With respect to the problem of multiple attribute decision-making, in which the attribute values and weights
are given in terms of intuitionistic fuzzy numbers, an approach to group decision making based on intuitionistic fuzzy sets and evidence theory is proposed. Firstly, attribute values and weights are combined by using the rule of evidence combination, and all of attribute values considering weights are combined for every alternative. Secondly, the relative weights of experts are verified by calculating the similarity of intuitionistic fuzzy sets, the basic probability assignment is adjusted by experts’ weights, and the belief intervals of alternatives are gained by combining all experts’ evidences. Then, the ranking of alternatives is gained by comparing belief intervals. Finally, the numerical case is studied, and the result shows the effectiveness and rationality of the proposed method.