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On Cantor's Theorem for Fuzzy Power Sets

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F18%3AA1901V00" target="_blank" >RIV/61988987:17610/18:A1901V00 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-319-91479-4" target="_blank" >http://dx.doi.org/10.1007/978-3-319-91479-4</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-319-91479-4" target="_blank" >10.1007/978-3-319-91479-4</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Cantor's Theorem for Fuzzy Power Sets

  • Original language description

    The aim of the paper is to introduce the concept of fuzzy power set in a universe of sets and investigate its basic properties. We focus here on an analysis of Cantor's theorem for fuzzy sets, which states in the set theory that the cardinality of a set is strictly smaller then the cardinality of its power set. For our investigation of Cantor's theorem we chose two types of equipollency of fuzzy sets, particularly, the binary Cantor's equipollence and its graded version.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

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

    2018

  • 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. Applications

  • ISBN

    978-3-319-91478-7

  • ISSN

  • e-ISSN

  • Number of pages

    12

  • Pages from-to

    703-714

  • Publisher name

    Springer International Publishing

  • Place of publication

    Cham

  • Event location

    Cadíz, Španělsko

  • Event date

    Jun 11, 2018

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article