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Teaching performance evaluation plays an important role in the management of education institutions. In this process, the relevant factors may be complicated and various, it is difficult to dealt with the factors once for all, and a decomposed smaller part sometimes could be easily handled. Based on this consideration, a hierarchical multifactorial evaluation model based on type-2 fuzzy sets is formulated and applied to evaluate teaching performance. In the constructed model, in order to obtain a more rational evaluation result, the factor weights are replaced by triangular fuzzy numbers, and the defuzzification results are represented by the triangular incentre points. To estimate the factor and sub-factor weights in the multifactorial evaluation, a new method of fuzzy analytic hierarchy process (AHP) based on triangular incentre point is developed, and the effectiveness of the hierarchical multifactorial evaluation model is verified with an specific instance.