A Dempster-Shafer belief structure provides a mechanism for representing uncertain knowledge about a variable. A compatibility relation provides a structure for obtaining information about one variable based upon our knowledge about a second variable. An inference scheme in the theory of evidence involves the use of a belief structure on one variable, called the antecedent, and a compatibility ...

The compatibility of quantitative and quali­ tative representations of beliefs was studied extensively in probability theory. It is only recently that this important topic is consiJ­ ered in the context of belief functions. In this paper, the compatibility of various quan­ titative belief measures and qualitative belief structures is investigated. Four classes of be­ lief measures considered ar...

As belief networks are used to model in­ creasingly complex situations, the need to automatically construct them from large databases will become paramount. This pa­ per concentrates on solving a part of the belief network induction problem: that of learning the quantitative structure (the con­ ditional probabilities), given the qualitative structure. In particular, a theory is presented that s...

In this paper some ideas for adding structure to belief bases are presented. Structured belief bases can be seen as graphs, where each node is a belief and two nodes are adjacent if and only if they are related. Some notions of relatedness are deened. We then show how this extra structure can be used for implementing local change as deened in HW98].

In this paper some ideas for adding structure to belief bases are presented. Structured belief bases can be seen as graphs, where each node is a belief and two nodes are adjacent if and only if they are related. Some notions of relatedness are deened. We then show how this extra structure can be used for implementing local change as deened in HW98].

One main topic of the epistemic program of game theory deals with the value of information. To study this question in a broad context, one needs to adapt some of the tools used in multiplayer epistemic logic. A hierarchical belief structure is introduced both in a syntactical and a semantical framework. In the same framework, a generalized notion of message is characterized by its content and i...

This paper is devoted to expressiveness of hypergraphs for which uncertainty propagation by local computations via Shenoy/Shafer method applies. It is demonstrated that for this propagation method for a given joint belief distribution no valuation of hyperedges of a hypergraph may provide with simpler hypergraph structure than valuation of hyperedges by conditional distributions. This has vital...

The aim of the article is to show a stochastic approach for both modelling and optimizing the statistical agent belief in a probability model. Two networks are defined: a decision network D of the agent belief state and a utility network U, presenting the utility structure of the agent belief problem. The agent belief is presented via the following three items (B,D,U), where B is a Bayesian net...