A gradient method for inconsistency reduction of pairwise comparisons matrices - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

A gradient method for inconsistency reduction of pairwise comparisons matrices

Abstract

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.
Fichier principal
Vignette du fichier
normPC-v17.pdf (385.28 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

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

Identifiers

  • HAL Id : hal-03313878 , version 1

Cite

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

Share

Gmail Facebook Twitter LinkedIn More