Propagating uncertain information forward

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Abstract
In order to propagate uncertain information through a belief network, we need tools for both forward and backward propagation. In this article we propose a mechanism to propagate uncertain information represented by a very general class of fuzzy measures (namely, lower and upper probabilities) forward. Once the general solution to this problem is established, we study several interesting particular cases by considering classes of fuzzy measures more restrictive than lower and upper probabilities. Finally, in order to handle only possibility measures, some approximation techniques of the resultant measures are considered.

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