中文摘要：

研究指标权重信息未知且对方案有偏好的Vague集多属性决策问题。首先将决策信息和偏好信息的Vague值转化为模糊值，进一步将偏好信息转化为互补判断矩阵，从而建立目标规划模型，通过求解该模型得各指标的权重，并通过求解各方案综合属性值对方案进行排序和择优。最后给出算例。

英文摘要：

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 ev- ery alternative, the most desirable alternative is selected.At last, an example is used to illustrate the feasibility and effective- ness of the presented method.