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Dempster Specialization Matrices and the Combination of Belief Functions

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Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2001)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2143))

Abstract

This paper is a self-contained presentation of a method for combining several belief functions on a common frame that is different from a mere application of Dempster’s rule. All the necessary results and their proofs are presented in the paper. It begins with a review and explanation of concepts related to the notion of non-normalized mass-function, or gem-function, introduced by P. Smets under the name basic belief assignment [1,6]. Then the link with Dempster’s rule of combination is established. Several results in relation with the notion of Dempster specialization matrix are proved for the first time [2]. Based on these results, the method is then presented and a small application is considered.

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References

  1. P. Smets. The Nature of the Unnormalized Beliefs Encountered in the Transferable Belief Model. In Dubois D., Wellman M., D’Ambrosio B., and Smets P., editors, Proceedings of the 8th Conference on Uncertainty in Artificial Intelligence, pages 292–297. Morgan Kaufman Publishers, San Francisco, California, 1992.

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© 2001 Springer-Verlag Berlin Heidelberg

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Monney, PA. (2001). Dempster Specialization Matrices and the Combination of Belief Functions. In: Benferhat, S., Besnard, P. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2001. Lecture Notes in Computer Science(), vol 2143. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44652-4_28

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  • DOI: https://doi.org/10.1007/3-540-44652-4_28

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42464-2

  • Online ISBN: 978-3-540-44652-1

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