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Some notes on the category of fuzzy implications on bounded lattices

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F21%3A00545168" target="_blank" >RIV/67985556:_____/21:00545168 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.kybernetika.cz/content/2021/2/332" target="_blank" >https://www.kybernetika.cz/content/2021/2/332</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.14736/kyb-2021-2-0332" target="_blank" >10.14736/kyb-2021-2-0332</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Some notes on the category of fuzzy implications on bounded lattices

  • Original language description

    In this paper, we introduce the product, coproduct, equalizer and coequalizer notions on the category of fuzzy implications on a bounded lattice that results in the existence of the limit, pullback, colimit and pushout. Also isomorphism, monic and epic are introduced in this category. Then a subcategory of this category, called the skeleton, is studied. Where none of any two fuzzy implications are Φ-conjugate.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Kybernetika

  • ISSN

    0023-5954

  • e-ISSN

  • Volume of the periodical

    57

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    20

  • Pages from-to

    332-351

  • UT code for WoS article

    000659161800008

  • EID of the result in the Scopus database

    2-s2.0-85108862284