• DocumentCode
    566946
  • Title

    The key theorem of statistical learning theory based on rough fuzzy number

  • Author

    Bai, Yun-Chao ; Jing, Zhao

  • Author_Institution
    Coll. of Econ., Hebei Univ., Baoding, China
  • Volume
    1
  • fYear
    2012
  • fDate
    25-27 May 2012
  • Firstpage
    527
  • Lastpage
    530
  • Abstract
    In this paper, we give some new concepts of rough fuzzy expected risk functional, rough fuzzy empirical risk functional and rough fuzzy empirical risk minimization principal based on rough fuzzy number. At last, we give and prove the key theorem based on rough fuzzy number, which plays an important role in the statistical learning theory.
  • Keywords
    fuzzy set theory; minimisation; rough set theory; statistical analysis; rough fuzzy empirical risk functional; rough fuzzy empirical risk minimization principal; rough fuzzy expected risk functional; rough fuzzy number; statistical learning theory; Convergence; Educational institutions; Measurement; Radio frequency; Risk management; Statistical learning; key theorem; rough fuzzy empirical risk minimization principal; rough fuzzy number;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Science and Automation Engineering (CSAE), 2012 IEEE International Conference on
  • Conference_Location
    Zhangjiajie
  • Print_ISBN
    978-1-4673-0088-9
  • Type

    conf

  • DOI
    10.1109/CSAE.2012.6272652
  • Filename
    6272652