Decision making based on tropical algebra
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F13%3A50001780" target="_blank" >RIV/62690094:18450/13:50001780 - 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
Decision making based on tropical algebra
Original language description
In AHP approach to multi-criteria decision problem, the relative importance of alternatives is computed from preference matrices, which come from experience and can possibly be inconsistent. Standardly, the preference vector is computed as the eigenvector of the preference matrix by methods of linear algebra. Alternative use of non-standard methods in tropical algebra is considered in this paper. The preference matrix will be processed by the methods used in max-prod algebra and other tropical algebras.Given preference matrix will be transformed by the tropical operations, until a steady state is reached. The eigenvector of the matrix then describes the steady state preferences and respects all preference relations contained in the original matrix. Efficient algorithms for computing eigenvectors in the tropical algebra are described. The method is illustrated by numerical examples and compared with the linear algebra approach. The consistent and inconsistent cases are considered.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
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
Mathematical methods in economics 2013 : proceedings of the 31st international conference
ISBN
978-80-87035-76-4
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
950-955
Publisher name
Vysoká škola polytechnická
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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