Additively and Multiplicatively Transitive Fuzzy Relations in 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%230002182" target="_blank" >RIV/47813059:19520/13:#0002182 - 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
Additively and Multiplicatively Transitive Fuzzy Relations in 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 pref- erence 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
Proceedings of the 16th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty CJS 2013
ISBN
978-80-245-1950-0
ISSN
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e-ISSN
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Number of pages
16
Pages from-to
171-186
Publisher name
Faculty of Management Jindřichův Hradec, University of Economics Praha
Place of publication
Jindřichův Hradec
Event location
Mariánské Lázně
Event date
Sep 19, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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