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基于模糊信息的群体多维偏好分析决策模型 被引量:17

Extension of LINMAP to group decision in the fuzzy environment
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摘要 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(linearprogrammingtechniquesformultimensionalanalysisofpreference,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条新的解决途径。 The aim of this paper is to extend the linear programming techniques for multidimensional analysis of preference (LINMAP) to the group decision making in a fuzzy environment. According to vague concept of group multiple criteria decision making (MCDM), the group consistence and group inconsistence are defined. Fuzzy number is used to express the rating of each alternative which is described in linguistic terms, and the distance between two fuzzy numbers is given. Furthermore, a fuzzy group decision-making model of LINMAP is proposed. It is also proved by an example that this model provides a new solution to the fuzzy group MCDM and can be applied to many decision-making problems.
出处 《系统工程与电子技术》 EI CSCD 北大核心 2004年第5期605-607,675,共4页 Systems Engineering and Electronics
关键词 多维偏好分析线性规划法 群决策 模糊数 多属性决策 LINMAP method group decision making fuzzy number multiple criteria decision making
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参考文献2

  • 1陈珽.决策分析[M].北京:科学出版社,1987..
  • 2Chen-tung Chen. Extensions of the TOPSIS for Group Decision-Making under Fuzzy Environment[J]. Fuzzy Sets and Systems, 2000,114:1-9.

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