Fixing Inconsistent Saaty's Matrix using Nonlinear Optimization Model

Kód výsledku v 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>

Výsledek na webu

<a href="https://euro2022espoo.com/conference-programme/" target="_blank" >https://euro2022espoo.com/conference-programme/</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Fixing Inconsistent Saaty's Matrix using Nonlinear Optimization Model

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Fixing Inconsistent Saaty's Matrix using Nonlinear Optimization Model

Popis výsledku anglicky

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

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

EURO 2022 Abstract Book

ISBN

978-951-95254-1-9

ISSN

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e-ISSN

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Počet stran výsledku

1

Strana od-do

84-84

Název nakladatele

Aalto University, Espoo Finland

Místo vydání

Espoo

Místo konání akce

Espoo

Datum konání akce

3. 7. 2022

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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