Incomplete fuzzy preference matrix and its application to ranking of alternatives
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F14%3A%230002946" target="_blank" >RIV/47813059:19520/14:#0002946 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/int.21663" target="_blank" >http://dx.doi.org/10.1002/int.21663</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/int.21663" target="_blank" >10.1002/int.21663</a>
Alternative languages
Result language
angličtina
Original language name
Incomplete fuzzy preference matrix and its application to ranking of alternatives
Original language description
A fuzzy preference matrix is the result of pairwise comparison a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns the value between 0 and 1 to any pair of alternatives representing the element of thefuzzy preference matrix. Here, we investigate relations between transitivity and consistency of fuzzy preference matrices and multiplicative preference ones.The obtained results are applied to situ- ations where some elements of the fuzzy preference matrix are missing. We propose a new method for completing fuzzy matrix with missing elements called the extension of the fuzzy preference matrix. We investigate some important particular case of fuzzy preference matrix with missing elements. Consequently,by the eigenvector of the transformed matrix we obtain the corresponding priority vector. Illustrative numerical examples are supplemented.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA14-02424S" target="_blank" >GA14-02424S: Methods of operations research for decision support under uncertainty</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Intelligent Systems
ISSN
1098-111X
e-ISSN
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Volume of the periodical
29
Issue of the periodical within the volume
8
Country of publishing house
US - UNITED STATES
Number of pages
20
Pages from-to
20
UT code for WoS article
000337632700005
EID of the result in the Scopus database
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