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On Fuzzy Equations with 2x2 Matrices

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F14%3AA1601BPZ" target="_blank" >RIV/61988987:17310/14:A1601BPZ - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Fuzzy Equations with 2x2 Matrices

  • Original language description

    The question of probability of a system of fuzzy equations solvability in a max--t-norm fuzzy algebra for several t-norms and 2x2 matrices is considered. We derive that the probability of solving such a system is very low, namely 1/10 for Godel norm, 11/60 for Lukasiewicz norm, 5/36 for product norm and zero for drastic norm. These results are surprising compared to the case of a finite vector space, where the probability is one.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2014

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Strengthening Links between Data Analysis and Soft Computing

  • ISBN

    978-3-319-10764-6

  • ISSN

  • e-ISSN

  • Number of pages

    7

  • Pages from-to

    97-103

  • Publisher name

    Springer

  • Place of publication

  • Event location

    Varšava, Polsko

  • Event date

    Sep 22, 2014

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article