一种基于焦元解耦和PCR6证据推理方法

摘要

Evidence reasoning applies to information fusion with the case without any prior information. In the representa-tion of uncertainty, there are obvious advantages. A evidence reasoning rule based on focal element decoupling and Propor-tional Conflict Redistribution No.6(PCR6)is proposed. The method uses Smarandache coding to get monotonous Boolean function of each focal element in all evidence, allocates the focal element of conflict, uncertainty and mix to the corresponding single atom focal element. Then all sources with the hyper-power set are combined together according to PCR6. Numerical examples show that:the new fusion method fully considers the focal element of conflict, uncertainty and mix impact on fusion results, compared with the direct use of PCR6, reduces conflict, uncertainty focal element’s reliability assignment in the reasoning result. The fusion process is simple, and fusion results are more intuitive, rational, and easy to judge.%证据推理适用于无先验信息情况下的信息融合，在不确定性的表示、融合方面有明显优势。提出一种基于焦元解耦和第六类比例冲突分配规则（PCR6）的证据推理方法，在各证据源中利用Smarandache编码得到各焦元的单调布尔函数，将冲突焦元、不确定焦元及混合焦元分配到相应的单原子焦元上，再利用PCR6进行融合。通过数值算例仿真表明：提出的方法充分考虑冲突焦元、不确定焦元及混合焦元对融合结果影响，与直接利用PCR6融合相比，减少了推理结果中不确定、冲突焦元的融合。融合过程简单，融合结果更直观、合理，便于判决。