• DocumentCode
    756828
  • Title

    Approximation properties of fuzzy systems generated by the min inference

  • Author

    Zeng, Xiao-Jun ; Singh, Madan G.

  • Author_Institution
    Dept. of Comput., Univ. of Manchester Inst. of Sci. & Technol., UK
  • Volume
    26
  • Issue
    1
  • fYear
    1996
  • fDate
    2/1/1996 12:00:00 AM
  • Firstpage
    187
  • Lastpage
    193
  • Abstract
    This paper discusses the approximation properties of fuzzy systems generated by the min inference. Firstly, the paper analyzes the properties of fuzzy basis functions (FBFs); Then based on the properties of FBPs, several basic approximation properties concerning approximation mechanisms, uniform approximation bounds, uniform convergency, and universal approximation are obtained. Further, the similarity and difference between the fuzzy systems generated by the product inference and by the min inference are discussed
  • Keywords
    fuzzy systems; inference mechanisms; approximation mechanisms; approximation properties; fuzzy basis functions; fuzzy systems; min inference; product inference; uniform approximation bounds; uniform convergency; universal approximation; Bayesian methods; Fuzzy systems; Image restoration; Image segmentation; Lattices; Mechanical factors; Noise generators; Notice of Violation; Parameter estimation; Statistical analysis;
  • fLanguage
    English
  • Journal_Title
    Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1083-4419
  • Type

    jour

  • DOI
    10.1109/3477.484453
  • Filename
    484453