Coherence in the aggregate: a betting method for belief functions on many-valued events

Flaminio, Tommaso, Godo, Lluis and Hosni, Hykel (2015) Coherence in the aggregate: a betting method for belief functions on many-valued events. International Journal of Approximate Reasoning, 58 . pp. 71-86. ISSN 0888-613X

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Abstract

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.

Item Type:	Article
Official URL:	http://www.journals.elsevier.com/international-jou...
Additional Information:	© 2015 Elsevier Inc.
Library of Congress subject classification:	B Philosophy. Psychology. Religion > BC Logic
Sets:	Research centres and groups > Centre for Philosophy of Natural and Social Science (CPNSS)
Funders:	FIRB 2010, Spanish MINECO project, European Commission under the Marie Curie IEF-GA-2012-327630 project Rethinking Uncertainty: A Choice-based approach.
Projects:	RBFR10DGUA_002, IN2012-39348-C02-01
Date Deposited:	27 Feb 2015 10:46
URL:	http://eprints.lse.ac.uk/61102/

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