Abstract
The representation of uncertainty situations - specifically of imprecise risk situations - by belief functions is discussed. It is shown that in such situations decisions themselves are associated with belief functions on the outcome space. The application of von Neumann-Morgenstern linear utility theory to belief functions (which leads to a generalized expected utility criterion) can be justified, owing to a property of the mixture of belief functions.
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© 1991 Springer Science+Business Media Dordrecht
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Jaffray, JY. (1991). Linear Utility Theory And Belief Functions: A Discussion. In: Chikán, A. (eds) Progress in Decision, Utility and Risk Theory. Theory and Decision Library, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3146-9_19
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DOI: https://doi.org/10.1007/978-94-011-3146-9_19
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5387-7
Online ISBN: 978-94-011-3146-9
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