2005 7 th International Conference on Information Fusion ( FUSION ) Shedding New Light on Zadeh ' s Criticism of Dempster ' s Rule of Combination

2005 7 th International Conference on Information Fusion ( FUSION ) Shedding New Light on Zadeh ' s Criticism of Dempster ' s Rule of Combination
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发表时间:
2006
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通讯作者:
R. Haenni
R. Haenni
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其他
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作者:
R. Haenni

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在提出Dempster的组合规则作为独立来源证据的一般聚合规则后不久,Zadeh制定了一个恼人的例子,Dempster的规则似乎产生了反直觉的结果。从那时起,许多作者使用扎德的例子来批评Demster-Shafer理论作为一个整体,或作为构建替代组合规则的动机。本文指出,扎德例子的反直觉不是Dempster规则的问题,而是扎德模型与实际不符的问题。两种不同的方法来解决这个问题将被讨论,表明Dempster的规则的组合完美的行为,因为人们会期望。1,2
Shortly afterproposing Dempster's rule ofcombination as a general aggregation rule for evidence from independent sources, Zadehformulated an annoying examplefor which Dempster's rule seemed to produce counter-intuitive results. Since then, many authors have used Zadeh's example either to criticize Demster-Shafer theory as a whole, or as a motivation for constructing alternative combination rules. This paper shows that the counter-intuition of Zadeh's example is not a problem of Dempster's rule, but a problem of Zadeh's model that does not correspond to reality. Two different ways to fix the problem will be discussed, showing that Dempster's rule ofcombination perfectly behaves as one would expect. 1,2