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Graded Dominance and Cantor-Bernstein Equipollence of Fuzzy Sets

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F16%3AA1701H9X" target="_blank" >RIV/61988987:17610/16:A1701H9X - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Graded Dominance and Cantor-Bernstein Equipollence of Fuzzy Sets

  • Original language description

    The aim of the paper is to propose a graded dominance for fuzzy sets that assigns to each pair of fuzzy sets a degree in which one fuzzy set has less cardinality than another one or the cardinalities of both fuzzy sets are approximately equal. The graded dominance for fuzzy sets is a natural generalization of the dominance relation for sets. The graded dominance is then used for the introduction of a fuzzy class equivalence that satisfies a graded version of the Cantor-Bernstein theorem.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

  • Continuities

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

Others

  • Publication year

    2016

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Information Processing and Management of Uncertainty in Knowledge-Based Systems: 16th International Conference, IPMU 2016, Eindhoven, The Netherlands, June 20 - 24, 2016, Proceedings, Part II

  • ISBN

    978-3-319-40580-3

  • ISSN

  • e-ISSN

  • Number of pages

    12

  • Pages from-to

    510-521

  • Publisher name

    Springer International Publishing

  • Place of publication

    Švýcarsko

  • Event location

    Eindhoven, Nizozemí

  • Event date

    Jun 20, 2016

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article