三端点区间数互反判断矩阵的排序方法研究

Research on the Priority Method of Three-point Interval Number Reciproca Judgment Matrix

本文研究了三端点区间数互反判断矩阵的一致性和排序方法。在三端点区间数互反判断矩阵完全一致性概念的基础上,首次将矩阵特征向量思想引入三端点区间数互反判断矩阵之中——研究了三端点区间数互反判断矩阵的一致性与权重向量之间的类似特征向量关系,并运用线性规划模型给出一种处理三端点区间数决策者对方案属性权重的方法,然后通过三端点区间数权重向量的期望值,进行方案集结排序。最后通过具体的案例,验证了所提出方法的有效性和适用性。

The consistency and the priority method of three-point interval number Reciproca judgment matrix are studied. Based on the definition of three-point interval number reciproca judgment matrix, the relations between the consistency and the the weight vector for three-point interval number reciproca judgment matrix discussed. Then, a linear programming model is established,and the weight vector of threepoint interval number reciproca judgment matrix is obtained. By using the expectations of three-point interval number reciproca judgment matrix, the decision alternatives are ranked. Finally, some numerical examples illustrate the effectiveness and practicality of the proposed methods.