Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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.
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03313878
Contributor : jean-pierre magnot Connect in order to contact the contributor
Submitted on : Wednesday, August 4, 2021 - 6:58:31 PM
Last modification on : Wednesday, October 20, 2021 - 3:19:02 AM
Long-term archiving on: : Friday, November 5, 2021 - 7:21:41 PM

File

normPC-v17.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03313878, version 1

Collections

Citation

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

Share

Metrics

Record views

23

Files downloads

29