从区间两两比较矩阵求优先向量的直接解

Kuo-Ping Chiao
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引用次数: 0

摘要

本文介绍了区间层次分析法(AHP)中寻找区间优先向量的两个决策变量线性规划问题的一种基于图法的直接解[9]。采用图形化的方法求解区间两两比较矩阵优先向量数学规划模型的全局最优解,而不是进行复杂的计算。图解法的解是全局极值,而不是局部极值。因此,归一化的最优优先向量称为全局最优间隔优先向量(GOIPV)。为了验证GOIPV方法,对文献中的一个数值算例进行了GOIPV方法的验证。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A direct solution for obtaining a priority vector from interval pairwise comparison matrix
A direct solution based on graphical method([9]) for linear programming with two decision variables for finding the interval priority vector in interval Analytic Hierarchy Pro-cess(AHP) is introduced in this paper. Instead of performing complicated computations, the graphical approach is developed to find the global optimal solution to the mathematical programming model for priority vector for the interval pairwise comparison matrix. The solution from graphical method is the global extremes rather than the local extremes. As a result the normalized optimal priority vector is referred to as the Global Optimal Interval Priority Vector (GOIPV). To verify GOIPV method, a numerical example from literature is reviewed with GOIPV method.
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