The weight-determined method is a good technique to distinguish different experts in intuitionistic fuzzy group decision making, such as the equal-weight method and the subjective weight-determined method. However, there are some puzzles in these two weight-determined methods. Therefore, an accurate weight-determined(AWD) method based on the membership and non-membership is proposed. The main idea of the AWD method is that putting larger weight into the expert with more attribute information. Then the monotonicity and the scale-invariance of the AWD method are investigated. Based on the AWD method, two intuitionistic fuzzy ordered accurate weighted aggregation operators are developed, and their properties are investigated in detail. Finally, a practical example is provided to illustrate the feasibility and effectiveness of the proposed method.