An improved belief structure satisfaction to uncertain target values by considering the overlapping degree between events

In the field of evidence theory, the processing of uncertain information is a very important research orientation, which has been receiving widespread attention in academic community. Recently, Yager and Alajlan proposed a method to evaluate the belief structure satisfaction to uncertain target values. However, this method ignored the effect of the overlapping degree between events. In this paper, a new method used to calculate the belief structure satisfaction is proposed. With different overlapping degrees between events considered, this new method effectively quantifies the evaluation interval of the belief structure satisfaction. The validity of the proposed belief structure satisfaction is verified in an illustrative application for multi-criteria decision-making through a combination of evidential axiomatic design process.