Betting 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.
CITATION STYLE
Flaminio, T., Godo, L., & Hosni, H. (2015). Coherence in the aggregate: A betting method for belief functions on many-valued events. International Journal of Approximate Reasoning, 58, 71–86. https://doi.org/10.1016/j.ijar.2015.01.001
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