The evidential reasoning approach for multi-attribute decision making problem with incomplete decision matrix

In this paper, a new evidential reasoning approach is developed for a MADM problem with incomplete decision matrix that includes qualitative, quantitative and missing values. The approach first converts quantitative values into qualitative values and determines all possible focal elements based on the decision matrix, and then it calculates the basic utility assignment of each focal element and the utility interval of each decision alternative. Ranking of decision alternative is at last obtained by comparing their utility intervals. A numerical example is presented to demonstrate the implementation of this approach.