A satisfaction degree of D numbers and its application in multi-criteria decision making

The introduction of uncertainty theory into the field of decision making provides a solution for the processing of qualitative information. In the field of uncertain information decision making, there are many widely used theoretical methods, such as D-S evidence theory and D number theory. Recently, Yager proposed a method for evaluating the satisfaction of belief structure based on uncertain target values based on D-S evidence theory. However, there is no related research on satisfaction evaluation in D number theory. In this paper, combined with fuzzy set theory, a calculation method of D numbers satisfaction is proposed. Given the element correlation, the decision information is effectively processed by generating a correlation fuzzy membership function. An application example of a manufacturing company selecting a supplier illustrates the effectiveness of the calculation method in this paper.