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Matrix period in max-drast fuzzy algebra

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F12%3A50000479" target="_blank" >RIV/62690094:18450/12:50000479 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Matrix period in max-drast fuzzy algebra

  • Original language description

    Computation of matrix power period in max-drast fuzzy algebra is described. Matrix power sequences occur in the theory of complex fuzzy systems with transition matrix in max-t algebra, where t is a given triangular fuzzy norm. Behavior of matrix powers in max-min algebra has been well described in literature. The matrix powers in max-drast algebra behave differently. Though, in some cases their properties are rather closely related. Description of the system in max-drast algebra reflects extreme demandson reliability of the system in sense of total reliability of the path between two nodes in the corresponding directed graph. Getting from node i to j reliably means that all edges in the path are weighted by 1, such a path is called strong. The path iscalled weak if there is exactly one uncertainty represented by a weak edge (having positive weight smaller than 1) in the path. Inadmissible path contains two or more weak edges. New elements do not appear in the matrices during the comp

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/EE2.3.20.0001" target="_blank" >EE2.3.20.0001: Information, cognitive, and interdisciplinary research support</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2012

  • 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 : proceedings of 30th international conference

  • ISBN

    978-80-7248-779-0

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    213-218

  • Publisher name

    Slezská univerzita. Obchodně podnikatelská fakulta

  • Place of publication

    Karviná

  • Event location

    Karviná

  • Event date

    Sep 11, 2012

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article