Incoherence measures and relations between coherence conditions for pairwise comparisons

Matteo Brunelli () and Bice Cavallo ()
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Matteo Brunelli: University of Trento
Bice Cavallo: University of Naples Federico II

Decisions in Economics and Finance, 2020, vol. 43, issue 2, No 11, 613-635

Abstract: Abstract Coherence of preferences, and the measurement of its violation, has been a long-standing issue in decision analysis. This paper continues the inquiry into coherence conditions for pairwise comparisons following a distance-based approach, in which the deviations from coherence conditions are measured on a continuous scale. Firstly, we consider eight coherence conditions already introduced in the literature and provide a complete study on their inclusion relations. Then, we consider four of these conditions and introduce optimization problems to quantify the extent of their violation.

Keywords: Pairwise comparisons; Preference relations; Coherence; Mixed-integer linear programming (search for similar items in EconPapers)
JEL-codes: C44 C65 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10203-020-00291-x

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