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Triadic fuzzy Galois connections as ordinary connections

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F12%3A33141666" target="_blank" >RIV/61989592:15310/12:33141666 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1109/FUZZ-IEEE.2012.6251320" target="_blank" >http://dx.doi.org/10.1109/FUZZ-IEEE.2012.6251320</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1109/FUZZ-IEEE.2012.6251320" target="_blank" >10.1109/FUZZ-IEEE.2012.6251320</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Triadic fuzzy Galois connections as ordinary connections

  • Original language description

    The paper presents results on representation of the basic structures related to ternary fuzzy relations by the structures related to ordinary ternary relations, such as Galois connections, closure operators, and trilattices (structures of maximal Cartesian subrelations). These structures appear as the fundamental structures in relational data analysis such as formal concept analysis or association rules. We prove several representation theorems that allow us to automatically transfer some of the known results from the ordinary case to fuzzy case. The transfer is demonstrated by examples.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GAP202%2F10%2F0262" target="_blank" >GAP202/10/0262: Decompositions of matrices with binary and ordinal data: theory, algorithms, and complexity</a><br>

  • Continuities

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

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of the 2012 IEEE International Conference on Fuzzy Systems

  • ISBN

    978-1-4673-1506-7

  • ISSN

    1098-7584

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    1-6

  • Publisher name

    IEEE Computer Society Press

  • Place of publication

    New York

  • Event location

    Brisbane, QLD, Austrálie

  • Event date

    Jun 10, 2012

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article