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Communication Dans Un Congrès Année : 2019

An Axiomatic Utility Theory for Dempster-Shafer Belief Functions

Résumé

The main goal of this paper is to describe an axiomatic utility theory for Dempster-Shafer belief function lotteries. The axiomatic framework used is analogous to von Neumann-Morgenstern's utility theory for proba-bilistic lotteries as described by Luce and Raiffa. Unlike the probabilistic case, our axiomatic framework leads to interval-valued utilities, and therefore, to a partial (incomplete) preference order on the set of all belief function lotteries. If the belief function reference lotteries we use are Bayesian belief functions, then our representation theorem coincides with Jaffray's representation theorem for his linear utility theory for belief functions. We illustrate our framework using some examples discussed in the literature. Finally, we compare our decision theory with those proposed by Jaffray and Smets.
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Dates et versions

hal-02471580 , version 1 (08-02-2020)

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  • HAL Id : hal-02471580 , version 1

Citer

Thierry Denoeux, Prakash P Shenoy. An Axiomatic Utility Theory for Dempster-Shafer Belief Functions. 11th International Symposium on Imprecise Probabilities: Theories and Applications (ISIPTA 2019), Jun 2019, Gand, Belgium. pp.145-155. ⟨hal-02471580⟩
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