On the inconsistency of pairwise comparisons: An experimental study

@article{36031,
   author = {Mazurek, Jiří and Perzina, Radomír},
   article_number = {41},
   keywords = {AHP; consistency index; consistency ratio; experiment; inconsistency; pairwise comparisons},
   language = {eng},
   issn = {1211555X},
   journal = {Scientific Papers of the University of Pardubice, Series D: Faculty of Economics and Administration},
   title = {On the inconsistency of pairwise comparisons: An experimental study},
   volume = {24},
   year = {2017}
}

TY  - JOUR
ID  - 36031
AU  - Mazurek, Jiří - Perzina, Radomír
PY  - 2017
TI  - On the inconsistency of pairwise comparisons: An experimental study
JF  - Scientific Papers of the University of Pardubice, Series D: Faculty of Economics and Administration
VL  - 24
IS  - 41
SP  - 102-109
EP  - 102-109
SN  - 1211555X
KW  - AHP
KW  - consistency index
KW  - consistency ratio
KW  - experiment
KW  - inconsistency
KW  - pairwise comparisons
N2  - 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.
ER  - 

MAZUREK, Jiří a Radomír PERZINA. On the inconsistency of pairwise comparisons: An experimental study. Online. \textit{Scientific Papers of the University of Pardubice, Series D: Faculty of Economics and Administration}. 2017, roč.~24, č.~41, s.~102-109. ISSN~1211555X. [citováno 2024-04-23]