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To ensure the reliability of the demand information provided by the matching subject of the service supply and demand two-sided matching problem and the diverse needs of different decision-makers for stable matching, this paper considers the service supply and demand two-sided matching problem by combining subjective and objective preference information, and proposes a Consistency-based analysis method. First, the realistic background and application scenarios of the problem are described. Then, according to the additive preference relationship (subjective preference information) and the multi-attribute matching decision matrix (objective preference information) given by the two-sided matching subjects, it is proposed to calculate the weights of the two-sided matching subjects on multiple attributes, and further, the feedback adjustment based on consistency is proposed. The method uses the IR and DR rules to adjust the multi-attribute matching decision matrix of the two-sided matching subject, and then builds a multi-objective satisfaction and stability-oriented matching optimization model, and solves it to obtain the corresponding optimal matching alternative. Finally, an example is given to prove the effectiveness and feasibility of the proposed method.