Abstract
A novel approach for solving a multiple judge, multiple criteria decision making (MCDM) problem is proposed. The presence of multiple criteria leads to a non-total order relation. The ranking of the alternatives in such a framework is done by reinterpreting the MCDM problem as a multivariate statistics one and by applying the concepts in Hamel and Kostner (J Multivar Anal 167:97–113, 2018). A function that ranks alternatives as well as additional functions that categorize alternatives into sets of “good” and “bad” choices are presented. The paper shows that the properties of these functions ensure a reasonable decision making process.
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Acknowledgements
The author would like to thank the editors of MMOR for having considered the paper and the two anonymous reviewers for many useful suggestions, which have improved the presentation considerably. He is very grateful to Andreas Hamel for his precious advice and support as well as to Pablo Koch Medina and Cosimo-Andrea Munari for their inspiring talks in Zurich.
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Kostner, D. Multi-criteria decision making via multivariate quantiles. Math Meth Oper Res 91, 73–88 (2020). https://doi.org/10.1007/s00186-019-00675-9
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DOI: https://doi.org/10.1007/s00186-019-00675-9