不完全信息下的群体多属性决策方法

针对群体多属性决策问题,提出一种新的不完全信息下的群体多属性决策方法。该方法假设方案在主观评价属性下的评价值采用区间数的形式来表示专家评价值的不确定性和模糊性。针对每一主观评价属性设定一组与之对应的专家重要性权重值,反映决策者在不同评价属性中的重要性程度,同时考虑到专家评价值的相似度,将专家评价值进行集结得到专家群体关于方案集的决策矩阵。计算各方案与理想方案的相似度,并以此对方案进行优劣排序。通过实例说明所提方法的可行性。

Method of the multiple attributive group decision making under incomplete information

For the multiple attributive group decision making problems,a new method for group multi-criteria decision making with incomplete information is proposed.The alternative's evaluation values under subject attribute are interval numbers which are to express the incompleteness and vagueness of the decision maker.For each subjective attribute,a weight value vector is set to express the opinion's important degree of each expert in different area while the similarity of the expert's opinion is also taken into account.The alternatives are ranked by the similarity degrees of each alternative to ideal solution.At last,a numerical example is put forward to illustrate the method.