| 层次分析中排序的一种新方法 |
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| 引用本文： | 徐泽水,魏翠萍.层次分析中排序的一种新方法[J].运筹学学报,2000,4(4):47-54. |
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| 作者姓名： | 徐泽水 魏翠萍 |
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| 作者单位： | 1. 南京通信工程学院,南京,210016
2. 曲阜师范大学运筹所,山东曲阜,273165 |
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| 基金项目： | Research supported by NSF of China and Shandong. |
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| 摘 要： | Saaty提出的特征向量排序方法（EM）已被广泛应用于层次分析（AHP）中。本文提出一种判断矩阵排序的最小扰动性（LPM），并给出一个收敛性迭代算法和一些算例。LPM在几个重要方面优于EM。理论分析和数据结果表明：LPM是一种可行且有效的排序方法。
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| 关 键 词： | 层次分析法 判断矩阵 最小扰动法 排序 AHP LPM |
| 修稿时间： | 1998年4月20日 |
A New Method for Priorities in the Analytic Hierarchy Process |
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| ZESHUI XU,CUIPING WEI.A New Method for Priorities in the Analytic Hierarchy Process[J].OR Transactions,2000,4(4):47-54. |
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| Authors: | ZESHUI XU CUIPING WEI |
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| Abstract: | The eigenvector method (EM) proposed by T.L.Saaty has been popularly used at each branching of the Analytic Hierarchy Process (AHP). It is an especially effective tool for analyzing hierarchical problems. In this paper, we present a least perturbations method (LPM) to derive the priority vectors of judgement matrices and give a simple convergent iterative algorithm and some numerical examples. The LPM is preferable to the EM in several important respects. Theoretical analysis and the numerical results all show that the LPM is feasible and effective. |
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| Keywords: | the Analytic Hierarchy Process judgement matrix the least perturbations method |
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