|Título||Coherence in the aggregate: a betting method for belief functions on many-valued events|
|Publication Type||Journal Article|
|Year of Publication||2015|
|Authors||Flaminio T, Godo L, Hosni H|
|Journal||International Journal of Approximate Reasoning|
|Palabras clave||Belief functions, De Finetti, Many-valued events, Subjective probability|
Betting methods, of which de Finetti's Dutch Book is by far the most well-known, are uncertainty modelling devices which accomplish a two-fold 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.
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