Abstract: This paper proposes a multi-index evaluation modeling method, and evaluation of the core competences of academic journals is used to verify the feasibility of this method. According to the characteristics of the underlying and upper indices, this modeling method is used to determine the weights of the underlying index by combining principal component analysis (PCA) and Softmax regression, and by using an analytic hierarchy process (AHP) to determine the weights of the upper index. In the application and validation of the method, which is based on analysis of the connotation, characteristics, and manifestations of the core competences of academic journals, this paper constructs an evaluation index system for such core competences. Through validation analysis, it is shown that the proposed evaluation modeling method provides the advantage of obtaining simple and highly accurate solutions in multi-index evaluation cases.