A Symbolic Approach to Reasoning with Linguistic Quantifiers
  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 con-quaint propagation device but better
corresponds to what could be thought of as commonsense probabilistic reasoning.
