中文摘要：

针对属性权重未知且对方案有偏好的Vague集多属性决策问题，应用直觉模糊集的理论方法，建立了基于最小方差的多目标最优化模型。通过求解该模型，获得各属性的权重。此模型弥补了要瑞璞提出的线性规划模型求解属性权重为负的不足和缺、陷。通过计算各方案综合值之间比较的可能度，给出了相应决策分析方法。进行了实例分析，说明了该方法的实用性和有效性。

英文摘要：

With respect to the uncertain multicriteria decision-making problems with preference information on alternatives,using the theory of intuitionistic fuzzy sets, the optimization model based on the minimizing deviation is established.By solving the model, the attribute weights are obtained.It has overcome the defect of linear program model.By calculating the possibility degree of synthesize value of every alternative, a new method is presented.Finally, an example is provided.It has been shown that the method developed in this paper is rational, feasible and effective.