| GÓRECKI, Jan, David BARTL and Jaroslav RAMÍK. Robustness of priority deriving methods for pairwise comparison matrices against rank reversal: A probabilistic approach. Annals of Operations Research. Springer, 2024, vol. 333, Neuveden, p. 249-273. ISSN 0254-5330. Available from: https://dx.doi.org/10.1007/s10479-023-05753-0. |
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@article{73662,
author = {Górecki, Jan and Bartl, David and Ramík, Jaroslav},
article_number = {Neuveden},
doi = {http://dx.doi.org/10.1007/s10479-023-05753-0},
keywords = {Decision analysis; Pairwise comparison matrix; Priority vector; Random perturbations; Rank reversal},
language = {eng},
issn = {0254-5330},
journal = {Annals of Operations Research},
title = {Robustness of priority deriving methods for pairwise comparison matrices against rank reversal: A probabilistic approach},
url = {https://link.springer.com/article/10.1007/s10479-023-05753-0},
volume = {333},
year = {2024}
}
TY - JOUR
ID - 73662
AU - Górecki, Jan - Bartl, David - Ramík, Jaroslav
PY - 2024
TI - Robustness of priority deriving methods for pairwise comparison matrices against rank reversal: A probabilistic approach
JF - Annals of Operations Research
VL - 333
IS - Neuveden
SP - 249-273
EP - 249-273
PB - Springer
SN - 02545330
KW - Decision analysis
KW - Pairwise comparison matrix
KW - Priority vector
KW - Random perturbations
KW - Rank reversal
UR - https://link.springer.com/article/10.1007/s10479-023-05753-0
N2 - This work aims to answer the natural question of how probable it is that a given method produces rank reversal in a priority vector (PV) if a decision maker (DM) introduces perturbations to the pairwise comparison matrix (PCM) under concern. We focus primarily on the concept of robustness against rank reversal, independent of specific methods, and provide an in-depth statistical insight into the application of the Monte Carlo (MC) approach in this context. This concept is applied to three selected methods, with a special emphasis on scenarios where a method may not provide outputs for all possible PCMs. All results presented in this work are replicable using our open-source implementation.
ER -
GÓRECKI, Jan, David BARTL and Jaroslav RAMÍK. Robustness of priority deriving methods for pairwise comparison matrices against rank reversal: A probabilistic approach. \textit{Annals of Operations Research}. Springer, 2024, vol.~333, Neuveden, p.~249-273. ISSN~0254-5330. Available from: https://dx.doi.org/10.1007/s10479-023-05753-0.
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