In view of the decision-making problem of bilateral matching difference in which the subject gives tolerance interval under the language environment, a decision analysis method has thus been proposed. Firstly, the matching degree function is defined for the benefit-based criterion and the cost-based criterion respectively, with the matching degree function adopted to calculate the matching degree corresponding to the evaluation value of both parties under each criterion. Secondly, matching degrees of criteria are aggregated to a comprehensive matching degree by using linear weighted aggregation method. Furthermore, a multi-objective bilateral matching model is established and transformed into a single objective optimization model, thus obtaining the optimal matching scheme. Finally, the feasibility and effectiveness of the proposed bilateral matching decision-making method are verified by a case study of a marriage agency, with a comparative analysis to be carried out.