权重不完全确定的直觉模糊多属性决策的灰色关联分析方法

针对属性权重信息不完全确定且属性值以直觉模糊数形式给出的多属性决策问题提出了一种灰色关联分析的方法. 首先介绍了直觉模糊理论的有关概念, 然后依据TOPSIS、灰色关联分析法给出了解决问题的步骤, 并通过一个单目标优化模型求得属性信息的确定值, 从而得到排序结果. 最后给出了一个应用实例, 其结果表明了该方法的实用性和有效性.

Intuitionistic Fuzzy Multiple Attribute Decision Making Method Based on Grey Relational Analysis with Incomplete Attribute Weights

This paper aimed at the intuitionistic fuzzy multiple attributes decision making issues with incomplete attribute weights, and we proposed a grey relational analysis method. First of all, the relative conception of the intuitionistic fuzzy theory was introduced, then we presented the steps to solve this kind of problem basing on the basic idea of TOPSIS and traditional grey relational analysis method, by utilizing the single objective programming model we got the determinate value of the weights information, so the rank was carried out. Finally, an example was used to illustrate the feasibility and effectiveness of the proposed approach.