A proper fuzzification of Saaty's scale and an improved method for computing fuzzy weights in fuzzy AHP

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

A proper fuzzification of Saaty's scale and an improved method for computing fuzzy weights in fuzzy AHP

Popis výsledku v původním jazyce

A modification to the fuzzified Saaty's scale for designing a multiplicative fuzzy pairwise comparison matrix and an improved method for computing fuzzy weights of elements from a multiplicative fuzzy pairwise comparison matrix will be proposed. For simplicity of explanation triangular fuzzy numbers will be used in this paper. In many cases of the fuzzified AHP method that can be found in the literature, the fuzzification of the Saaty's scale is not appropriate. Therefore, a new fuzzification of the Saaty's scale will be suggested. Afterwards, an improvement of the formulas proposed by Buckley and Pan and Yuan will be suggested for computing fuzzy weights from a multiplicative fuzzy pairwise comparison matrix. In the new algorithm the reciprocity condition for the pairwise comparison matrix is taken into account in each step of the computation. The fuzzy weights resulting from the proposed fuzzification of the Saaty's AHP are less uncertain than those calculated by means of Buckley's a

Název v anglickém jazyce

A proper fuzzification of Saaty's scale and an improved method for computing fuzzy weights in fuzzy AHP

Popis výsledku anglicky

A modification to the fuzzified Saaty's scale for designing a multiplicative fuzzy pairwise comparison matrix and an improved method for computing fuzzy weights of elements from a multiplicative fuzzy pairwise comparison matrix will be proposed. For simplicity of explanation triangular fuzzy numbers will be used in this paper. In many cases of the fuzzified AHP method that can be found in the literature, the fuzzification of the Saaty's scale is not appropriate. Therefore, a new fuzzification of the Saaty's scale will be suggested. Afterwards, an improvement of the formulas proposed by Buckley and Pan and Yuan will be suggested for computing fuzzy weights from a multiplicative fuzzy pairwise comparison matrix. In the new algorithm the reciprocity condition for the pairwise comparison matrix is taken into account in each step of the computation. The fuzzy weights resulting from the proposed fuzzification of the Saaty's AHP are less uncertain than those calculated by means of Buckley's a

Druh

D - Stať ve sborníku

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 statě ve sborníku

Proceedings of the 31st International Conference on Mathematical Methods in Economics 2013 - Part I.,

ISBN

978-80-87035-76-4

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

"452?457"

Název nakladatele

Vysoká škola polytechnická Jihlava

Místo vydání

JIhlava

Místo konání akce

Jihlava

Datum konání akce

11. 9. 2013

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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