| 理想点决策方法的逆序问题与逆序的消除 |
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| 引用本文： | 黄德才,郑河荣.理想点决策方法的逆序问题与逆序的消除[J].系统工程与电子技术,2001,23(12):80-83. |
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| 作者姓名： | 黄德才 郑河荣 |
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| 作者单位： | 浙江工业大学信息工程学院, |
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| 基金项目： | 浙江省自然科学基金资助课题(698069) |
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| 摘 要： | 分析了多指标决策方法存在逆序的客观合理性与主观不合理性,提出了绝对理想点和相对理想点等重要概念.说明了TOPSIS等理想点决策方法产生逆序的原因是决策时选用了相对理想点.提出了GTOPSIS方法并证明当使用绝对理想点时,GTOPSIS等理想点多指标决策方法不仅不会出现逆序,而且都是强保序的.
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| 关 键 词： | 多指标决策 绝对理想点 逆序 保序 |
| 文章编号： | 1001-506X(2001)12-0080-04 |
| 修稿时间： | 2001年1月2日 |
Study on the Problem and Elimination of Rank Reversal Existing in Ideal Point Multiple Attribute Decision Making |
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| HUANG De?cai,ZHENG He?rong.Study on the Problem and Elimination of Rank Reversal Existing in Ideal Point Multiple Attribute Decision Making[J].System Engineering and Electronics,2001,23(12):80-83. |
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| Authors: | HUANG De?cai ZHENG He?rong |
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| Abstract: | This paper analyses the objective rationality and the subjective non-rationality of rank reversal existing in ideal point multiple attribute decision making, and introduces the concepts of absolute ideal points and relative ideal points firstly. It is pointed out that the rank reversal existing in ideal point multiple attribute decision making, such as TOPSIS, is the results of using relative ideal points. Then a generalized TOPSIS, called GTOPSIS, is presented. It is proved that if using absolute ideal points, ideal point multiple attribute decision making, such as GTOPSIS etc, are strong rank preservation, namely there exists not any rank reversal in them. |
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| Keywords: | Multiple attribute decision making Absolute ideal point Rank reversal Rank preservation |
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