Coherence in the aggregate: A betting method for belief functions on many-valued events. Flaminio, T., Godo, L., & Hosni, H. International Journal of Approximate Reasoning, 58:71--86, Elsevier Inc., 2015.
Coherence in the aggregate: A betting method for belief functions on many-valued events [pdf]Paper  doi  abstract   bibtex   
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.

Downloads: 0