In view of hesitant fuzzy linguistic multi-criteria decision making problems in which the criteria weights are partially unknown, a hesitant fuzzy linguistic multi-criteria decision making method is proposed. Firstly, the trapezoidal interval type-2 hesitant fuzzy number is proposed. Then, the weights of the criteria are determined by the model of maximizing on the basis of the difference degree. Moreover, the weighted similarity degree of every alternative with ideal points is displayed to rank all the alternatives. Finally, an example is given to illustrate the effectiveness of the proposed method.