中文摘要：

基于犹豫模糊集和语言变量,给出犹豫模糊语言变量的定义.采用犹豫模糊语言变量建模决策过程中的不确定信息,在考虑属性权重信息部分可知的情况下,提出了一个新的多属性决策方法.首先,利用犹豫模糊语言变量给出方案的评价值.然后,采用极大偏差法建立线性规划模型确定属性权重向量.最后,采用TOPSIS方法对方案进行排序,并且给出了具体的方案排序方法.为了说明新方法的可行性和有效性,我们将其应用到地铁壁画的评价上.实例表明新方法确实是一个简单有效的方法.

英文摘要：

Uncertain information modeled by linguistic arguments and fuzzy memberships, a new multiple attribute decision making method, has been proposed with partly known attribute weight information. First we use linguistic arguments and fuzzy memberships to model uncer- tain information, then a linear programming by using the maximum deviation method is set up to determine the attribute weights, and next the TOPSIS is used to rank the alternatives. We apply the proposed methods to evaluating paintings in Xi＇an subway to illustrate its efficiency and practical advantages. Numerical example substantiates the effectiveness of the proposed method.