A Consensual Coherent Priority Vector of Pairwise Comparison Matrices in Group Decision-Making

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F23%3AA0000365" target="_blank" >RIV/47813059:19520/23:A0000365 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.researchgate.net/publication/374698114_A_Consensual_Coherent_Priority_Vector_of_Pairwise_Comparison_Matrices_in_Group_Decision-Making" target="_blank" >https://www.researchgate.net/publication/374698114_A_Consensual_Coherent_Priority_Vector_of_Pairwise_Comparison_Matrices_in_Group_Decision-Making</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

A Consensual Coherent Priority Vector of Pairwise Comparison Matrices in Group Decision-Making

Popis výsledku v původním jazyce

The Analytic Hierarchy Process (AHP) is a method proposed to solve complex multi-criteria decision-making problems. Pairwise comparison methods are often used in AHP to derive the priorities of the successors of an element in the hierarchy. In this paper, we are concerned with group decision-making; that is, given n objects, such as criteria and/or variants, let m decision makers evaluate the n objects (pairwise) with respect to a criterion. The task is then to find a consensual priority vector of the m given n×n reciprocal pairwise comparison matrices. Recalling several desirable properties of the priority vector – consistency, intensity, and coherence – we consider the weakest one of the three, i.e. coherence, in the rest of the paper. In other words, given m coherent priority vectors, each provided by a decision maker of the group, the purpose is to find a single consensual priority vector of the group. To cope with this task, we propose a grade to measure the consensuality of a priority vector. We thus obtain an optimization problem, whose solution yields an optimal consensual ranking of the n given objects.

Název v anglickém jazyce

A Consensual Coherent Priority Vector of Pairwise Comparison Matrices in Group Decision-Making

Popis výsledku anglicky

The Analytic Hierarchy Process (AHP) is a method proposed to solve complex multi-criteria decision-making problems. Pairwise comparison methods are often used in AHP to derive the priorities of the successors of an element in the hierarchy. In this paper, we are concerned with group decision-making; that is, given n objects, such as criteria and/or variants, let m decision makers evaluate the n objects (pairwise) with respect to a criterion. The task is then to find a consensual priority vector of the m given n×n reciprocal pairwise comparison matrices. Recalling several desirable properties of the priority vector – consistency, intensity, and coherence – we consider the weakest one of the three, i.e. coherence, in the rest of the paper. In other words, given m coherent priority vectors, each provided by a decision maker of the group, the purpose is to find a single consensual priority vector of the group. To cope with this task, we propose a grade to measure the consensuality of a priority vector. We thus obtain an optimization problem, whose solution yields an optimal consensual ranking of the n given objects.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA21-03085S" target="_blank" >GA21-03085S: Párové porovnání a data mining při podpoře rozhodovacích procesů</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Proceedings of the 41st International Conference on Mathematical Methods in Economics: September 13–15, 2023: Prague, Czech Republic

ISBN

9788011041328

ISSN

2788-3965

e-ISSN

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Počet stran výsledku

6

Strana od-do

1-6

Název nakladatele

Czech Society for Operations Research

Místo vydání

Prague

Místo konání akce

Prague

Datum konání akce

13. 9. 2023

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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