基于模糊信息的群体多维偏好分析决策模型

针对具有模糊信息的群体多属性决策问题,对原多维偏好分析线性规划(LINMAP)法进行了改进,定义了群体一致度和不一致度,利用语言变量评价指标值和定义模糊数间距离等方法,把经典LINMAP法推广到具有模糊信息的多人决策情况,最后给出了一个应用实例,结果证明该方法具有较强的实用价值,为模糊群体多属性决策问题提供了一个新的解决途径.

Extension of LINMAP to Group Decision under Fuzzy Environment

The aim of this paper is to extend the LINMAP to the group decision-making under the fuzzy environment. According to vague concept of group Multiple Criteria Decision Making(MCDM), this paper defines the concepts of the group consistence and inconsistence, uses fuzzy number to express the rating of each alternative which is described by linguistic terms, and presents the distance between two fuzzy numbers. Furthermore, the fuzzy group decision-making model of LINMAP is shown in this paper. It is also proved by an example that this model presents a new solution to the fuzzy group MCDM and can be applied in many decision-making problems.