Revision of partially ordered information: axiomatization, semantics and iteration

  • Authors:
  • Salem Benferhat;Sylvain Lagrue;Odile Papini

  • Affiliations:
  • CRIL-CNRS, Universit´e d'Artois, Lens Cedex, France;CRIL-CNRS, Universit´e d'Artois, Lens Cedex, France;LSIS, CNRS, Universit´e du Sud Toulon-Var, La Garde Cedex, France

  • Venue:
  • IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
  • Year:
  • 2005

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Abstract

This paper deals with iterated revision of partially ordered information. The first part of this paper concerns the Katsuno-Mendelzon's postulates: we first point out that these postulates are not fully satisfactory since only a class of partially ordered information can be revised. We then propose a suitable definition of faithful assignment, followed by a new set of postulates and a representation theorem. The second part of this paper investigates additional postulates dedicated to iterated revision operators of partially ordered information. Three extensions of well-known iterated belief revision operations for dealing with partially ordered information are briefly presented.