Abstract: The multiple attribute decision-making problem is investigated，in which the information about alternative weights are uncertain and the decision maker has preference information on alternatives.At first the Vague sets are transformed into fuzzy sets.The preference information is transformed into complementary judgement matrix.Then the optimization model for Vague sets is established.By solving the model，the attribute weights are obtained.By calculating the synthesize value of every alternative，the most desirable alternative is selected.At last，an example is used to illustrate the feasibility and effectiveness of the presented method.