信息融合中的比例冲突重分配规则
Proportional Conflict Redistribution Rules for Information Fusion
摘要：
在本文中，我们提出了五个版本的比例冲突重新分配规则（PCR）的信息融合连同几个例子。从PCR 1到PCR 2、PCR 3、PCR 4、PCR 5，规则的复杂性和冲突群众重新分配的准确性都有所增加。从超幂集限制到幂集并且没有退化的情况下，PCR 1给出了与Jøsang，Daniel和Vannoorenberghe最近提出的加权平均算子（WAO）相同的结果，但不满足空信念分配的中性性质。这就是本文提出改进的PCR规则的原因。PCR 4是minC和Dempster规则的改进。应用合取规则后，PCR规则根据质量矩阵中分配给相应列的质量，与某些函数成比例地重新分配冲突的质量。根据在特定应用和融合系统中想要处理的复杂性，可以选择这些函数（加权因子）的方式有无限多种。任何融合组合规则在某种程度上都是ad-hoc的。
英文摘要：
In this paper we propose five versions of a Proportional Conflict Redistribution rule (PCR) for information fusion together with several examples. From PCR1 to PCR2, PCR3, PCR4, PCR5 one increases the complexity of the rules and also the exactitude of the redistribution of conflicting masses. PCR1 restricted from the hyper-power set to the power set and without degenerate cases gives the same result as the Weighted Average Operator (WAO) proposed recently by Jøsang, Daniel and Vannoorenberghe but does not satisfy the neutrality property of vacuous belief assignment. That's why improved PCR rules are proposed in this paper. PCR4 is an improvement of minC and Dempster's rules. The PCR rules redistribute the conflicting mass, after the conjunctive rule has been applied, proportionally with some functions depending on the masses assigned to their corresponding columns in the mass matrix. There are infinitely many ways these functions (weighting factors) can be chosen depending on the complexity one wants to deal with in specific applications and fusion systems. Any fusion combination rule is at some degree ad-hoc.
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