基于目标规划和相对优势度的区间数互反判断矩阵排序法

针对决策信息以区间数互反判断矩阵形式给出的多目标决策问题.首先,给出了区间数一致性互反判断矩阵、相对优势度等概念.其次,建立一个目标规划模型,通过求解该模型得到区间数互反判断矩阵的权重向量,并利用各方案的相对优势度和进行方案的排序.提出了一种新的区间数互反判断矩阵排序方法,该方法具有操作简便和易于上机实现的特点.最后,通过实例说明方法的可行性和有效性.

Ranking Method for Interval Numbers Reciprocal Judgment Matrix Based on Goal Programming and Relative Superiority Degree

With regard to the multi-objective decision making problems,in which the preference information provided by the decision maker on alternatives takes the form of interval numbers reciprocal judgment matrix.Firstly,some concepts,such as interval numbers consistent reciprocal judgment matrix,relative superiority degree,etc,are given.Secondly,a goal programming model is established and the weight vector of interval numbers reciprocal judgment matrix is obtained by solving the model.The alternatives are ranked by using the sum of relative superiority degree on each alternative.A new priority method for interval numbers reciprocal judgment matrix is proposed.It is characterized by simple operation and easy to implement on a computer.Finally,a practical example is illustrated to show the feasibility and availability of the developed method.