Detailed Information on Publication Record
2020
Occurrence and Violation of Transitivity of Preferences in Pairwise Comparisons
MAZUREK, Jiří and Zuzana NENIČKOVÁBasic information
Original name
Occurrence and Violation of Transitivity of Preferences in Pairwise Comparisons
Authors
Edition
BRNO, 38TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS (MME 2020), p. 371-376, 6 pp. 2020
Publisher
MENDEL UNIV BRNO
Other information
Language
English
Type of outcome
Stať ve sborníku
Field of Study
10102 Applied mathematics
Country of publisher
Czech Republic
Confidentiality degree
není předmětem státního či obchodního tajemství
Publication form
electronic version available online
Organization unit
School of Business Administration in Karvina
ISBN
978-80-7509-734-7
UT WoS
000668460800057
Keywords in English
pairwise comparisons; pairwise comparisons matrix; preferences; transitivity; Monte Carlo method
Tags
Reviewed
Links
GA18-01246S, research and development project.
Změněno: 23/1/2022 13:48, Ing. Zuzana Neničková, Ph.D.
Abstract
V originále
Pairwise comparisons are an important tool of modern (multiple criteria) decision making and form a fundamental part of the analytic hierarchy/network process (AHP/ANP), ELECTRE, PROMETHEE and other sophisticated methods. One of the most important features of logically consistent preferences is their transitivity. The aim of this paper is to compare occurrence and violation of transitivity of preferences in pairwise comparisons for pairwise comparisons matrices (PCMs) provided by human experts and PCMs generated randomly (Monte Carlo method) with the use of Saaty's fundamental scale. Our results suggest that the occurrence of transitivity is more frequent for humanmade PCMs, while transitivity violation is more frequent for random PCMs. This indicates that transitivity analysis can be used for discrimination between human-made and random PCMs.