• DocumentCode
    477668
  • Title

    A New Definition of Characteristic Function for Random Fuzzy Variable

  • Author

    Liu, Jiyou ; Zhu, Yuanguo

  • Author_Institution
    Dept. of Appl. Math., Nanjing Univ. of Sci. & Technol., Nanjing
  • Volume
    1
  • fYear
    2008
  • fDate
    18-20 Oct. 2008
  • Firstpage
    132
  • Lastpage
    136
  • Abstract
    A new concept of characteristic function for random fuzzy variable is introduced and some properties of characteristic function are obtained. It is proven that characteristic function for random fuzzy variable phi(t1, t2) is differentiable in t1 and t2, respectively, and partial derivatives of phi(t1,t2) are continuous. Furthermore, the Taylor´s expansion of phi(t1,t2) is given and the relation between chancedistribution and characteristic function such as inversion formulais obtained.
  • Keywords
    fuzzy set theory; random processes; Taylor expansion; characteristic function; partial derivatives; random fuzzy variable; Chromium; Control theory; Extraterrestrial measurements; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Intelligent systems; Mathematics; Random variables; Taylor series; characteristic function; random fuzzy variable;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems and Knowledge Discovery, 2008. FSKD '08. Fifth International Conference on
  • Conference_Location
    Shandong
  • Print_ISBN
    978-0-7695-3305-6
  • Type

    conf

  • DOI
    10.1109/FSKD.2008.183
  • Filename
    4665954
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=477668