A matching decision-making method is proposed to solve the two-sided matching problem considering the matching body’s psychological expectation and perception. Firstly, the aspiration given by one side matching body to the other is considered. The multiple attributes for evaluating matching body’s satisfaction degree are considered. Then, the aspiration of the matching body with respect to each attribute is chosen as the reference point. The decision matrix with different forms is transformed into the matrix of gains or losses relative to the reference point. The comprehensive prospect value of the satisfaction degree for the matching body is calculated based on the prospect theory. Furthermore, a two-objective optimization model is constructed. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed approach.