基于偏好信息区间权重的求解

Deriving Interval Weight Based on Preference Information

在Saaty所定义的一致性条件下,提出一种含有参数的互反判断矩阵元素与权重的逻辑关系,并对参数进行说明同时得到一些重要的结论.然后把所提的逻辑关系推广到区间互反判断矩阵,建立数学模型得到使决策者满意的区间权重.最后通过例子加于说明.

According to Saaty＇s logical relation, a new logical relation with parameter between elements of reciprocal judgment matrix and weights is proposed, The meaning of parameter is explained and some important conclusions are obtained. Then the proposed logical relation and method are extended to the interval comparison matrix to develop mathematilal models, and satisfactory interval weights are obtained. Numerical examples are provided to illustrate the proposed method.