Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 186, Issue 1, Pages 261-275Publisher
ELSEVIER
DOI: 10.1016/j.ejor.2007.01.036
Keywords
decision analysis; influence diagrams; MTE potentials; applied probability
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Mixtures of truncated exponentials (MTE) potentials are an alternative to discretization for representing continuous chance variables in influence diagrams. Also, MTE potentials can be used to approximate utility functions. This paper introduces MTE influence diagrams, which can represent decision problems without restrictions on the relationships between continuous and discrete chance variables, without limitations on the distributions of continuous chance variables, and without limitations on the nature of the utility functions. In MTE influence diagrams, all probability distributions and the joint utility function (or its multiplicative factors) are represented by MTE potentials and decision nodes are assumed to have discrete state spaces. MTE influence diagrams are solved by variable elimination using a fusion algorithm. (c) 2007 Elsevier B.V. All rights reserved.
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