With the application of biding and tendering bid in construction project abroad in china,the means of appraisal bid are prone to be perfect.However,the ambiguous weight of appraisal bid's index is still a crucial factor to limit the justice and rationalization in process of appraisal bid.This paper presents a multi-objective decision-making method for appraisal bid with the ambiguous weight of appraisal bid's index.The method first optimizes each alternative and gives a complex weight vector,and then ranks all alternatives.This method obviates obtaining partial information and is beneficial for a scientific and just appraisal bid,which is easy to realize on computer.