Abstract: A matching decision method considering colleagues preferences relation is proposed to solve the project-employee matching decision problems with incomplete ordering information. Firstly, the incomplete ordering information given by matching agents is transformed into rank belief degrees. Secondly, two-sided rank belief degrees are taken as pieces of evidence and the fusion degrees of projects-employees and employee-other employees are got by evidence fusion. Furthermore, fusion degrees are transformed into the satisfaction degrees, then an optimization model is constructed and solved considering colleagues preferences relation, where the two objectives are to maximize projects-employees’ satisfaction degrees and maximize the employee-other employees’ satisfaction degrees. Finally, a numerical example illustrates the feasibility and effectiveness of the proposed method.