Abstract:For the problem of hybrid multi-attribute decision-making(HMADM) with input and output index, a method based on the Dempster-Shafer theory(DST) and the cross efficiency of data envelopment analysis(DEA) is proposed. Firstly, by using DEA to deal with the input and output index of decision system, the cross efficiency matrix of DEA is obtained, and the cross efficiencies are aggregated by using the DST. Then, taking the efficiency scores as index values of the decision system, which are transformed into fuzzy grades with other indexes in the decision system, and the DST is used to integrate the index values. And then, the expected utility of decision-making units is obtained so as to rank the decision-making units. Finally, the proposed method is compared with others, the result illustrates its feasibility and effectiveness.