Rank Reversal and the VIKOR Method: An Empirical Evaluation

Blanca Ceballos, David A. Pelta and María T. Lamata
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Blanca Ceballos: Department of Computer Science and A.I., Universidad de Granada, Spain
David A. Pelta: Department of Computer Science and A.I., Universidad de Granada, Spain
María T. Lamata: Department of Computer Science and A.I., Universidad de Granada, Spain

International Journal of Information Technology & Decision Making (IJITDM), 2018, vol. 17, issue 02, 513-525

Abstract: Rank reversal is a common phenomenon in multi-criteria decision-making methods. It appears when the addition/deletion of new options to the alternatives’ set produces a change in the original ranking. In this contribution, we want to assess this phenomenon in the context of the VIKOR method. Using randomly generated multi-criteria decision problems, we confirmed that rank reversal existed and strongly depended on VIKOR’s parameter. Also, we observed that the influence of the number of alternatives was stronger than that of the number of criteria. Finally, although rank reversal may exist, we saw that it may not affect the top alternative of the ranking, thus potentially having a low impact.

Keywords: Multiple criteria decision-making; VIKOR method; rank reversal (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0219622017500237

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