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@proceedings{58567,
author = {Bartl, David and Ramík, Jaroslav},
booktitle = {Book of Abstracts of the 41st International Conference on Mathematical Methods in Economics: September 13–15, 2023: Prague, Czech Republic},
keywords = {multi-criteria group decision-making; pairwise comparison matrices; consensual priority vector; coherence; Analytic Hierarchy Process (AHP)},
language = {eng},
isbn = {978-80-11-04133-5},
title = {A Consensual Coherent Priority Vector of Pairwise Comparison Matrices in Group Decision-Making},
url = {https://mme2023.vse.cz/mme_2023_abstracts.pdf},
year = {2023}
}
TY - CONF
ID - 58567
AU - Bartl, David - Ramík, Jaroslav
PY - 2023
TI - A Consensual Coherent Priority Vector of Pairwise Comparison Matrices in Group Decision-Making
SN - 9788011041335
KW - multi-criteria group decision-making
KW - pairwise comparison matrices
KW - consensual priority vector
KW - coherence
KW - Analytic Hierarchy Process (AHP)
UR - https://mme2023.vse.cz/mme_2023_abstracts.pdf
N2 - 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.
ER -
BARTL, David a Jaroslav RAMÍK. A Consensual Coherent Priority Vector of Pairwise Comparison Matrices in Group Decision-Making. In \textit{Book of Abstracts of the 41st International Conference on Mathematical Methods in Economics: September 13–15, 2023: Prague, Czech Republic}. 2023. ISBN~978-80-11-04133-5.
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