区间数互补判断矩阵排序的一种新方法

Novel method for priorities in the interval numbers complementary judgment matrix

研究了决策信息以区间数互补判断矩阵形式给出的多目标决策问题.给出了区间数一致性互补判断矩阵的概念及其判定定理;建立了一个目标规划模型,通过求解该模型得到区间数互补判断矩阵的权重向量;利用已有的可能度公式对方案进行排序与择优.提出了区间数互补判断矩阵排序的目标规划法,该方法具有操作简便和易于上机实现的特点.

We focus on studying the multi-objective decision making problems, in which the preference information provided by the decision maker takes the form of an interval numbers complementary judgment matrix. Firstly, the concept of interval numbers consistency comlementary judgment matrix and its judgment theorem are given. Secondly, a goal pmgramming model is estabhshed and the weight vector of interval numbers complementary judgment matrix is obtained by solving the model. Finally, the alternatives are ranked by using an existing priority formula of possibility. A goal progmming method for interval numbers complementary judgment matrix is presented and characterized by simple operation and it is easv to implement on computer.