Abstract
This paper combines belief functions in an interval based framework with the purpose of comparing two manners of transferring the conflict. We made a focus on the classical problem of conflict interpretation in this particular context. In connection with this, the normalization introduced by the Dempster’s rule is compared with an alternative method. Since conflict is often considered as a quantity carrying a signification, it is a relevant reason for analyzing it in a belief interval based framework and explaining why the normalization is always used. Results are provided based on a voluntarily simple example.
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References
Moore, R.E.: Interval Analysis. Prentice-Hall, Englewood Cliffs (1966)
Jaulin, L., et al.: Applied Interval Analysis. Springer, London (2001)
Benhamou, F., et al.: Revising Hull and Box Consistency. In: ICLP 1999 (1999)
Sadiq, R., et al.: Investigating evidential reasoning for the interpretation of microbial water quality in a distribution network. Springer, Heidelberg (2006)
Smets, P.: Belief Functions on Real Numbers. Journal of Approximate Reasoning (2004)
Nassreddine, G., et al.: State estimation using belief function theory. In: LFA 2007, Nîmes, France, pp. 115–124 (2007)
Nassredine, G., et al.: State estimation using interval analysis and belief function theory: Application to dynamic vehicle localization. Man and Cybernetics B (2009)
Shafer, G.: A mathematical theory of evidence. Princeton University Press, Princeton (1976)
Yager, R.: Arithmetic and other operations on Dempster-Shafer structures. International Journal of Man-Machine Studies, 357–366 (1986)
Rocha, L.M.: Interval Based Evidence Sets. In: ISUMA-NAFIPS 1995, pp. 624–629. IEEE Press, Los Alamitos (1995)
Klein, J., et al.: Hierarchical and conditional combination of belief functions induced by visual tracking. International Journal of Approximate Reasoning (2009)
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Solau, C., Jolly, AM., Delahoche, L., Marhic, B., Menga, D. (2010). Conflict Interpretation in a Belief Interval Based Framework. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods. IPMU 2010. Communications in Computer and Information Science, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14055-6_21
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DOI: https://doi.org/10.1007/978-3-642-14055-6_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14054-9
Online ISBN: 978-3-642-14055-6
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