Consistency test of the judgment matrix is an essential step in the aplication of Analytic Hierarchy Process (AHP). This thesis presents an algerithm concerning the adjustment of a judgment matrix when it failed to pa...Consistency test of the judgment matrix is an essential step in the aplication of Analytic Hierarchy Process (AHP). This thesis presents an algerithm concerning the adjustment of a judgment matrix when it failed to pass the consistency test.展开更多
为比选长输管道线路路由方案,定量分析各方案的适应性,提出了一种基于“层次分析法—逼近理想解排序法”(Analytic Hierarchy Process-Technique for Order Preference by Similarity to Ideal Solution,AHP-TOPSIS)的线路路由比选方法...为比选长输管道线路路由方案,定量分析各方案的适应性,提出了一种基于“层次分析法—逼近理想解排序法”(Analytic Hierarchy Process-Technique for Order Preference by Similarity to Ideal Solution,AHP-TOPSIS)的线路路由比选方法。以陕京二线输气管道大盂—石家庄分输站段路由方案比选为例,选取投资估算、隧道穿越情况和通过活动断裂带情况等10个指标,确定线路路由比选指标体系,构建目标层—准则层—方案层的递阶层次模型;通过构建AHP-TOPSIS评估模型,计算各指标权重并排序,构建加权规范化决策矩阵,计算各方案与理想方案的相对接近程度,从而确定最佳方案。分析结果表明:投资估算、隧道穿越情况和通过活动断裂带情况对线路路由方案的选择影响较大;通过定量计算,路由方案中南线方案更优,与工程实践也相符合。工程实例证实AHP-TOPSIS法能够用于长输管道线路路由比选,为最佳方案的选择提供依据。展开更多
The main faults existing in current scale methods are that the scales do not represent the real importance of alternatives and their relations. This paper presents a proportion judgment scale and introduces a new meth...The main faults existing in current scale methods are that the scales do not represent the real importance of alternatives and their relations. This paper presents a proportion judgment scale and introduces a new method based on the proportion scale for construction comparison matrix in the analytic hierarchy process (AHP). The proportion judgment scales do not have the faults existing in current scale methods and the comparison matrix constructed by the new scale展开更多
The ranking problem is studied when the pairwise comparisons values are unoertain in the analytic hierarchy process （AHP）. The method of constructing the judgment matrix is presented when the pairwise comparisons va...The ranking problem is studied when the pairwise comparisons values are unoertain in the analytic hierarchy process （AHP）. The method of constructing the judgment matrix is presented when the pairwise comparisons values are denoted by the unascertained three-valued reciprocal scales. By turning the reciprocal judgment matrix into attribute judgment matrix, the method to check the consistency of the pairwise comparisons judgment matrix and the calculation method of weighting coefficients are given. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.展开更多
文摘Consistency test of the judgment matrix is an essential step in the aplication of Analytic Hierarchy Process (AHP). This thesis presents an algerithm concerning the adjustment of a judgment matrix when it failed to pass the consistency test.
文摘为比选长输管道线路路由方案,定量分析各方案的适应性,提出了一种基于“层次分析法—逼近理想解排序法”(Analytic Hierarchy Process-Technique for Order Preference by Similarity to Ideal Solution,AHP-TOPSIS)的线路路由比选方法。以陕京二线输气管道大盂—石家庄分输站段路由方案比选为例,选取投资估算、隧道穿越情况和通过活动断裂带情况等10个指标,确定线路路由比选指标体系,构建目标层—准则层—方案层的递阶层次模型;通过构建AHP-TOPSIS评估模型,计算各指标权重并排序,构建加权规范化决策矩阵,计算各方案与理想方案的相对接近程度,从而确定最佳方案。分析结果表明:投资估算、隧道穿越情况和通过活动断裂带情况对线路路由方案的选择影响较大;通过定量计算,路由方案中南线方案更优,与工程实践也相符合。工程实例证实AHP-TOPSIS法能够用于长输管道线路路由比选,为最佳方案的选择提供依据。
基金This project was supported by Zhejiang Provincial Natural Science Foundation of China (No. 601076).
文摘The main faults existing in current scale methods are that the scales do not represent the real importance of alternatives and their relations. This paper presents a proportion judgment scale and introduces a new method based on the proportion scale for construction comparison matrix in the analytic hierarchy process (AHP). The proportion judgment scales do not have the faults existing in current scale methods and the comparison matrix constructed by the new scale
文摘The ranking problem is studied when the pairwise comparisons values are unoertain in the analytic hierarchy process （AHP）. The method of constructing the judgment matrix is presented when the pairwise comparisons values are denoted by the unascertained three-valued reciprocal scales. By turning the reciprocal judgment matrix into attribute judgment matrix, the method to check the consistency of the pairwise comparisons judgment matrix and the calculation method of weighting coefficients are given. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.
