Pré-Publication, Document De Travail Année : 2021

A gradient method for inconsistency reduction of pairwise comparisons matrices

Résumé

We investigate an application of a mathematically robust minimization methodthe gradient method-to the consistencization problem of a pairwise comparisons (PC) matrix. Our approach sheds new light on the notion of a priority vector and leads naturally to the definition of instant priority vectors. We describe a sample family of inconsistency indicators based on various ways of taking an average value, which extends the inconsistency indicator based on the "sup"-norm. We apply this family of inconsistency indicators both for additive and multiplicative PC matrices to show that the choice of various inconsistency indicators lead to non-equivalent consistencization procedures.

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Dates et versions

hal-03313878 , version 1 (04-08-2021)

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  • HAL Id : hal-03313878 , version 1

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Jean-Pierre Magnot, Jiří Mazurek, Viera Cernanova. A gradient method for inconsistency reduction of pairwise comparisons matrices. 2021. ⟨hal-03313878⟩
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