基于相似系数和Jaccard系数矩阵的证据冲突度量方法

摘要

针对传统的冲突度量和Jousselme距离度量出现冲突误判的问题,提出一种相似系数和Jaccard系数矩阵的证据冲突度量方法.该方法通过计算证据之间的相似系数,利用Jaccard系数矩阵将相似系数转化为证据的冲突程度.理论证明和数值计算表明,该方法可以有效地表示证据间的冲突程度.此外,通过典型的算例将提出的方法与其他方法进行对比,结果表明该方法可以全面准确地度量证据间的冲突程度.%Aiming at the open issue that the classical conflict coefficient and Jousselme distance measure can not correctly judge the conflict evidence,a new measurement of conflict was presented based on the definition of similarity coefficient and Jaccard matrix.By calculating the similarity coefficient between the evidence and the Jaccard coefficient matrix,the similarity coefficient is transformed into the conflict degree of the evidence.Theoretic proof and numreical examples verify the efficiency of the proposed measurement.A typical example is analyzed and compared with other methods.It has been shown by comparison with other methods that the proposed measurement is more accurate to measure evidence conflict.