一种基于证据焦元距离的权重计算方法

针对经典的D-S合成方法常会出现与实际相悖的不足,该文提出了一种考虑焦元交互影响的权重合成方法.该方法结合香农熵的思想定义了新的焦元距离测度,基于新距离定义各证据间的权重,然后根据权重对原始证据函数进行修正,降低异常证据的重要性,再利用D-S规则进行证据合成.数值分析说明:这一方法可排除干扰性信息,降低冲突,合成结果优于其他经典的计算方法,为D-S证据理论提供一种有效的计算方法.

The Weight Calculation Method Based on Focal Distance of Evidence

Because the classical D-S synthesis method often has shortcomings contrary to the reality,a weight synthesis method considering the interaction of focal elements is proposed in this paper.By finding the shortcomings of several classical distances,a new focal distance measure is defined in combination with evidence of entropy and the weight of each evidence is generated based on the new distance.Then,the original evidence function is modified according to the weight,reducing the importance of abnormal evidence,and the D-S rule is used for evidence synthesis.Numerical analysis shows that this method can eliminate the interference information and reduce the conflict,and the synthetic result is better than other classical methods,which provides an effective calculation method for D-S evidence theory.