基于新的证据冲突衡量的加权证据融合方法

对冲突证据使用Dempster-Shafer 证据理论进行融合的前提是对冲突证据作出正确衡量, 确定证据之间冲突的程度. 在分析现有的冲突衡量方法基础上, 提出一种基于新的证据冲突衡量的加权证据融合方法. 该方法通过相似性测度来衡量证据间的冲突程度; 然后确定各证据的可信度, 再加权修正证据; 最后用Dempster 组合规则进行融合. 算例表明, 该方法能正确衡量证据冲突程度, 有效地解决冲突证据的融合问题, 提高收敛速度和精度.

Weighted evidence combination method based on new evidence conflict measurement approach

The correct measurement of conflict evidence and the conflict extent among evidences are the premise of using the Dempster-Shafer theory to complete the combination of conflict evidence. Some typical conflict measurement methods are reviewed by analyzing their advantages and disadvantages, and a new weighted evidence combination method is proposed base on the effective conflict measurement. Firstly, the conflict degree between two pieces of evidence is obtained from the similarity measure. Then the evidence credibility is given according to its amount of conflict with others. After that, the evidence is revised and weighted based on this credibility. Finally, the fusion is accomplished by adopting the combination rule of Dempster. Numerical examples illustrate that the proposed method can measure the degree of conflict evidence correctly, solve the problem of conflict evidence fusion effectively and improve the speed and accuracy of convergence.