• DocumentCode
    3698257
  • Title

    Discrete multivariate F-transform of higher degree

  • Author

    Michal Holčpek;Tomaš Tichý

  • Author_Institution
    University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, NSC IT4Innovations, 30. dubna 22, 701 03 1, Czech Republic
  • fYear
    2015
  • Firstpage
    1
  • Lastpage
    8
  • Abstract
    In this paper, we reformulate the multivariate fuzzy transform (Fm-transform) of higher degree proposed originally for an approximation of continuous functions to the discrete case. We introduce the Fm-transform components as multivariate polynomials using the matrix algebra, the inverse Fm-transform is established to obtain a continuous function. We provide an analysis of basic properties of Fm-transform.
  • Keywords
    "Transforms","Polynomials","Approximation methods","Electronic mail","Image processing","Hilbert space","Bandwidth"
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems (FUZZ-IEEE), 2015 IEEE International Conference on
  • Type

    conf

  • DOI
    10.1109/FUZZ-IEEE.2015.7338092
  • Filename
    7338092
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3698257