多源不确定信息融合中的冲突证据快速合成方法

D-S证据组合规则在处理高冲突信息时，会得出与直觉相反的结论以及证据组合时计算量呈指数增长等问题。针对组合规则的不足，许多改进方法已提出，但各个方法都仍存在其局限性，如Murphy方法在很大程度上解决了冲突证据问题，并未解决计算量指数爆炸问题。基于对Murphy方法深入研究，归纳出相同证据的组合规律，给出了Murphy方法快速表达式，从而提出了一种快速的Murphy组合规则(fast Murphy combination rule, FMCR)。实验表明，新的组合规则在处理高冲突和多源不确定信息融合问题方面都是有效的，在保持Murphy组合规则计算正确性同时，显著地提高了计算速度。

Fast combination method of conflict evidences in multi-source uncertain information fusion

The combination rule of conflict evidences and the required heavy computational load have been the important issues in Dempster-Shafer (D-S) theory. Many improved methods have been proposed, but each of them has their limitations. For example, the Murphy method,though efficient for solving the conflict evidence to a great extent, still leaves the heavy computational load open. On the basis of the research to the Murphy method, the combination law of identical evidences is discovered, and then a fast Murphy combination rule (FMCR) and the related expression are proposed. Experiments show that the new rule can effectively deal with high conflicting evidence and multi-source uncertain information fusion problems with an improvement in speed and accuracy.