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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。
In this paper, we study the consistency and ranking method of three-terminal interval reciprocal judgment matrix. Based on the conception of the completeness of the reciprocal judgment matrix of three-terminal interval number, the idea of matrix eigenvectors was first introduced into the matrix of reciprocal judgment of the three-terminal interval numbers. The consistency of three-terminal interval reciprocal judgment matrix and We use the linear programming model to give a method to deal with the weight of the scheme attributes of the decision makers of the three-endpoint interval, and then we can make the order of the scheme aggregation through the expectation of the weight vector of the three-terminal interval number. Finally, the concrete case is used to verify the validity and applicability of the proposed method.