Generalizing naive and stable semantics in argumentation frameworks with necessities and preferences

  • Authors:
  • Farid Nouioua

  • Affiliations:
  • LSIS, Aix-Marseille Univ, Marseille Cedex 20, France

  • Venue:
  • SUM'12 Proceedings of the 6th international conference on Scalable Uncertainty Management
  • Year:
  • 2012

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Abstract

In [4] [5], the classical acceptability semantics are generalized by preferences. The extensions under a given semantics correspond to maximal elements of a relation encoding this semantics and defined on subsets of arguments. Furthermore, a set of postulates is proposed to provide a full characterization of any relation encoding the generalized stable semantics. In this paper, we adapt this approach to preference-based argumentation frameworks with necessities. We propose a full characterization of stable and naive semantics in this new context by new sets of adapted postulates and we present a practical method to compute them by using a classical Dung argumentation framework.