A symbolic approach to reasoning with linguistic quantifiers

  • Authors:
  • Didier Dubois;Henri Prade;Lluis Godo;Ramon López De Màntaras

  • Affiliations:
  • Institut de Recherche en Informatique de Toulouse, C.N.R.S. & Université Paul Sabatier, Toulouse Cedex, France;Institut de Recherche en Informatique de Toulouse, C.N.R.S. & Université Paul Sabatier, Toulouse Cedex, France;Institut d'Investigacio en Intelligencia Artificial, CEAB, CSIC, Blanes, Spain;Institut d'Investigacio en Intelligencia Artificial, CEAB, CSIC, Blanes, Spain

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

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Abstract

This paper investigates the possibility of performing automated reasoning in probabilistic logic when probabilities are expressed by means of linguistic quantifiers. Each linguistic term is expressed as a prescribed interval of proportions. Then instead of propagating numbers, qualitative terms are propagated in accordance with the numerical interpretation of these terms. The quantified syllogism, modelling the chaining of probabilistic rules, is studied in this context. It is shown that a qualitative counterpart of this syllogism makes sense, and is relatively independent of the threshold defining the linguistically meaningful intervals, provided that these threshold values remain in accordance with the intuition. The inference power is less than that of a full-fledged probabilistic constraint propagation device but better corresponds to what could be thought of as commonsense probabilistic reasoning.