Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
397885 | International Journal of Approximate Reasoning | 2015 | 16 Pages |
•We investigate a generalised betting method and isolate its general form of coherence.•We provide an operational semantics for belief and plausibility functions.•We investigate generalised uncertainty measures on MV-algebras.
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.