Satisfaction of the condition of order preservation: A simulation study

• Authors: MAZUREK Jiří , KUŁAKOWSKI Konrad
• Languages of publication: EN

Abstracts

EN

We examine the satisfaction of the condition of order preservation (COP) concerning different levels of inconsistency for randomly generated multiplicative pairwise comparison matrices (MPCMs) of the order from 3 to 9, where a priority vector is derived both by the eigenvalue (eigenvector) method (EV) and the geometric mean (GM) method. Our results suggest that the GM method and the EV method preserve the COP almost identically, both for the less inconsistent matrices (with Saaty’s con-sistency index below 0.10), and the more inconsistent matrices (Saaty’s consistency index equal to or greater than 0.10). Further, we find that the frequency of the COP violations grows (almost linearly) with the increasing inconsistency of MPCMs measured by Koczkodaj’s inconsistency index and Saaty’s consistency index, respectively, and we provide graphs to illustrate these relationships

Keywords

EN

pairwise comparisons; eigenvalue method; geometric mean method; condition of order preser-vation numerical simulation

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2020
• Volume: 30
• Issue: 2
• Pages: 77-89

Contributors

author

MAZUREK Jiří

• School of Business Administration in Karvina, Silesian University in Opava Univerzitní náměstí 1934/3, 733 40 Karviná, Czech Republic

author

KUŁAKOWSKI Konrad

• AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Cracow, Poland

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Identifiers

DOI

10.37190/ord200205