This study provides a model for result consistency evaluation of multicriterial decision making (MDM) methods and selection of the optimal one. The model is based on the analysis of results of MDM methods, that is, the analysis of changes in rankings of MDM methods that occur as a result of alterations in input parameters. In the recommended model, we examine sensitivity analysis of MDM methods to changes in criteria weight and result consistency of methods to changes in measurement scale and the way in which we formulate criteria. In the final phase of the model, we select the most suitable method to solve the observed problem and the optimal alternative. The model is tested on an example, when the optimal MDM method selection was required in order to determine the location of the logistical center. During the selection process, TOPSIS, COPRAS, VIKOR and ELECTRE methods were considered. VIKOR method demonstrated the biggest stability of rankings and was selected as the most fit method for ranking the locations of the logistical center. Results of the demonstrated analysis indicate sensitivity of standard MDM methods to criteria considered in this work. Therefore, it is necessary, to take into account stability of the considered method during the selection process of the optimal method.

中文翻译：

---

多标准决策：敏感性分析的一个例子

本研究为多准则决策（MDM）方法的结果一致性评估和最优方法的选择提供了一个模型。该模型基于对 MDM 方法结果的分析，即对由于输入参数更改而发生的 MDM 方法排名变化的分析。在推荐的模型中，我们检查了 MDM 方法对标准权重变化的敏感性分析和方法对测量尺度变化的结果一致性以及我们制定标准的方式。在模型的最后阶段，我们选择最合适的方法来解决观察到的问题和最优替代方案。当需要选择最佳 MDM 方法以确定物流中心的位置时，对该模型进行了测试。在选择过程中，TOPSIS、COPRAS、考虑了 VIKOR 和 ELECRE 方法。VIKOR方法表现出最大的排名稳定性，被选为最适合对物流中心位置进行排名的方法。演示分析的结果表明标准 MDM 方法对本工作中考虑的标准的敏感性。因此，在选择最优方法的过程中，有必要考虑所考虑方法的稳定性。