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F1-transform in fuzzy Fredholm integral equations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA2202C56" target="_blank" >RIV/61988987:17610/21:A2202C56 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.atlantis-press.com/proceedings/ifsa-eusflat-agop-21/125960341" target="_blank" >https://www.atlantis-press.com/proceedings/ifsa-eusflat-agop-21/125960341</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.2991/asum.k.210827.022" target="_blank" >10.2991/asum.k.210827.022</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    F1-transform in fuzzy Fredholm integral equations

  • Original language description

    The goal of this study is to solve fuzzy Fredholm integral equations of the second kind. In order to solve these equations with respect to fuzzy valued functions, we propose a very powerful and relatively simple technique called fuzzy transform. This approach allows the transformation of a fuzzy Fred-holm integral equation to a system of algebraic equations. A solution to this algebraic system gives the appropriate parameters of the inverse F1-transform. Hence, we can estimate the approximate solution to the original problem. The existence and uniqueness of the exact solution and approximate solution are also discussed.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centre for the development of Artificial Intelligence Methods for the Automotive Industry of the region</a><br>

  • Continuities

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

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)

  • ISBN

    978-94-6239-423-0

  • ISSN

    2589-6644

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    158-163

  • Publisher name

    Atlantis Press

  • Place of publication

  • Event location

    Bratislava

  • Event date

    Jan 1, 2021

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article