模糊偏好条件下多目标群决策的方法

决策环境下更多的状况是偏好模糊的和多目标的。将两种比较复杂的条件转化成简单明晰的决策结果一直是研究的课题，而且这方面的理论尚不完善，在此基础上，研究了模糊偏好条件下一致左阵的性质，证明了模糊一致矩阵与模糊互补矩阵等价的充要条件，并以此作为构造模糊一致矩阵的理论基础，进一步提出了模糊偏好条件下多目标群决策的一种方法，并给出了一个算例。

Multi-Attribute Group Decision-Making Method under Fuzzy Preferences

Fuzzy and multi attribute conditions exist widely in the decision making environments. It has been research interest to make the two complex conditions be a simple and distinct relation, the theory about which, however, is not satisfactory. In this paper, the properties of consistent matrix under fuzzy preferences are studied, and two necessary and sufficient conditions for the equivalence between fuzzy consistent matrix and fuzzy compensation matrix are proved. The multi attribute group decision making method under fuzzy preferences is proposed based on the analysis. The effectiveness of the method is shown with a practical example.