A Case of Combination of Evidence in the Dempster-Shafer Theory Inconsistent With Evaluation of Probabilities

By Andrzej Brodzik , Robert Enders

A case of two bodies of evidence with non-zero conflict coefficient is considered.

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A case of two bodies of evidence with non-zero conflict coefficient is considered. It is shown that application of the Dempster-Shafer rule of combination in this case leads to evaluation of masses of the combined bodies that is different from evaluation of the corresponding probabilities obtained by application of the law of total probability. The finding casts doubt on legitimacy of probabilistic interpretation of results of application of the Dempster-Shafer rule of combination in the general case.