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Covering of minimal solutions to fuzzy relational equations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73607804" target="_blank" >RIV/61989592:15310/21:73607804 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.tandfonline.com/doi/full/10.1080/03081079.2020.1865340" target="_blank" >https://www.tandfonline.com/doi/full/10.1080/03081079.2020.1865340</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1080/03081079.2020.1865340" target="_blank" >10.1080/03081079.2020.1865340</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Covering of minimal solutions to fuzzy relational equations

  • Original language description

    A minimal solution to a fuzzy relational equation is, loosely speaking, a solution such that the values of all its elements cannot be decreased. To find some minimal solution is simple - one can just identify the greatest solution to the equation and then lower the values of all its elements as much as possible. However, finding all minimal solutions is significantly more difficult since when decreasing the values one needs to go through all combinations of the elements. The paper shows that when considering an n-element scale of truth values equipped with Lukasiewicz or Goguen operations, the set of all minimal solutions can be represented by constrained solutions which allows to skip a considerable amount of these combinations.

  • 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

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

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

    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS

  • ISSN

    0308-1079

  • e-ISSN

  • Volume of the periodical

    50

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    22

  • Pages from-to

    117-138

  • UT code for WoS article

    000611634800001

  • EID of the result in the Scopus database

    2-s2.0-85099768820