On the use of linguistic labels in AHP: calibration, consistency and related issues

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33159923" target="_blank" >RIV/61989592:15310/16:33159923 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989592:15210/16:33159923

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

On the use of linguistic labels in AHP: calibration, consistency and related issues

Popis výsledku v původním jazyce

Saaty's AHP method is a frequently used method in decision support. It provides its users with a simple and effective way to input necessary information concerning his/her preferences through pair-wise comparisons, as well as various consistency measures of the expressed preferences. The linguistic level attached to Saaty's fundamental scale provides a seemingly easy-to-use interface between the model (pair-wise comparison matrices) and its users. In this paper we focus on the linguistic level of Saaty's fundamental scale and analyze the consequences of its use as it was proposed by Saaty. We show that even in the context of the consistency condition as defined by Saaty, the linguistic level seems to be improperly defined and calibration of the linguistic labels might be in place. Also proper transformations into different languages rather than simple translations of the terms suggested in English are necessary. We argue, that in the context of the existence of a transformation between the multiplicative and additive form of Saaty's matrices it is reasonable to investigate whether the additive or the multiplicative form should be used to confirm (or appropriately set) the meanings of the linguistic terms. We illustrate on a practical example how the calibration of the meanings of linguistic terms in the additive form can affect the performance of the linguistic level in terms of consistency in the multiplicative form.

Název v anglickém jazyce

On the use of linguistic labels in AHP: calibration, consistency and related issues

Popis výsledku anglicky

Saaty's AHP method is a frequently used method in decision support. It provides its users with a simple and effective way to input necessary information concerning his/her preferences through pair-wise comparisons, as well as various consistency measures of the expressed preferences. The linguistic level attached to Saaty's fundamental scale provides a seemingly easy-to-use interface between the model (pair-wise comparison matrices) and its users. In this paper we focus on the linguistic level of Saaty's fundamental scale and analyze the consequences of its use as it was proposed by Saaty. We show that even in the context of the consistency condition as defined by Saaty, the linguistic level seems to be improperly defined and calibration of the linguistic labels might be in place. Also proper transformations into different languages rather than simple translations of the terms suggested in English are necessary. We argue, that in the context of the existence of a transformation between the multiplicative and additive form of Saaty's matrices it is reasonable to investigate whether the additive or the multiplicative form should be used to confirm (or appropriately set) the meanings of the linguistic terms. We illustrate on a practical example how the calibration of the meanings of linguistic terms in the additive form can affect the performance of the linguistic level in terms of consistency in the multiplicative form.

Druh

D - Stať ve sborníku

CEP obor

BB - Aplikovaná statistika, operační výzkum

OECD FORD obor

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Projekt

<a href="/cs/project/GA14-02424S" target="_blank" >GA14-02424S: Metody operačního výzkumu pro podporu rozhodování v podmínkách neurčitosti</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the 34th International Conference on Mathematical Methods in Economics MME 2016

ISBN

978-80-7494-296-9

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

785-790

Název nakladatele

Technical University of Liberec

Místo vydání

Liberec

Místo konání akce

Liberec

Datum konání akce

6. 9. 2016

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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