以灰色系统理论和模糊数学为基础，探讨了不确定型决策问题的特性，分析了一些相关成果中所给方法在直接处理灰色模糊数方面的优势与不足。运用优化理论和熵极大化准则，建立了基于灰色模糊关系的多属性群体决策方法，分别对属性权重向量已知和未知两种情况给出了简便实用的算法，通过算例说明了算法的合理性。

Based on grey system theory and fuzzy theory, uncertain decision making problems and several relative articles were studied, then points out the advantage and shortage of them when dealing with grey fuzzy set were pointed out. In this paper, using optimization theory and the maximum entropy formulism, a method for multi-attribute group decision making based on the theory of grey fuzzy relation is established. Furthermore, two practical algorithms are given, in which attribute weights are known or unknown respectively. Finally, an example demonstrates the validity of this method.