Optimisation Approach to Dealing with Saaty’s Inconsistency

Kód výsledku v 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>

Výsledek na webu

<a href="https://mme2022.vspj.cz/" target="_blank" >https://mme2022.vspj.cz/</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Optimisation Approach to Dealing with Saaty’s Inconsistency

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Optimisation Approach to Dealing with Saaty’s Inconsistency

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název statě ve sborníku

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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Počet stran výsledku

6

Strana od-do

104-109

Název nakladatele

College of Polytechnics Jihlava

Místo vydání

Jihlava

Místo konání akce

Jihlava

Datum konání akce

7. 9. 2022

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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