Fixing Inconsistent Saaty's Matrix using Nonlinear Optimization Model

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41110%2F22%3A91299" target="_blank" >RIV/60460709:41110/22:91299 - isvavai.cz</a>
Result on the web
<a href="https://euro2022espoo.com/conference-programme/" target="_blank" >https://euro2022espoo.com/conference-programme/</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Fixing Inconsistent Saaty's Matrix using Nonlinear Optimization Model
Original language description
We revisit the famous Saatys AHP method, where the data inconsistency issue is often present. Saatys pairwise comparison matrix is considered inconsistent if the transitivity of preferences between criteria is not satisfied to an acceptable level. There are ways of measuring the level of matrix inconsistency. When the inconsistency reaches over the critical threshold, it is necessary to make adjustments to the original data. This may be impossible because 1) the decision-maker is not available anymore for re-evaluation 2) the decision-maker is not capable of doing so as it may be hard to recognize the cause of inconsistency, especially in larger matrices. There are various ways of fixing inconsistency in the literature. We propose our own approach, different from the existing one, based on a non-linear optimization model. We suggest changing the original data as little as possible to preserve most of the original information while reaching an acceptable inconsistency level. Our optimization problem i
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

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