A flexible rule for evidential combination in Dempster-Shafer theory of evidence
A flexible rule for evidential combination in Dempster-Shafer theory of evidence
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登普斯特证据组合的灵活规则--谢弗证据理论
DOI：
10.1016/j.asoc.2019.105512
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发表时间：
2019-12-01
影响因子：
8.7
通讯作者：
Luo, Xudong
中科院分区：
文献类型：
--
作者：
Ma, Wenjun;Jiang, Yuncheng;Luo, Xudong
Dempster-Shafer证据理论中的Dempster组合规则被广泛用于组合多件证据。然而，当证据严重冲突时，结果可能与直觉相反。因此，已经提出了许多替代组合规则来解决这一问题。然而，现有的那些有时表现得并不是很好。这可能是因为它们不具备一些基本属性。为此，本文首先确定了一些重要的性质。然后，根据这些性质，我们提出了一种新的证据组合规则，作为对Dempster-Shafer理论中的Dempster组合规则的修正。我们的新规则是基于完全冲突的概念(本文介绍)、Dempster的组合规则和证据权重的概念。此外，我们还用新规则成功地解决了著名的Zadeh反例，证明了新规则的有效性。最后，通过实例验证了该方法相对于已有方法的优越性。(C)《2019年》，爱思唯尔出版。
Dempster's combination rule in Dempster-Shafer theory of evidence is widely used to combine multiple pieces of evidence. However, when the evidence is severely conflicting, the result could be counter-intuitive. Thus, many alternative combination rules have been proposed to address this issue. Nevertheless, the existing ones sometimes behave not very well. This may be because they do not hold some essential properties. To this end, this paper firstly identifies some of the important properties. Then, following the cues from these properties, we propose a novel evidential combination rule as a remediation of Dempster's combination rule in Dempster-Shafer theory. Our new rule is based on the concept of complete conflict (we introduced in this paper), Dempster's combination rule, and the concept of evidence weight. Moreover, we illustrate the effectiveness of our new rule by using it to successfully resolve well-known Zadeh's counter-example, which is against Dempster's combination rule. Finally, we confirm the advantages of our method over the existing methods through some examples. (C) 2019 Published by Elsevier B.V.