A group decision model is builded for multiple attribute group decision making problems with interval two-tuple linguistic information with the shortcomings of traditional binary semantic distance interval calculation formula based on discrete interval parameter tuple linguistic distance formula. The model is designed with the maximum entropy and the positive ideal solution in order to deal with the problem that the attribute weights and expert weights are unknown, and a method is proposed to solve the multiple attribute group decision making with interval two-tuple linguistic information. The example shows that the proposed method can more precisely deal with the interval two-tuple linguistic information and avoid information distortion and loss based on the previous method of traditional binary semantic distance interval calculation formula.