Decision making in max-prod algebra
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F13%3A50001777" target="_blank" >RIV/62690094:18450/13:50001777 - 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 in max-prod 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 prefference 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. Two most frequently used tropical algebras are the max-plus and the max-prod algebra. The preference matrixwill be processed by the methods used in max-prod algebra. By max-prod algebra we understand a linear structure on a linearly ordered set R of real numbers together with the binary operations oplus= maximum and otimes = product, similarly as the ordinary addition and multiplication operations are used in the classical linear algebra. The operations oplus and otimes are extended to matrices and vectors in a natural way. We should remark that the max-prod algebra is isomorphic to max-
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
IN - Informatics
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
Czech-Japan seminar on data analysis and decision making under uncertainty : proceedings
ISBN
978-80-245-1950-0
ISSN
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e-ISSN
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Number of pages
7
Pages from-to
91-97
Publisher name
Vysoká škola ekonomická. Fakulta managementu
Place of publication
Jindřichův Hradec
Event location
Mariánské Lázně
Event date
Sep 19, 2012
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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