Abstract
This paper proposes and characterizes a method to solve multicriteria evaluation problems when individual judgements are categorical and may fail to satisfy both transitivity and completeness. The evaluation function consists of a weighted sum of the average number of times that each alternative precedes some other, in all pairwise comparisons. It provides, therefore, a quantitative assessment which is well-grounded, immediate to compute, and easy to understand.
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12 August 2023
A Correction to this paper has been published: https://doi.org/10.1007/s40505-023-00254-6
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Acknowledgements
Thanks are due to an anonymous referee for very helpful comments. Financial support from the Spanish Ministerio de Ciencia e Innovación (project PID2019-104452RB-I00) and the Junta de Andalucía (projects FEDER UPO-1263503 and P18-RT-2135) is gratefully acknowledged.
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Villar, A. The precedence function: a numerical evaluation method for multicriteria ranking problems. Econ Theory Bull 11, 211–219 (2023). https://doi.org/10.1007/s40505-023-00249-3
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DOI: https://doi.org/10.1007/s40505-023-00249-3
Keywords
- Multidimensional evaluation
- Categorical data
- Non-transitive and incomplete preferences
- Pairwise comparisons
- Precedence function