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Evaluating the Uncertainty of a Boolean Formula with Belief Functions

Jacob, Christelle and Dubois, Didier and Cardoso, Janette Evaluating the Uncertainty of a Boolean Formula with Belief Functions. (2012) In: 14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, 9 July 2012 - 13 July 2012 (Catania, Italy).

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Official URL: http://dx.doi.org/10.1007/978-3-642-31718-7_54

Abstract

In fault-tree analysis, probabilities of failure of components are often assumed to be precise and the events are assumed to be inde- pendent, but this is not always verified in practice. By giving up some of these assumptions, results can still be computed, even though it may require more expensive algorithms, or provide more imprecise results. Once compared to those obtained with the simplified model, the impact of these assumptions can be evaluated. This paper investigates the case when probability intervals of atomic propositions come from independent sources of information. In this case, the problem is solved by means of belief functions. We provide the general framework, discuss computation methods, and compare this setting with other approaches to evaluating the uncertainty of formulas.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. The definitive version is available at http://www.springerlink.com The original PDF of the article can be found at Advances in Computational Intelligence website: http://link.springer.com/book/10.1007/978-3-642-31718-7/page/3 Published in : Advances in Computational Intelligence, Part II - Proceedings of 14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9 - 13, 2012. Series: Communications in Computer and Information Science, Vol. 299 Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (Eds.). Editor: Springer Verlag, ISBN : 978-3-642-31717-0
Audience (conference):International conference proceedings
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)
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Deposited By: janette cardoso
Deposited On:17 Apr 2014 14:07

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