  In this paper some initial work towards a new approach to qualitative
reasoning under uncertainty is presented. This method is not only applicable to
qualitative probabilistic reasoning, as is the case with other methods, but
also allows the qualitative propagation within networks of values based upon
possibility theory and Dempster-Shafer evidence theory. The method is applied
to two simple networks from which a large class of directed graphs may be
constructed. The results of this analysis are used to compare the qualitative
behaviour of the three major quantitative uncertainty handling formalisms, and
to demonstrate that the qualitative integration of the formalisms is possible
under certain assumptions.
