On the similarity between ranking vectors in the pairwise
comparison method

J 2021

On the similarity between ranking vectors in the pairwise comparison method

KULAKOWSKI, Konrad, Jiří MAZUREK a Michal STRADA

Základní údaje

Originální název

On the similarity between ranking vectors in the pairwise comparison method

Autoři

KULAKOWSKI, Konrad (616 Polsko, garant), Jiří MAZUREK (203 Česká republika, domácí) a Michal STRADA (616 Polsko)

Vydání

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

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10201 Computer sciences, information science, bioinformatics

Stát vydavatele

Velká Británie a Severní Irsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Kód RIV

RIV/47813059:19520/21:A0000246

Organizační jednotka

Obchodně podnikatelská fakulta v Karviné

DOI

http://dx.doi.org/10.1080/01605682.2021.1947754

UT WoS

000676043700001

Klíčová slova anglicky

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

Štítky

impakt

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

Anotace

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.

Citovat

KULAKOWSKI, Konrad, Jiří MAZUREK a Michal STRADA. On the similarity between ranking vectors in the pairwise comparison method. Journal of the Operational Research Society. 2021, není, není, s. 1-18. ISSN 0160-5682. Dostupné z: https://dx.doi.org/10.1080/01605682.2021.1947754.

@article{55163,
   author = {Kulakowski, Konrad and Mazurek, Jiří and Strada, Michal},
   article_number = {není},
   doi = {http://dx.doi.org/10.1080/01605682.2021.1947754},
   keywords = {pairwise comparisons; Analytic Hierarchy Process; Eigenvalue method; Geometric Mean Method; AHP; EVM; GMM},
   language = {eng},
   issn = {0160-5682},
   journal = {Journal of the Operational Research Society},
   title = {On the similarity between ranking vectors in the pairwise comparison method},
   url = {https://www.tandfonline.com/doi/abs/10.1080/01605682.2021.1947754},
   volume = {není},
   year = {2021}
}

TY  - JOUR
ID  - 55163
AU  - Kulakowski, Konrad - Mazurek, Jiří - Strada, Michal
PY  - 2021
TI  - On the similarity between ranking vectors in the pairwise comparison method
JF  - Journal of the Operational Research Society
VL  - není
IS  - není
SP  - 1-18
EP  - 1-18
SN  - 01605682
KW  - pairwise comparisons
KW  - Analytic Hierarchy Process
KW  - Eigenvalue method
KW  - Geometric Mean Method
KW  - AHP
KW  - EVM
KW  - GMM
UR  - https://www.tandfonline.com/doi/abs/10.1080/01605682.2021.1947754
N2  - 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.
ER  -

KULAKOWSKI, Konrad, Jiří MAZUREK a Michal STRADA. On the similarity between ranking vectors in the pairwise comparison method. \textit{Journal of the Operational Research Society}. 2021, není, není, s.~1-18. ISSN~0160-5682. Dostupné z: https://dx.doi.org/10.1080/01605682.2021.1947754.

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