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For multiple attributes two-sided decision making problems with different evaluation attributes of both matching objects, this paper takes into account different formats of evaluation information of the matching objects and proposes a method for dealing with such two-sided matching decision making problems with incomplete weight information. Based on the ideal solution principle, the proposed method calculates the weight of attributes by solving quadratic programming models, and gets the best matching for the matching objects by solving a binary integer programming problem. The illustrative examples show the feasibility and effectiveness of the proposed method.