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.

Incoherence measures and relations between coherence conditions for pairwise comparisons / Brunelli, Matteo; Cavallo, Bice. - In: DECISIONS IN ECONOMICS AND FINANCE. - ISSN 1593-8883. - 43:2(2020), pp. 613-635. [10.1007/s10203-020-00291-x]

Incoherence measures and relations between coherence conditions for pairwise comparisons

Brunelli, Matteo;
2020-01-01

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.
2020
2
Brunelli, Matteo; Cavallo, Bice
Incoherence measures and relations between coherence conditions for pairwise comparisons / Brunelli, Matteo; Cavallo, Bice. - In: DECISIONS IN ECONOMICS AND FINANCE. - ISSN 1593-8883. - 43:2(2020), pp. 613-635. [10.1007/s10203-020-00291-x]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/284755
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