MAZUREK, Jiří and Zuzana NENIČKOVÁ. Occurrence and Violation of Transitivity of Preferences in Pairwise Comparisons. In Kapouek, S Vranova, H. 38TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS (MME 2020). BRNO: MENDEL UNIV BRNO, 2020. p. 371-376. ISBN 978-80-7509-734-7.
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Basic information
Original name Occurrence and Violation of Transitivity of Preferences in Pairwise Comparisons
Authors MAZUREK, Jiří and Zuzana NENIČKOVÁ.
Edition BRNO, 38TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS (MME 2020), p. 371-376, 6 pp. 2020.
Publisher MENDEL UNIV BRNO
Other information
Original language English
Type of outcome Proceedings paper
Field of Study 10102 Applied mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
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.
Changed by Changed by: Ing. Zuzana Neničková, Ph.D., učo 21602. Changed: 23/1/2022 13:48.
Abstract
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.
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