J 2017

On the inconsistency of pairwise comparisons: An experimental study

MAZUREK, Jiří a Radomír PERZINA

Základní údaje

Originální název

On the inconsistency of pairwise comparisons: An experimental study

Autoři

MAZUREK, Jiří (203 Česká republika, domácí) a Radomír PERZINA (203 Česká republika, domácí)

Vydání

Scientific Papers of the University of Pardubice, Series D: Faculty of Economics and Administration, 2017, 1211555X

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10102 Applied mathematics

Stát vydavatele

Česká republika

Utajení

není předmětem státního či obchodního tajemství

Kód RIV

RIV/47813059:19520/17:00010930

Organizační jednotka

Obchodně podnikatelská fakulta v Karviné

Klíčová slova anglicky

AHP; consistency index; consistency ratio; experiment; inconsistency; pairwise comparisons

Návaznosti

GA14-02424S, projekt VaV.
Změněno: 7. 2. 2020 11:00, RNDr. Daniel Jakubík

Anotace

V originále

A problem of the inconsistency of pairwise comparisons is of focal interest in the analytic hierarchy process (AHP), but, up to date, we know only little about how much are real decision makers inconsistent, and whether the number of objects to be compared influences the inconsistency of their judgments. Therefore, the aim of this paper is to experimentally assess how the inconsistency of pairwise comparisons in the AHP framework changes when the number of objects to be compared (alternatives and/or criteria) increases. In our study, the method of a blind experiment was selected: subjects of the study, who were familiar with the AHP, were instructed to pairwise compare from 3 to 7 objects not knowing the true objective of the study. The main result obtained via ANOVA method is that the consistency ratio was not affected by the increasing number of compared objects, the result that might be likely attributed to the apparent redundancy of pairwise comparisons in the AHP which "corrects" inconsistent judgments. Also, it was found that only 3% of pairwise comparison matrices provided by decision makers were fully consistent, while for 36% of pairwise comparison matrices the consistency ratio CR exceeded the threshold of 0.10.
Zobrazeno: 1. 12. 2024 19:38