Weak Consistency: A New Approach to Consistency in the Saaty's Analytic Hierarchy Process

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33146478" target="_blank" >RIV/61989592:15310/13:33146478 - isvavai.cz</a>

Výsledek na webu

<a href="http://mant.upol.cz/soubory/ActaMath/2013/52-2-07.pdf" target="_blank" >http://mant.upol.cz/soubory/ActaMath/2013/52-2-07.pdf</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Weak Consistency: A New Approach to Consistency in the Saaty's Analytic Hierarchy Process

Popis výsledku v původním jazyce

In the decision making methods based on the pairwise comparison there is very important to enter the preferences of compared elements in the rational way. Only in this case we are able to obtain the reasonable solution. In the Analytic Hierarchy Process(AHP) there is set a strict consistency conditionin order to keep the rationality of preference intensities between compared elements. But this requirement for the Saaty's matrix is not achievable in the real situations because of the Saaty's scale whichis used in this method. That is why instead of the consistency condition we suggest a weak consistency condition which is very natural and more suitable for the linguistic d escriptions of the Saaty's scale and as a result of it, it is easier to reach this requirement in the real situations. In addition, if we order compared elements from the most preferred to the least preferred, it is very easy to check if the weak consistency is satisfied.

Název v anglickém jazyce

Weak Consistency: A New Approach to Consistency in the Saaty's Analytic Hierarchy Process

Popis výsledku anglicky

In the decision making methods based on the pairwise comparison there is very important to enter the preferences of compared elements in the rational way. Only in this case we are able to obtain the reasonable solution. In the Analytic Hierarchy Process(AHP) there is set a strict consistency conditionin order to keep the rationality of preference intensities between compared elements. But this requirement for the Saaty's matrix is not achievable in the real situations because of the Saaty's scale whichis used in this method. That is why instead of the consistency condition we suggest a weak consistency condition which is very natural and more suitable for the linguistic d escriptions of the Saaty's scale and as a result of it, it is easier to reach this requirement in the real situations. In addition, if we order compared elements from the most preferred to the least preferred, it is very easy to check if the weak consistency is satisfied.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

Acta Universitatis Palackianae Olomucensis, Facultas Rerum Naturalium, Mathematica

ISSN

0231-9721

e-ISSN

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Svazek periodika

52

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

13

Strana od-do

"71?83"

Kód UT WoS článku

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EID výsledku v databázi Scopus

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