Probabilistic reasoning as a general unifying tool. (English) Zbl 1005.68549

Benferhat, Salem (ed.) et al., Symbolic and quantitative approaches to reasoning with uncertainty. 6th European conference, ECSQARU 2001, Toulouse, France, September 19-21, 2001. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2143, 120-131 (2001).
Summary: Our starting point is the approach to probabilistic logic through coherence, but we give up de Finetti’s idea of a conditional event \(E|H\) being a 3-valued entity, with the third value being just an undetermined common value for all ordered pairs \((E,H)\). We let instead the “third” value of \(E|H\) suitably depend on the given pair. In this way we get, through a direct assignment of conditional probability, a general theory of probabilistic reasoning able to encompass other approaches to uncertain reasoning, such as fuzziness and default reasoning. We are also able to put forward a meaningful concept of conditional independence, which avoids many of the usual inconsistencies related to logical dependence. We give an example in which we put together different kinds of information and show how coherent conditional probability can act as a unifying tool.
For the entire collection see [Zbl 0971.00035].


68T37 Reasoning under uncertainty in the context of artificial intelligence
03B48 Probability and inductive logic