Qualitative Operators for Dealing with Uncertainty
Résumé
In Bayesian networks as well as in knowledge based systems, uncertainty in propositions can be represe nt d by degrees of belief encoded by qualitative values. In this paper, we present an alternative approach to classic probability theory in the particular case where the set of probability degrees [0,1] is replaced by a tot lly ordered set of symbolic values. After having defined the fo ur most expressive symbolic elementary operations ( addition, subtraction, multiplication and division) allowing to manipulate these qualitative degrees of uncertai nty, an axiomatic is proposed.