Lattice-based graded logic: a multimodal approach

  • Authors:
  • Philippe Chatalic;Christine Froidevaux

  • Affiliations:
  • Laboratoire de Recherche en Informatique, CNRS, Université Paris-Sud, Orsay Cedex, France;Laboratoire de Recherche en Informatique, CNRS, Université Paris-Sud, Orsay Cedex, France

  • Venue:
  • UAI'92 Proceedings of the Eighth international conference on Uncertainty in artificial intelligence
  • Year:
  • 1992

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Abstract

Experts do not always feel very comfortable when they have to give precise numerical estimations of certainty degrees. In this paper we present a qualitative approach which allows for attaching partially ordered symbolic grades to logical formulas. Uncertain information is expressed by means of parameterized modal operators. We propose a semantics for this multimodal logic and give a sound and complete axiomatization. We study the links with related approaches and suggest how this framework might be used to manage both uncertain and incomplete knowledge.