Analysis of complete preorders provided by aggregation methods: application for the public landfill site selection
Journal Title: Metallurgical and Mining Industry - Year 2018, Vol 10, Issue 1
Abstract
The purpose of this article is to analyze the complete preorders resulting from the aggregation of a set of preferences by the methods of Borda and Condorcet, and with the SMART model. The aggregation methods of the candidates’ evaluations, according to Borda and Condorcet, do not require weights for the considered criteria. On the other hand, the SMART model, which is a multi-criteria aggregation procedure, requires it. In multi-criteria decision making, the criteria weights are directly assigned by the decision maker or indirectly determined starting from methods of calculation. In this work, four neutral methods are used to elicit the criteria weights. They are: 1) standard deviation method, 2) entropy method, 3) statistical method and 4) total variation method. The criteria weights obtained by those four neutral methods, which have the advantage of neutrality and objectivity, are separately used in the SMART model. And that, to analyze the impact of the obtained criteria weights on the selection of the best solution. The choice of the best alternative and the ranking of the remaining alternatives (considered) are studied for each complete preorder provided by the Borda and Condorcet methods as well as by the SMART model (with four variants of the criteria weights). In this article, an illustrative application is performed. It concerns a public landfill site selection problem.
Authors and Affiliations
Bouhedja Ahcène, Idres Abdelaziz, Kristina Janečková Molnárová, Aissa Benselhoub, Mohamed Bounouala, Kadour Boukhmis, Samir Bouhedja, Malek Ould Hamou
Keywords
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