Title

Decision making with hybrid influence diagrams using mixtures of truncated exponentials

Document Type

Article

Publication Date

2008

Keywords

decision analysis, influence diagrams, MTE potentials, applied probability

Abstract

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

Recommended Citation

Cobb, Barry R., and Prakash P. Shenoy. "Decision making with hybrid influence diagrams using mixtures of truncated exponentials." European Journal of Operational Research 186, no. 1 (2008): 261-275.

DOI for the article

10.1016/j.ejor.2007.01.036

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