• DocumentCode
    2741071
  • Title

    The Properties of the Zadeh Extension of Real Valued Exponential Function

  • Author

    Guixiang, Wang ; Youming, Li

  • Author_Institution
    Sch. of Sci., Hangzhou Dianzi Univ.
  • fYear
    2006
  • fDate
    7-9 June 2006
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    In this paper, we discuss the properties of the fuzzy number function which is the Zadeh extension of usual real-valued exponential function on fuzzy number space. The continuity, monotonicity, convexity (or concavity), G-differentiability and the integral over directed line segment of the fuzzy number function are characterized with the corresponding analytical properties of the usual real-valued exponential function
  • Keywords
    fuzzy set theory; G-differentiability; Zadeh extension; fuzzy number function; fuzzy number mapping; fuzzy number space; integral; real valued exponential function; Computational Intelligence Society; Fuzzy sets; Mathematics; G-derivative; fuzzy number mappings; fuzzy numbers; integral;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Cybernetics and Intelligent Systems, 2006 IEEE Conference on
  • Conference_Location
    Bangkok
  • Print_ISBN
    1-4244-0023-6
  • Type

    conf

  • DOI
    10.1109/ICCIS.2006.252241
  • Filename
    4017800