 A method to analyze the rank reversal problem in the ELECTRE II methodXianliang Liu and Yonghao Ma Omega, 2021, vol. 102, issue C Abstract: In multi-criteria decision-making (MCDM) methods, the rank reversal is a highly important problem for analyzing the reliability of MCDM methods. The main objective of this paper is to analyze and precisely predict the occurrence of rank reversal in the ELECTRE II method. First, some useful properties of the optimal alternatives are obtained in the descending and ascending distillation processes. Second, two new concepts named combination relation digraph and numerator matrix are proposed to precisely analyze and greatly simplify the rank reversal in the ELECTRE II method. Third, all the reasons for the rank reversal in the ELECTRE II method are revealed more completely. Fourth, the necessary and sufficient conditions are proposed for determining whether or not the rank reversal occurs in the ELECTRE II method. Additionally, the proposed methods in this paper are valid for analyzing the rank reversal in the ELECTRE method with discriminating thresholds. Finally, five examples are used to evaluate the correctness and effectiveness of the methods that are proposed in this paper. Keywords: Decision analysis; Multiply criteria decision making; Rank reversal problem; ELECTRE II method (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:jomega:v:102:y:2021:i:c:s030504832030671x Ordering information: This journal article can be ordered from DOI: 10.1016/j.omega.2020.102317 Access Statistics for this article Omega is currently edited by B. Lev More articles in Omega from Elsevier |
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