• DocumentCode
    227058
  • Title

    Discrete fuzzy transform of higher degree

  • Author

    Holcapek, Michal ; Tichy, Tomas

  • Author_Institution
    Inst. for Res. & Applic. of Fuzzy Modeling, Univ. of Ostrava, Ostrava, Czech Republic
  • fYear
    2014
  • fDate
    6-11 July 2014
  • Firstpage
    604
  • Lastpage
    611
  • Abstract
    In this paper, we reformulate the fuzzy transform of higher degree (Fm-transform) proposed originally for an approximation of continuous functions to the discrete case. We introduce two types of Fm-transform which components are defined using polynomials in the first case and using specific values of these polynomials in the second case. We provide an analysis of basic properties of Fm-transform.
  • Keywords
    function approximation; fuzzy set theory; polynomial approximation; transforms; Fm-transform; continuous function approximation; higher degree discrete fuzzy transform; polynomials; Approximation methods; Frequency modulation; Fuzzy sets; Polynomials; Time series analysis; Transforms; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems (FUZZ-IEEE), 2014 IEEE International Conference on
  • Conference_Location
    Beijing
  • Print_ISBN
    978-1-4799-2073-0
  • Type

    conf

  • DOI
    10.1109/FUZZ-IEEE.2014.6891848
  • Filename
    6891848