TitleCoherence in the aggregate: a betting method for belief functions on many-valued events
Publication TypeJournal Article
Year of Publication2015
AuthorsFlaminio T, Godo L, Hosni H
JournalInternational Journal of Approximate Reasoning
KeywordsBelief 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.