Possibilistic Graphical Models and Compositional Models

Abstract

We overview three kinds of possibilistic graphical models (based on directed acyclic graphs) and present, how they can be expressed by means of non-graphical approach to multidimensional models, so-called compositional models. We show that any of these graphical models can be transformed into a compositional model, but not vice versa. The only exception are directed possibilistic graphs, which are as general as so-called prefect sequences of low-dimensional distributions. © Springer-Verlag Berlin Heidelberg 2010.