Detailed Information on Publication Record
2017
On the inconsistency of pairwise comparisons: An experimental study
MAZUREK, Jiří and Radomír PERZINABasic information
Original name
On the inconsistency of pairwise comparisons: An experimental study
Authors
MAZUREK, Jiří (203 Czech Republic, belonging to the institution) and Radomír PERZINA (203 Czech Republic, belonging to the institution)
Edition
Scientific Papers of the University of Pardubice, Series D: Faculty of Economics and Administration, 2017, 1211555X
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10102 Applied mathematics
Country of publisher
Czech Republic
Confidentiality degree
není předmětem státního či obchodního tajemství
RIV identification code
RIV/47813059:19520/17:00010930
Organization unit
School of Business Administration in Karvina
Keywords in English
AHP; consistency index; consistency ratio; experiment; inconsistency; pairwise comparisons
Links
GA14-02424S, research and development project.
Změněno: 7/2/2020 11:00, RNDr. Daniel Jakubík
Abstract
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.