Abstract: With regard to the group decision-making based on linguistic judgment matrices with different granularities, a new method of analysis is proposed. The linguistic terms in ordered linguistic terms sets are 'quantized' to transform the original linguistic judgment matrices into complementary ones through variables' conversion, with a consistency analysis done for the transformation of judgement matrices. Then, the complementary judgment matrices are aggregated into a group preference matrix by the OWA operator and the best alternative is determined by computing the dominance of every alternative. A numerical example is given to illustrate the practicability and usefullness of the method proposed.