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Correlation coefficients for picture fuzzy sets

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33151823" target="_blank" >RIV/61989592:15310/15:33151823 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.3233/IFS-141338" target="_blank" >http://dx.doi.org/10.3233/IFS-141338</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3233/IFS-141338" target="_blank" >10.3233/IFS-141338</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Correlation coefficients for picture fuzzy sets

  • Original language description

    Picture fuzzy sets are extension of Atanassov's intuitionistic fuzzy sets. Picture fuzzy set based models may be adequate in situations when we face human opinions involving more answers of types: yes, abstain, no, refusal. It can be considered as a powerful tool represent an uncertain information in the process of cluster analysis. In this paper, we present a geometrical interpretation of picture fuzzy sets. We propose correlation coefficients for picture fuzzy sets which considers the degree of positive membership, degree of neutral membership, degree of negative membership and the degree of refusal membership. Effectiveness of the proposed correlation coefficient has been established in a bidirectional approximate reasoning systems. We apply the correlation coefficient to clustering analysis under picture fuzzy environments. Advantages of proposed correlation coefficients and drawbacks of existing correlation coefficients have been discussed.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/EE2.3.30.0004" target="_blank" >EE2.3.30.0004: POST-UP</a><br>

  • Continuities

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

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Intelligent and Fuzzy Systems

  • ISSN

    1064-1246

  • e-ISSN

  • Volume of the periodical

    28

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    14

  • Pages from-to

    591-604

  • UT code for WoS article

    000348366900010

  • EID of the result in the Scopus database