• DocumentCode
    3119346
  • Title

    An interval-based approach to fuzzy regression for fuzzy input-output data

  • Author

    Chachi, Jalal ; Taheri, Sayed Mostafa ; Pazhand, H. Rezaei ; Geotechnical, Maharab

  • Author_Institution
    Dept. of Math. Sci., Isfahan Univ. of Technol., Isfahan, Iran
  • fYear
    2011
  • fDate
    27-30 June 2011
  • Firstpage
    2859
  • Lastpage
    2863
  • Abstract
    A novel approach is introduced to construct a fuzzy regression model when the data available of independent and dependent variables are fuzzy numbers. The approach, consisting on the least-squares method, uses the α-level sets of fuzzy observations to estimate the crisp parameters of the model. A competitive study shows the performance and efficiency of the proposed approach with respect to some well-known methods.
  • Keywords
    fuzzy set theory; least squares approximations; regression analysis; α-level sets; fuzzy input-output data; fuzzy numbers; fuzzy observations; fuzzy regression model; interval based approach; least squares method; Data models; Estimation; Level set; Linear regression; Load modeling; Mathematical model; Numerical models; capability index; fuzzy regression; hydrology; interval arithmetic; least squares method;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems (FUZZ), 2011 IEEE International Conference on
  • Conference_Location
    Taipei
  • ISSN
    1098-7584
  • Print_ISBN
    978-1-4244-7315-1
  • Electronic_ISBN
    1098-7584
  • Type

    conf

  • DOI
    10.1109/FUZZY.2011.6007457
  • Filename
    6007457