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Comparison of multi-criteria decision methods through a ranking stability index

Mbarka Selmi, Tarek Kormi and Nizar Bel Hadj Ali

International Journal of Operational Research, 2016, vol. 27, issue 1/2, 165-183

Abstract: Various multi-criteria decision-making (MCDM) procedures have been developed over the last few decades to help decision-making in complex and seemingly intractable decision tasks. A major criticism of various MCDM methods is that they may yield different results when applied to the same problem. A comparative study is proposed here to identify similarities and divergences between the most used MCDM methods. Compared approaches include: ELECTRE III, PROMETHEE I and II, TOPSIS, AHP and PEG. Two multi-criteria case studies are presented. Studied methods are employed to establish an arrangement of a number of alternatives based on two and eight conflicting criteria, respectively. A Gini index is used to quantify rankings dispersion of Pareto optima obtained through studied MCDM methods. Results highlight the sensitivity of the Pareto-compromise design and ranking to the applied MCDM method.

Keywords: multicriteria decision making; MCDM; Pareto compromise design; ranking dispersion; Gini index; ranking stability; ELECTRE III; PROMETHEE; TOPSIS; AHP; analytical hierarchy process; PEG; Pareto-Edgeworth-Grierson. (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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