CNRS UMR 5141 LTCI46 rue Barrault75013 ParisFrance-Isabelle.Bloch@enst.fr;Departamento de Matemáticas-Facultad de Ciencias-Universidad de Los Andes, Mérida, Venezuela-pino@ula.ve, uzca@ula.ve;Departamento de Matemáticas-Facultad de Ciencias-Universidad de Los Andes, Mérida, Venezuela-pino@ula.ve, uzca@ula.ve

  • Venue:
  • Proceedings of the 2006 conference on ECAI 2006: 17th European Conference on Artificial Intelligence August 29 -- September 1, 2006, Riva del Garda, Italy
  • Year:
  • 2006

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Abstract

In this paper we introduce a median operator between two sets of interpretations (worlds) in a finite propositional language. Our definition is based on morphological operations and Hausdorff distance. It provides a result which lies “halfway” between both sets and accounts for the “extension” or “shape” of the sets. We prove several interesting properties of this operator and compare it with fusion operators. This new operator allows performing mediation between two sets of beliefs, preferences, demands, in an original way, showing an interesting behavior that was not possible to achieve using existing operators.