Occurrence and Violation of Transitivity of Preferences in
Pairwise Comparisons

D 2020

Occurrence and Violation of Transitivity of Preferences in Pairwise Comparisons

MAZUREK, Jiří a Zuzana NENIČKOVÁ

Základní údaje

Originální název

Occurrence and Violation of Transitivity of Preferences in Pairwise Comparisons

Autoři

MAZUREK, Jiří a Zuzana NENIČKOVÁ

Vydání

BRNO, 38TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS (MME 2020), od s. 371-376, 6 s. 2020

Nakladatel

MENDEL UNIV BRNO

Další údaje

Jazyk

angličtina

Typ výsledku

Stať ve sborníku

Obor

10102 Applied mathematics

Stát vydavatele

Česká republika

Utajení

není předmětem státního či obchodního tajemství

Forma vydání

elektronická verze "online"

Organizační jednotka

Obchodně podnikatelská fakulta v Karviné

ISBN

978-80-7509-734-7

UT WoS

000668460800057

Klíčová slova anglicky

pairwise comparisons; pairwise comparisons matrix; preferences; transitivity; Monte Carlo method

Příznaky

Recenzováno

Návaznosti

GA18-01246S, projekt VaV.

Změněno: 23. 1. 2022 13:48, Ing. Zuzana Neničková, Ph.D.

Anotace

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.

Citovat

MAZUREK, Jiří a Zuzana NENIČKOVÁ. Occurrence and Violation of Transitivity of Preferences in Pairwise Comparisons. Online. In Kapouek, S Vranova, H. 38TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS (MME 2020). BRNO: MENDEL UNIV BRNO, 2020, s. 371-376. ISBN 978-80-7509-734-7.

@inproceedings{56781,
   author = {Mazurek, Jiří and Neničková, Zuzana},
   address = {BRNO},
   booktitle = {38TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS (MME 2020)},
   editor = {Kapouek, S Vranova, H},
   keywords = {pairwise comparisons; pairwise comparisons matrix; preferences; transitivity; Monte Carlo method},
   howpublished = {elektronická verze "online"},
   language = {eng},
   location = {BRNO},
   isbn = {978-80-7509-734-7},
   pages = {371-376},
   publisher = {MENDEL UNIV BRNO},
   title = {Occurrence and Violation of Transitivity of Preferences in Pairwise Comparisons},
   year = {2020}
}

TY  - JOUR
ID  - 56781
AU  - Mazurek, Jiří - Neničková, Zuzana
PY  - 2020
TI  - Occurrence and Violation of Transitivity of Preferences in Pairwise Comparisons
PB  - MENDEL UNIV BRNO
CY  - BRNO
SN  - 9788075097347
KW  - pairwise comparisons
KW  - pairwise comparisons matrix
KW  - preferences
KW  - transitivity
KW  - Monte Carlo method
N2  - 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.
ER  -

MAZUREK, Jiří a Zuzana NENIČKOVÁ. Occurrence and Violation of Transitivity of Preferences in Pairwise Comparisons. Online. In Kapouek, S Vranova, H. \textit{38TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS (MME 2020)}. BRNO: MENDEL UNIV BRNO, 2020, s.~371-376. ISBN~978-80-7509-734-7.

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