You are here: MIMS > EPrints
MIMS EPrints

2010.101: A logical characterization of coherence for imprecise probabilities

2010.101: Martina Fedel, Hykel Hosni and Franco Montagna (2010) A logical characterization of coherence for imprecise probabilities.

This is the latest version of this eprint.

Full text available as:

PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
447 Kb

Abstract

Whilst supported by compelling arguments, the consensus on representing uncertainty by means of (subjective) probability is not unanimous. A substantial part of the relevant criticisms point to its alleged inadequacy for representing ignorance as opposed to uncertainty. The purpose of this paper is to show how a strong justification for taking belief as probability, namely the Dutch Book argument, can be extended naturally so as to provide a logical characterization of coherence for imprecise probability, a framework which is widely believed to accommodate some fundamental features of reasoning under ignorance. The appropriate logic for our purposes is an algebraizable logic whose equivalent algebraic semantics is a variety of MV-algebras with an additional internal unary operation representing upper probability (these algebras will be called UMV-algebras).

Item Type:MIMS Preprint
Uncontrolled Keywords:Subjective probability, probabilistic logic, coherence, betting framework, imprecise probability, many-valued logic, MV-algebras.
Subjects:MSC 2000 > 03 Mathematical logic and foundations
MSC 2000 > 60 Probability theory and stochastic processes
MSC 2000 > 91 Game theory, economics, social and behavioral sciences
MIMS number:2010.101
Deposited By:Dr Hykel Hosni
Deposited On:02 May 2011

Available Versions of this Item

Download Statistics: last 4 weeks
Repository Staff Only: edit this item