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Coherence in the aggregate: A betting method for belief functions on many-valued events

AuthorsFlaminio, Tommaso ; Godo, Lluis ; Hosni, Hykel
KeywordsMany-valued events
Subjective probability
Belief functions
Necessity measures
Betting methods
De Finetti
Issue Date2015
CitationInternational Journal of Approximate Reasoning 58: 71- 86 (2015)
AbstractBetting methods, of which de Finetti's Dutch Book is by far the most well-known, are uncertainty modelling devices which accomplish a twofold aim. Whilst providing an (operational) interpretation of the relevant measure of uncertainty, they also provide a formal definition of coherence. The main purpose of this paper is to put forward a betting method for belief functions on MV-algebras of many-valued events which allows us to isolate the corresponding coherence criterion, which we term coherence in the aggregate. Our framework generalises the classical Dutch Book method. © 2015 Elsevier Inc.
Identifiersdoi: 10.1016/j.ijar.2015.01.001
issn: 0888-613X
uri: http://www.sciencedirect.com/science/article/pii/S0888613X1500002X
Appears in Collections:(IIIA) Artículos
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