D 2020

Occurrence and Violation of Transitivity of Preferences in Pairwise Comparisons

MAZUREK, Jiří and Zuzana NENIČKOVÁ

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

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.
Displayed: 20/10/2024 22:18