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arXiv 1107.0082math.PRcs.AI
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Dempster-Shafer理论中证据组合与概率估计不一致的一个例子

A case of combination of evidence in the Dempster-Shafer theory inconsistent with evaluation of probabilities

The MITRE Corporation(MITRE公司)

Andrzej K. Brodzik, Robert H. Enders

摘要:

证据积累的Dempster-Shafer理论是组合从多信源获得的数据的主要工具之一。本文考虑了冲突系数不为零的两个证据体组合的一种特殊情况。它示出,在这种情况下,应用的Dempster-Shafer规则的组合导致的组合体的质量的评价,这是不同的评价的相应的概率通过应用的法律的总概率。这一发现支持了这样的观点,即在一般情况下,对Dempster-Shafer分析结果的概率解释是不合适的。

英文摘要:

The Dempster-Shafer theory of evidence accumulation is one of the main tools for combining data obtained from multiple sources. In this paper a special case of combination 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 an evaluation of masses of the combined bodies that is different from the evaluation of the corresponding probabilities obtained by application of the law of total probability. This finding supports the view that probabilistic interpretation of results of the Dempster-Shafer analysis in the general case is not appropriate.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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