@article { 5291, title = {Coherence in the aggregate: a betting method for belief functions on many-valued events}, journal = {International Journal of Approximate Reasoning}, volume = {58}, year = {2015}, pages = {71-86}, publisher = {Elsevier}, abstract = {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.}, keywords = {Belief functions, Subjective probability, Many-valued events, De Finetti}, URL = {http://www.sciencedirect.com/science/article/pii/S0888613X1500002X}, author = {Tommaso Flaminio and Llu\'{\i}s Godo and Hykel Hosni} }