一种改进的D-S证据合成规则

Dempster合成规则是一种经典D-S理论的合成规则,但在合成高度冲突的证据时出现了有悖常理的现象。为了解决冲突证据的合成问题,提出一种改进的合成规则。首先讨论一个容易被忽略的问题——如何更合理地定义两个证据之间的冲突程度,并试给出一种基于"未兑现的信度"和"决策距离"两个参数共同定义的冲突程度的合理量化指标,在此基础上提出了改进的Dempster合成规则,使其既具有经典Dempster合成规则优越的信息聚焦性能,又避免了在冲突证据合成时出现有悖常理的现象。最后通过仿真实验验证了该规则的优越性能。

Modified combination rule of D-S evidence theory

Dempster combination rule,which is a classical combination rule of D-S theory,involves counter-intuitive behaviors when the evidences highly conflict with each other.A modified combination rule is proposed to solve this problem.An easily ignored problem is discussed first—how to define the degree of conflict between two evidences more reasonably,then a reasonable definition of the degree of conflict between two evidences is given.Based on it,a modified Dempster combination rule is proposed,which has the superiority of information focusing like a classical Dempster rule and avoids the unreasonable combination results when evidences conflict with each other.The advantage of the proposed rule is tested through simulation.