A new interval-valued intuitionistic fuzzy sets decision-making model based on the evidence theory is proposed. The attribute values of corresponding alternatives in this model are in the form of interval-valued intuitionistic fuzzy numbers(IVIFN). Firstly, IVIFN is converted into interval basic probability assignment(BPA). Then, the combination rule based on interval BPA is utilized to fuse different attributes. Finally, in order to make the final decision, the fused interval BPAs are transformed into clas...