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Intuitionistic fuzzy complementary judgment matrix (IFCJM) and multiplicative consistent intuitionistic fuzzy complementary judgement matrix (MCIFCJM) were introduced in . Based on the properties of MCIFCJM, a priority method for IFCJM is proposed in this paper. Then IFCJM is applied to analytic hierarchy process (AHP). Finally, this method is applied to classroom teaching quality evaluation example to verify the effectiveness and practicality of the method.