A proper fuzzification of Saaty's scale and an improved method for computing fuzzy weights in fuzzy AHP
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33146483" target="_blank" >RIV/61989592:15310/13:33146483 - isvavai.cz</a>
Result on the web
<a href="https://www.vspj.cz/soubory/download/id/2259" target="_blank" >https://www.vspj.cz/soubory/download/id/2259</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
A proper fuzzification of Saaty's scale and an improved method for computing fuzzy weights in fuzzy AHP
Original language description
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
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
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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Number of pages
6
Pages from-to
"452?457"
Publisher name
Vysoká škola polytechnická Jihlava
Place of publication
JIhlava
Event location
Jihlava
Event date
Sep 11, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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