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 。
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.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2001年第12期80-83,共4页
Systems Engineering and Electronics
基金
浙江省自然科学基金资助课题 (6980 69)
关键词
多指标决策
逆序
系统决策
理想点决策
Multiple attribute decision making
Absolute ideal point
Rank reversal
Rank preservation
