Comparison by Correlation Metric the TOPSIS and ELECTRE II Multi-Criteria Decision Aid Methods: Application to the Environmental Preservation in the European Union Countries

Abstract

This article is part of the field of Multi-Criteria Decision Aid (MCDA), where several criteria must be considered in decision making. All criteria are generally as varied as possible and express different dimensions, and aspects of the decision problem posed. For more than four decades, several MCDA methods have emerged and have been applied perfectly to solve a large number of multi-criteria decision problems. Several studies have tried to compare these methods directly with one another. Since each method has its disadvantages and advantages, a direct comparison between the two methods is normally far from common sense and becomes subjective. In this article, we propose a rational and objective approach that will be used to compare the methods between them. This approach consists of using the famous correlation measure to evaluate the quality of the results obtained by different MCDA approaches. To prove the effectiveness of the proposed approach, experimental examples, as well as a study of real cases, will be studied. Indeed, a set of indicators, known as The Europe 2020 indicators, are defined by the European Commission (EC) to control the smart, sustainable and inclusive growth performance of the European Union countries (EU). In this proposed real study, a subset of indicators is used to compare the performance of environmental preservation and protection of the EU states. For this, the two-renowned methods MCDA ELECTRE II and TOPSIS are used to classify from the best to the worst CE countries with regard to environmental preservation. The results of the experiment that the proposed ranking quality measure is significant. For the case study shows that the ELECTRE II method results in a better ranking than that obtained by the TOPSIS method.

Extension of the ELECTRE III Method to the Case of Uncertain Preferences: Application to an Example of the Environmental Management Problem

“…And finally, for the possibility of comparing an interval with an exact value, for example, the exact value g(a) will be replaced by the interval [g(a) − , g(a) + ] with g(a) − = g(a) + , then apply the same comparison rules suggested in the extension. Lastly, our future work will focus on applying the promising results obtained in this present paper and adapting the uncertain preferences to other MCDM methods such as the TOPSIS [29] and PROMETHEE methods.…”

Sensitivity Analysis of PROMETHEE II for the Evaluation of Environmental Websites

“…The comparison of MCDM models has been proved essential in order to decide whether the model used in each purpose is the most appropriate. Therefore, different studies have applied different MCDM models to the same problem and compared the obtained rankings [19,21,25,[49][50][51][52][53][54][55][56][57][58].…”

Application of Multi-Criteria Decision-Making Models for the Evaluation Cultural Websites: A Framework for Comparative Analysis

“…A major criticism of MCDM is that different methods lead to different taxonomies when applied to the same problem [15,17,18]. For this purpose, lately, different comparative analyses of MCDM methods have been implemented in different domains [15,[19][20][21][22][23][24][25][26][27][28][29].…”