• DocumentCode
    3410696
  • Title

    The non-essential grey number and grey function and their computation

  • Author

    Fang, Peng ; Guoping, Wu ; Fangrong, Peng

  • Author_Institution
    Dept. of Math. & Phys., China Univ. of Geosci., Wuhan, China
  • fYear
    2009
  • fDate
    10-12 Nov. 2009
  • Firstpage
    306
  • Lastpage
    310
  • Abstract
    We have discussed the non-essential grey number and grey function in this article. We define some concepts about grey number, such as the whitenization error, absolute degree of greyness and relative degree of greyness of the whitenization value and so on. Using Taylor formula of differential calculus, we analyze the operational problem of degree of greyness. Thus, we obtain a formula for calculating the degree of greyness of the whitenization value of grey function. In this study, we also define the expression of non- essential grey number and grey function. Based on the above calculating formula of the degree of greyness and the expression of a non- essential grey number, we finally build a complete system of the algorithm of non-essential grey number.
  • Keywords
    differentiation; grey systems; Taylor formula; absolute greyness degree; differential calculus; grey function; nonessential grey number; relative greyness degree; whitenization error; Calculus; Geology; Intelligent systems; Mathematics; Numerical analysis; Physics; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Grey Systems and Intelligent Services, 2009. GSIS 2009. IEEE International Conference on
  • Conference_Location
    Nanjing
  • Print_ISBN
    978-1-4244-4914-9
  • Electronic_ISBN
    978-1-4244-4916-3
  • Type

    conf

  • DOI
    10.1109/GSIS.2009.5408303
  • Filename
    5408303