Optimal consistent approximation of a preference matrix in decision making
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F16%3A50003842" target="_blank" >RIV/62690094:18450/16:50003842 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1504/IJMOR.2016.079810" target="_blank" >http://dx.doi.org/10.1504/IJMOR.2016.079810</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1504/IJMOR.2016.079810" target="_blank" >10.1504/IJMOR.2016.079810</a>
Alternative languages
Result language
angličtina
Original language name
Optimal consistent approximation of a preference matrix in decision making
Original language description
New approach to the inconsistency problem of preference matrices is described. The optimal consistent approximation (OCA) is computed as a consistent matrix with the minimal distance from the given (not necessarily consistent) preference matrix A. The approximation is found by a linear optimization method under assumption that A is antisymmetric. Moreover, a modified method (MOCA) is suggested for treating the incomplete preference matrices. MOCA can also be used for identification of so-called outliers -- the entries badly influencing the distance of the nearest consistent approximation.
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
BC - Theory and management systems
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
2016
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 mathematics in operational research
ISSN
1757-5850
e-ISSN
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Volume of the periodical
9
Issue of the periodical within the volume
4
Country of publishing house
GB - UNITED KINGDOM
Number of pages
15
Pages from-to
520-534
UT code for WoS article
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EID of the result in the Scopus database
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