In this paper, firstly, the existing problems of the solution of weight vector of triangular fuzzy number complementary judgment matrix, which are proposed by Xu [3] and Gu [4], are discussed. Secondly, on the basis of the consistency definition for triangular fuzzy number complementary judgment matrix (TFNCJM) proposed by Gu [4], a consistency sufficient condition of TFNCJM is proposed, and a linear goal programming of TFNCJM is established. Then the weight vector of TFNCJM is obtained by solving the model. Thirdly, the paper gives a new priority formula for triangular fuzzy number, and the priority of alternatives are obtained by using the formula. Finally, a numerical example is given to show their feasibility and effectiveness.
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