Detailed Information on Publication Record
2021
A Numerical Comparison of the Sensitivity of the Geometric Mean Method, Eigenvalue Method, and Best–Worst Method
MAZUREK, Jiří, Radomír PERZINA, Jaroslav RAMÍK and David BARTLBasic information
Original name
A Numerical Comparison of the Sensitivity of the Geometric Mean Method, Eigenvalue Method, and Best–Worst Method
Authors
MAZUREK, Jiří (203 Czech Republic, guarantor, belonging to the institution), Radomír PERZINA (203 Czech Republic, belonging to the institution), Jaroslav RAMÍK (203 Czech Republic, belonging to the institution) and David BARTL (203 Czech Republic, belonging to the institution)
Edition
Mathematics, MDPI, 2021, 2227-7390
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10102 Applied mathematics
Country of publisher
Switzerland
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
RIV identification code
RIV/47813059:19520/21:A0000189
Organization unit
School of Business Administration in Karvina
UT WoS
000628360000001
Keywords in English
Best–Worst Method; Eigenvalue Method; Geometric Mean Method; Monte Carlo simulations; pairwise comparisons; sensitivity
Tags
Tags
International impact, Reviewed
Links
GA21-03085S, research and development project.
Změněno: 12/4/2022 10:23, Miroslava Snopková
Abstract
V originále
In this paper, we compare three methods for deriving a priority vector in the theoretical framework of pairwise comparisons—the Geometric Mean Method (GMM), Eigenvalue Method (EVM) and Best–Worst Method (BWM)—with respect to two features: sensitivity and order violation. As the research method, we apply One-Factor-At-a-Time (OFAT) sensitivity analysis via Monte Carlo simulations; the number of compared objects ranges from 3 to 8, and the comparison scale coincides with Saaty’s fundamental scale from 1 to 9 with reciprocals. Our findings suggest that the BWM is, on average, significantly more sensitive statistically (and thus less robust) and more susceptible to order violation than the GMM and EVM for every examined matrix (vector) size, even after adjustment for the different numbers of pairwise comparisons required by each method. On the other hand, differences in sensitivity and order violation between the GMM and EMM were found to be mostly statistically insignificant.