基于距离测度的证据合成方法

为解决经典证据理论无法处理高度冲突证据的不足，提出了一种基于距离测度的证据合成方法。将证据视为空间向量，定义距离测度空间，计算空间中两两证据之间的距离，并通过距离测度矩阵确立证据之间的一致性测度，在此基础上求得辨识框架对各证据的支持度，通过归一化支持度得到证据一致性因子，以此作为冲突概率的分配权重，最后给出改进的证据合成公式。数值算例证明了改进公式既能处理冲突证据，又能合成非冲突证据，与其他合成方法的比较验证了改进合成公式的有效性。

Approach to Evidence Combination Based on Distance Measurement

To deal with the disadvantage that classical evidence theory cannot combine highly conflicting evidence, a new combination approach is presented based on distance measurement. The evidence is regarded as space vector and distance measurement space is defined, in which the distance between evidence is calculated. Then the consistency measurement is established using distance measurement matrix by which the support degree is gained on the frame of discernment. Finally, the evidence consistency coefficient obtained from normalizing support degree is regarded as the weight to distribute conflicting probability, and improved evidence combination formula is proposed. Numerical examples prove that the improved formula can combine the conflicting evidence and the non-conflicting evidence. The contrast to other methods testifies the validity of improved formula.