J 2021

On the similarity between ranking vectors in the pairwise comparison method

KULAKOWSKI, Konrad, Jiří MAZUREK and Michal STRADA

Basic information

Original name

On the similarity between ranking vectors in the pairwise comparison method

Authors

KULAKOWSKI, Konrad (616 Poland, guarantor), Jiří MAZUREK (203 Czech Republic, belonging to the institution) and Michal STRADA (616 Poland)

Edition

Journal of the Operational Research Society, 2021, 0160-5682

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10201 Computer sciences, information science, bioinformatics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

RIV identification code

RIV/47813059:19520/21:A0000246

Organization unit

School of Business Administration in Karvina

DOI

UT WoS

000676043700001

Keywords in English

pairwise comparisons; Analytic Hierarchy Process; Eigenvalue method; Geometric Mean Method; AHP; EVM; GMM

Tags

Změněno: 12/4/2022 06:29, Miroslava Snopková

Abstract

V originále

There are many priority deriving methods for pairwise comparison matrices. It is known that when these matrices are consistent all these methods result in the same priority vector. However, when they are inconsistent, the results may vary. The presented work formulates an estimation of the difference between priority vectors in the two most popular ranking methods: the eigenvalue method and the geometric mean method. The estimation provided refers to the inconsistency of the pairwise comparison matrix. Theoretical considerations are accompanied by Montecarlo experiments showing the discrepancy between the values of both methods.