【摘要】 D-S证据理论不能很好地解决证据之间高冲突的情况,得到的结果与事实相悖,并且在实际的应用中无法解决"一票否决"的问题。针对上述不足,提出了一种基于Pignistic概率函数和相关系数的新证据冲突衡量标准(Pcor)和基于该标准的加权证据组合方法。该方法用Pcor来衡量证据间的冲突,通过建立支持矩阵来确定各证据的支持度,用加权平均法修正证据,使用Dempster组合规则,最终得出与事实相符的结果。数值算例表明,所提方法有效地解决了高冲突证据组合问题,与相关算法相比,具有更好的收敛性。更多还原

【Abstract】 The situation of high conflict between evidences and one ballot veto cannot be solved by classical D-S rule,and the results obtained from classical D-S rule are contrary to the facts. To solve this problem, a new standard to measure conflicts between evidences was proposed based on the combination of Pignistic function transformation and correlation coefficient, and also a novel kind of weighted combination method which was applied to measure conflicts between evidences was put forward according to the standard. After that, a support matrix was constructed based from which the credibility of evidence was obtained, and the weighted average method was used to revise the evidence. Finally, the combination was accomplished by using Dempster’s rule. The result of numerical examples shows that it’s effective to solve the combination of conflicting evidence. Compared with other methods, the proposed method has good astringency.更多还原