Fuzzy preference matrix with missing elements 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%2F13%3A%230002181" target="_blank" >RIV/47813059:19520/13:#0002181 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Fuzzy preference matrix with missing elements and its application to ranking of alternatives
Original language description
A fuzzy preference matrix is the result of pair-wise 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 the fuzzy preference matrix. Here, we investigate relations between transitivity and consistency of fuzzy preference matrices and multiplicative preference ones. The obtained results are applied to situations 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 cases 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
D - Article in proceedings
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA402%2F09%2F0405" target="_blank" >GA402/09/0405: Development of Non-standard Optimization Methods and their Applications in Economy and Management</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
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
Proc. of the 31st International Conference Mathematical Methods in Economics 2013
ISBN
978-80-87035-76-4
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
767-772
Publisher name
VSP- College of Polytechnics 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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