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Transformation of Variance to Possibilistic Variance and Vice Versa

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15210%2F18%3A73582230" target="_blank" >RIV/61989592:15210/18:73582230 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-319-66824-6_40" target="_blank" >http://dx.doi.org/10.1007/978-3-319-66824-6_40</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-319-66824-6_40" target="_blank" >10.1007/978-3-319-66824-6_40</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Transformation of Variance to Possibilistic Variance and Vice Versa

  • Original language description

    We introduce a new transformation of the variance function to possibilistic variance and vice versa. We show that the transformation of the center-of-gravity-based formulation of variance gives exactly the possibilistic variance introduced by Carlsson and Fullér and that the corresponding inverse transformation gives the original variance formula from the possibilistic variance. We also provide fast-computation formulas for both variances for triangular and trapezoidal fuzzy numbers.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

    Proceedings of: EUSFLAT- 2017 – The 10th Conference of the European Society for Fuzzy Logic and Technology, September 11-15, 2017, Warsaw, Poland IWIFSGN’2017 – The Sixteenth International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets, September 13-15, 2017, Warsaw, Poland, Volume 2

  • ISBN

    978-3-319-66824-6

  • ISSN

  • e-ISSN

    2194-5365

  • Number of pages

    12

  • Pages from-to

    456-467

  • Publisher name

    Springer

  • Place of publication

    Cham

  • Event location

    Warsaw, Poland

  • Event date

    Sep 11, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000432807900040