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
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
RIV identification code
RIV/47813059:19520/21:A0000246
Organization unit
School of Business Administration in Karvina
Keywords in English
pairwise comparisons; Analytic Hierarchy Process; Eigenvalue method; Geometric Mean Method; AHP; EVM; GMM
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.
Displayed: 26/12/2024 23:34