Satisfaction of the condition of order preservation : a simulation study

• Autorzy: Mazurek Jiří , Kułakowski Konrad

Identyfikatory

DOI

10.37190/ord200205

• Języki publikacji: EN

Abstrakty

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 consistency 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.

Słowa kluczowe

EN

pairwise comparisons; eigenvalue method; geometric mean method; condition of order preservation; numerical simulation

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2020
• Tom: Vol. 30, No. 2
• Strony: 77--89
• Opis fizyczny: Bibliogr. 25 poz., rys., tab.

Twórcy

autor

Mazurek Jiří

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

autor

Kułakowski Konrad

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

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).