TOPSIS法应用中的逆序问题

在多属性决策中,TOPSIS法是一种常用的排序方法,传统的TOPSIS法在应用中容易产生逆序。本文分析TOPSIS法产生逆序的主要原因,提出一种基于参照标准和绝对理想解的改进方法,不仅举出实例对改进的TOPSIS法进行了有效验证,而且对本文方法的保序范围也做了进一步说明。与其他排序方法相比,当决策方案集发生变动时,本方法还能充分利用已有计算结果,使得决策所需计算量大大减少。

Order Reversal in the Use of the TOPSIS

TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) is a common Multi-Attribute Decision Making (MADM) approach based on ordering. The order reversal during an increase of the number of comparing schemes may occur in the traditional TOPSIS and its cause is analyzed in this paper. A modified method is proposed, based on comparing standard and absolute ideal solutions. An example shows that with the modified method which can achieve an order preservation and its scope is explicitly illustrated. Comparing with other ordering approach, the method proposed in this paper uses also the previous calculated results while the number of schemes in the MADM is changed, so the computational amount for the decision making is greatly reduced.