关键词: 第六类比例冲突分配规则（PCR6）, 单调布尔函数, 焦元解耦, 证据推理

Abstract: Evidence reasoning applies to information fusion with the case without any prior information. In the representation of uncertainty, there are obvious advantages. A evidence reasoning rule based on focal element decoupling and Proportional 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.

Key words: Proportional Conflict Redistribution No.6（PCR6）, monotone boolean function, focal element decoupling, evidence reasoning