Infinite classes of counter-examples to the Dempster's rule of combination

Details Infinite classes of counter-examples to the Dempster's rule of combination Infinite classes of counter-examples to the Dempster's rule of combination

2004-04-20

arxiv.org/abs/math/0404371v1

Mathematics

General Mathematics

13 pages, 8 tables

Scientific paper

This paper presents several classes of fusion problems which cannot be directly attacked by the classical mathematical theory of evidence, also known as the Dempster-Shafer Theory (DST) either because the Shafer's model for the frame of discernment is impossible to obtain or just because the Dempster's rule of combination fails to provide coherent results (or no result at all). We present and discuss the potentiality of the DSmT combined with its classical (or hybrid) rule of combination to attack these infinite classes of fusion problems.

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