Alexander Karlsson, Joe Steinhauer

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Evaluation of Evidential Combination Operators

Abstract

We present an experiment for evaluating precise and imprecise evidential combination operators. The experiment design is based on the assumption that only limited statistical information is available in the form of multinomial observations. We evaluate three different evidential combination operators; one precise, the Bayesian combination operator, and two imprecise, the credal and Dempster's combination operator, for combining independent pieces of evidence regarding some discrete state space of interest. The evaluation is performed by using a score function that takes imprecision into account. The results show that the precise framework, i.e., the precise Dirichlet model and the Bayesian combination operator, seems to perform equally well as the imprecise frameworks based on the imprecise Dirichlet model and the imprecise operators.

Keywords

Evidential combination, Imprecise probability, Credal sets

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E-mail addresses

Alexander Karlsson		alexander.karlsson@his.se
Joe Steinhauer		joe.steinhauer@his.se