A comprehensive guide to the TOPSIS method for multi-criteria decision making

Mitra Madanchian, Hamed Taherdoost
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Abstract

One common multi-criteria decision making (MCDM) technique is the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS), which is frequently applied in several application fields. Finding an ideal and an anti-ideal solution, which are then utilized to determine the distances between the alternatives and the ideal solution, is the foundation of the TOPSIS approach. The method then ranks the alternatives according to their closeness to the ideal solution. TOPSIS is able to handle both quantitative and qualitative criteria, however, the method can be sensitive to the weight of the criteria, and the ranking results can be influenced by the choice of the reference alternatives. This paper provides an overview of the TOPSIS method, its applications, main characteristics and limitations. The paper also provides step-by-step instructions on how to apply the TOPSIS method, including the determination of the criteria weights, the construction of the decision matrix, and the calculation of the TOPSIS scores.

多准则决策的TOPSIS方法的综合指南
一种常见的多准则决策(MCDM)技术是理想解相似偏好排序技术(TOPSIS),该技术被广泛应用于多个应用领域。寻找理想解和反理想解,然后利用它们来确定备选方案与理想解之间的距离,这是TOPSIS方法的基础。然后,该方法根据与理想解的接近程度对备选方案进行排序。TOPSIS能够处理定量和定性标准,但是该方法对标准的权重比较敏感,并且参考选项的选择会影响排序结果。本文综述了TOPSIS方法及其应用、主要特点和局限性。本文还提供了如何应用TOPSIS方法的逐步说明,包括确定标准权重,构建决策矩阵和计算TOPSIS分数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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