基于理想解的灰色模糊多属性群决策方法

Fuzzy multi-attribute group decision-making

将灰色理论与模糊数学理论相结合,同时考虑模糊性和灰性,建立基于理想解法的灰色模糊多属性群决策方法.群体中各个专家对决策的评价都用灰色三角模糊数表示.然后把专家群体的意见进行集结,得到专家群体判断决策矩阵,将复杂的灰色模糊群体决策问题转化为一般的多属性决策问题,再利用理想解法求得最佳的决策方案.最后给出实例分析,说明本文方法的有效性和合理性.

This paper, taking into consideration of grey and fuzzy information at the same time, establishes an ideal solu- tion-based grey fuzzy multi-attribute group decision-making patten. The evaluation of each expert for decision-making are presented by the grey triangular fuzzy numbers. The group judgment decision matrix can be got by assembling the views of the expert groups. Therefore grey fuzzy multi-attribute group decision-making is translated into a general multi-attribute de- cision-making problems. And then use the ideal solution to obtain the best decision-making program. Lastly a decision-mak- ing example to show the feasibility and the effectiveness of the proposed approach is given.