| 一种PROMETHEE Ⅱ权重的敏感性分析方法 |
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| 引用本文： | 孙世岩,邱志明,王航宇,刘忠. 一种PROMETHEE Ⅱ权重的敏感性分析方法[J]. 运筹与管理, 2006, 15(6): 44-47 |
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| 作者姓名： | 孙世岩 邱志明 王航宇 刘忠 |
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| 作者单位： | 1. 海军工程大学,电子工程学院,湖北,武汉,430033
2. 海军装备研究院,系统所,北京,100073 |
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| 摘 要： | 以往MADM的敏感性分析主要研究的是使方案集排序稳定的参数区间。本文针对PROMETHEEⅡ方法的权重建立一种新的敏感性分析数学模型，利用经典的线性规划方法，求解使得某方案排序第一且变化最小的权重值，回答了权重超出稳定区间后排序改变方向的问题。在实际应用中，有利于帮助决策者及时调整权重，得到合理结果。
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| 关 键 词： | 多属性决策 敏感性分析 PROMETHEEⅡ 权重 |
| 文章编号： | 1007-3221(2006)06-0044-04 |
| 收稿时间： | 2006-04-12 |
| 修稿时间： | 2006-04-12 |
A Sensitivity Analysis Method of the Weights of PROMETHEE Ⅱ |
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| SUN Shi-yan,QIU Zhi-ming,WANG Hang-yu,LIU Zhong. A Sensitivity Analysis Method of the Weights of PROMETHEE Ⅱ[J]. Operations Research and Management Science, 2006, 15(6): 44-47 |
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| Authors: | SUN Shi-yan QIU Zhi-ming WANG Hang-yu LIU Zhong |
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| Affiliation: | 1. Institute of Electronic Engineering, Naval University of Engineering, Wuhan 430033, China ; 2. System Division, Naval Equipment Institute, Beijing 100073, China |
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| Abstract: | Most of the former sensitivity analysis methods in MADM only study the stable parameters intervals.In this paper,a new kind of sensitivity analysis model of the weights in PROMETHEE II is construc-(ted).In this model,the weights that change least and make certain alternative to rank first are obtained by classical linear programming method.In this way the question of how the rank order changes after the weights exceed stable intervals are answered.The analysis result proves that this method is valuable for helping decision makers to adjust the weights and obtain a reasonable result in practice. |
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