Composition operator for Credal sets reconsidered

Abstract

This paper is the second attempt to introduce the composition operator, already known from probability, possibility, evidence and valuation-based systems theories, also for credal sets. We try to avoid the discontinuity which was present in the original definition, but simultaneously to keep all the properties enabling us to design compositional models in a way analogous to those in the above-mentioned theories. These compositional models are aimed to be an alternative to Graphical Markov Models. Theoretical results achieved in this paper are illustrated by an example.