针对证据合成过程中的冲突分配不合理、“一票否决”以及鲁棒性差等问题,提出焦元距离和焦元相似度的概念,并给出焦元距离矩阵和焦元相似度矩阵的定义.在此基础上,将证据合成分解为相关性证据合成与冲突性证据合成两个部分,建立一种基于焦元相似度的证据理论合成规则,并进行理论证明.对比实验表明,该规则可以合理地对冲突证据进行分配,有效避免“一票否决”现象,同时具有较好的鲁棒性.
Aiming at the problems of irrational assignment of conflict evidence, one-vote negation and poor robustness in evidence combination, a combination rule is proposed based on the notion of the similarity of focal elements and the distances between focal elements. The process of combination is divided into two parts, combination with and without conflicted mass. The mathematical proof of the proposed combination rule is presented, and the comparative experiments are conducted. The results show that the proposed rule can assign the conflicted mass rationally and avoid one-vote negation with good robustness.