区间粗糙数层次分析法

针对基于点判断矩阵、区间判断矩阵的层次分析法存在信息缺失及没有考虑决策者风险偏好的不足,定义并构造了区间粗糙数判断矩阵,由此将区间粗糙数引入层次分析法中,并提出相应的排序方法,得到仍然是区间粗糙数形式的排序权重向量.这不仅可以保留决策者更多的判断信息.而且还可以反映决策者的风险偏好.将粗糙集的客观性和层次分析法的主观性有机地结合起来,形成区间粗糙数层次分析法.最后通过算例说明所提方法的可行性.

Analytic hierarchy process based on interval rough number

The deficiencies of analytic hierarchy process based on point judgment matrix and interval judgment matrix are lacking of information and regardless of the decision-maker's risk preference. Against these deficiencies, this paper defines and constructs judgment matrix based on interval rough number. From this, interval rough number is introduced into analytic hierarchy process. Then a new ranking method is proposed and the priority vector in form of interval rough number is presented. The results not only preserve more judgment information, but also reflect the decision-maker's risk preference. The objectivity of rough set is combined with the subjectivity of analytic hierarchy process, forming analytic hierarchy process based on interval rough number. Finally, an example is used to illustrate the feasibility of the proposed method.