基于信任度和虚假度的证据组合方法

Evidence combination based on the degree of credibility and falsity

D-S证据理论在信息融合领域有着广泛的应用,但使用Dempster组合规则对高冲突证据进行合成时可能会得到反直观的结果,在应用中也存在"一票否决"的问题,为解决这些问题,提出一种改进的基于证据信任度和虚假度的证据加权组合方法。首先在证据相关系数的基础上定义了证据信任度,再结合证据虚假度的概念来确定各原始证据的权重,依此权重系数对各证据进行加权平均后利用Dempster组合规则对加权平均证据进行组合。数值算例表明,该组合方法可实现冲突证据的有效融合,与其他方法相比该方法具有更好的收敛性。

D-S evidence theory has been widely used in various fields of information fusion due to its efficiency in deal- ing with uncertain information. Unfortunately, combination of conflicting evidences by classical Dempster＇s rule may produce counter-intuitive results. To alleviate this problem, a new weighted average combination rule is proposed. Defi- nitions of correlation coefficient was first presented, followed by the introduction of falsity. Then the credibility of evi- dence is proposed. A new weighted coefficient is determined by credibility and falsity. To achieve convergence, the nor- malized weighted coefficient was suggested into the Dempster＇s combination rule to average the basic probability as- signment. Comparable numerical examples demonstrate that the proposed approach can combine conflicting evidences more effectively. Moreover, the proposed methodology can provide a faster identification of the observed object.