Optimisation Approach to Dealing with Saaty’s Inconsistency

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41110%2F22%3A91351" target="_blank" >RIV/60460709:41110/22:91351 - isvavai.cz</a>
Result on the web
<a href="https://mme2022.vspj.cz/" target="_blank" >https://mme2022.vspj.cz/</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Optimisation Approach to Dealing with Saaty’s Inconsistency
Original language description
We revisit the issue of the AHP method, wherein it often happens that an evaluation of a matrix based on Saaty scale is inconsistent. The inconsistency of the matrix originates from ill defined pairwise comparisons provided by a decisionmaker. The measurement of the inconsistency is very well known. The less discussed issue is fixing the original data to achieve the required consistency. It is not expected from the decision maker to re evaluate the comparisons because 1 the decision maker is not available anymore, 2 the decision maker is not capable of making such adjustments that would lead to inconsistency improvement. We propose our own approach based on a nonlinear optimisation model. We show how to adjust the matrix values to preserve the original information contained in the pairwise comparison while achieving acceptable inconsistency. We compare our approach with the earlier ones in the end.
Czech name
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Czech description
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Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
40th International Conference Mathematical Methods in Economics 2022 Proceedings
ISBN
978-80-88064-62-6
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
104-109
Publisher name
College of Polytechnics Jihlava
Place of publication
Jihlava
Event location
Jihlava
Event date
Sep 7, 2022
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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