基于向量冲突表示方法的证据组合规则

Evidence Combination Rule Based on Vector Conflict Representation Method

针对Dempster组合规则在高冲突证据融合的情况下常常会得到违背直觉的结果,提出了一种基于向量冲突表示方法的Dempster(VCRD)组合规则。首先,通过实例分析了冲突因子和Jousselme距离存在的不足;然后,利用证据向量的相似性和差异性共同衡量证据之间的冲突程度,通过证据之间的冲突程度确定修正证据的权重因子,对融合证据进行预处理;最后,利用Dempster组合规则进行融合。理论分析和仿真实验结果表明:与Dempster组合规则及其它改进算法相比,VCRD组合规则能够合理地处理高冲突证据情况下的融合问题,降低了决策风险。

In order to solve the counter-intuitive behaviors gotten by Dempster combination rule when combining high conflict evidence ,a new improved Dempster combination rule based on vector conflict representation（VCRD） method was proposed. Firstly, the deficiencies of conflicting belief and Jousselme distance are analyzed by the way of examples. Then,the conflicting degree between the evidence is measured by using similarities and differences of evidence vector, and the evidence can be amended according to the weight computed by utilizing the conflicting degree between them. Finally, the modified functions are combined by Dempster combination rule. The theoretical analysis and experimental results show that compared with Dempster combination rule and other improved methods by the results of numerical examples, VCRD combination rule exhibits the ability in combining highly conflicting evidences rationally and reducing the decision risk.