一个简单的比例冲突再分配规则
A Simple Proportional Conflict Redistribution Rule
摘要：
一个提出了第一个替代规则的组合WAO（加权平均算子）最近提出的Josang，丹尼尔和Vannoorenberghe，所谓的比例冲突重新分配规则（表示为PCR 1）。PCR 1和WAO是WO（加权算子）的特殊情况，因为冲突的质量相对于一些加权因子重新分配。在第一个PCR规则中，每个非空集的比例化是相对于其相应质量矩阵的非零和进行的，而不是WAO中的质量列平均值，但结果与Ph. Smets指出的相同。此外，我们还扩展了WAO（这里没有给出解）的退化情况下，当所有非空集合的所有列和为零，然后冲突的质量转移到非空析取形式的所有非空集合在一起;但如果这个选言形式恰好是空的，然后考虑一个开放的世界（即识别框架可能包含新的假设），因此所有冲突的质量都转移到空集。除了WAO，我们提出了一个一般公式PCR 1（WAO非退化的情况下）。
英文摘要：
One proposes a first alternative rule of combination to WAO (Weighted Average Operator) proposed recently by Josang, Daniel and Vannoorenberghe, called Proportional Conflict Redistribution rule (denoted PCR1). PCR1 and WAO are particular cases of WO (the Weighted Operator) because the conflicting mass is redistributed with respect to some weighting factors. In this first PCR rule, the proportionalization is done for each non-empty set with respect to the non-zero sum of its corresponding mass matrix - instead of its mass column average as in WAO, but the results are the same as Ph. Smets has pointed out. Also, we extend WAO (which herein gives no solution) for the degenerate case when all column sums of all non-empty sets are zero, and then the conflicting mass is transferred to the non-empty disjunctive form of all non-empty sets together; but if this disjunctive form happens to be empty, then one considers an open world (i.e. the frame of discernment might contain new hypotheses) and thus all conflicting mass is transferred to the empty set. In addition to WAO, we propose a general formula for PCR1 (WAO for non-degenerate cases).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
