MAZUREK, Jiří and Radomír PERZINA. On the inconsistency of pairwise comparisons: An experimental study. Scientific Papers of the University of Pardubice, Series D: Faculty of Economics and Administration. 2017, vol. 24, No 41, p. 102-109. ISSN 1211555X.
Other formats:   BibTeX LaTeX RIS
Basic 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
Original language English
Type of outcome Article in a journal
Field of Study 10102 Applied mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
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.
Changed by Changed by: RNDr. Daniel Jakubík, učo 139797. Changed: 7/2/2020 11:00.
Abstract
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.
PrintDisplayed: 4/5/2024 05:07