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Inclusion-exclusion principle for belief functions

Aguirre, Felipe and Destercke, Sébastien and Dubois, Didier and Sallak, Mohamed and Jacob, Christelle Inclusion-exclusion principle for belief functions. (2014) International Journal of Approximate Reasoning, 55 (8). 1708-1727. ISSN 0888-613X

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Official URL: http://dx.doi.org/10.1016/j.ijar.2014.04.018

Abstract

The inclusion-exclusion principle is a well-known property in probability theory, and is instrumental in some computational problems such as the evaluation of system reliability or the calculation of the probability of a Boolean formula in diagnosis. However, in the setting of uncertainty theories more general than probability theory, this principle no longer holds in general. It is therefore useful to know for which families of events it continues to hold. This paper investigates this question in the setting of belief functions. After exhibiting original sufficient and necessary conditions for the principle to hold, we illustrate its use on the uncertainty analysis of Boolean and non-Boolean systems in reliability.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com The original PDF of the article can be found at International Journal of Approximate Reasoning website : http://www.sciencedirect.com/science/article/pii/S0888613X14000796
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Université de Technologie de Compiègne – UTC (FRANCE)
Other partners > Phimeca (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:16 Feb 2015 15:21

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