一种灰色模糊多属性决策模型

A Grey Fuzzy Multi-attribute Decision Making Method

实际中的决策问题常常具有不确定性和灰色性。文中根据灰色系统和模糊数学的一些理论,同时考虑一个问题中的模糊性——隶属度与灰色性——灰度,将其综合起来表示为灰色模糊数的概念。在原有多属性决策(MADM)方法的基础上提出了一种灰色模糊多属性决策模型,并给出了模型的求解方法。待决策的各方案的排序是依据其到灰色模糊理想解的灰色模糊距离大小而进行的。

Uncertainty and grey often exist in many practical decision making problems.Based on the theories of grey system and fuzzy set,this paper presents the grey fuzzy set by intergrating member ship degree and grey degree,and provides a grey fuzzy multi-attribute decision making method,which takes into account of the influence of both uncertainty and grey.An algorithm is also given for solving the model.Alternatives are ranked according to their grey fuzzy distance to grey fuzzy ideal solution.