Inconsistency indices for pairwise comparisons and the Pareto dominance principle

Matteo Brunelli and Michele Fedrizzi

European Journal of Operational Research, 2024, vol. 312, issue 1, 273-282

Abstract: We consider the problem of quantifying inconsistency in pairwise comparisons and valued-preferences. A wide range of indices have been proposed in the literature to perform this task, and two sets of conditions have been introduced to validate such indices. We summarize some criticisms from the literature and we add more evidence to show that neither of the two systems is adequate in its current formulation. Thanks to the widely accepted concept of weak Pareto dominance, we formulate a new property. We argue that a simple regularity condition and this new property can overcome the shortcomings of the two axiomatic systems, and represents a significantly simpler framework. Finally, we claim that, if we had resorted to strict Pareto dominance, we would have needed just one axiom.

Keywords: Multiple criteria analysis; Pairwise comparisons; Preference relations; Consistency; Inconsistency index (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:312:y:2024:i:1:p:273-282

DOI: 10.1016/j.ejor.2023.06.033

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