Abstract: In selecting one of the project delivery methods (PDMs),the existing models always neglect the uncertainties of the decisionmakers for the problem to be solved,which may result in nonoptimal ranks for the alternatives.According to the uncertain factors of lumpsum contracting PDMs,assumptions are presented for the decision making problem of selecting a lumpsum contracting project delivery method.The problem is solved by using uncertain multiple attribute (UMA) theory.Based on UMA,a decisionmaking support model is proposed.In the model,a sorting vector of possibility degree is obtained by using UEOWA and ULHA operators.In this way,an attribute evaluation system is developed.A case study is used to show the decisionmaking procedure and the effectiveness of the proposed method.