Composition Method of Weak Decision-Making Evidence Based on Focal Element Weight

In order to solve the problem of one-vote veto in the combination of conflicting evidence, based on Jousselme distance mode, we apply average evidence instead of conflicting evidence. Then a threshold selection method to determine the existence of weak decision-making evidence is proposed. Because of the inability to distinguish the differences between the focal elements in the weak decision-making evidence, traditional algorithms produce non-ideal fusing results. We propose a new method of determining weights, which describes the relationship between the focus elements in a piece of evidence by means of the deviation from average and standard deviation. This method can effectively expand the difference between the most credible focal element and other focal elements. After modifying evidence body with weights, the Dempster-Shafer combination rule to combine the revised evidence body is applied. Numerical experiments demonstrate that the proposed method has a better measurement of the difference between focal elements of weak decision-making evidence. In the case where both weak decision-making evidence and one-vote veto evidence exist, the proposed method can obtain more reliable fusing results and faster convergence speed, which helps to make decisions.