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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

  • DOI - Digital Object Identifier

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

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    IN - Informatics

  • OECD FORD branch

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

  • e-ISSN

  • 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