• DocumentCode
    475963
  • Title

    On algebraic structure for a class of fuzzy numbers

  • Author

    Zhai, Jian-hua ; Han, Jin-fang ; Li, Yan

  • Author_Institution
    Hebei Univ. of Sci. & Technol., Shijiazhuang
  • Volume
    1
  • fYear
    2008
  • fDate
    12-15 July 2008
  • Firstpage
    553
  • Lastpage
    555
  • Abstract
    In this paper, the algebraic structure for a class of point fuzzy numbers are investigated that new algebraic operations about point fuzzy numbers are presented, such that point fuzzy numbers set F(R) are F-Abel group, F-linear space, and F-commutative algebra, respectively. Example is also given to illustrate our results.
  • Keywords
    algebra; fuzzy set theory; number theory; F-Abel group; F-commutative algebra; F-linear space; algebraic structure; fuzzy numbers set; point fuzzy numbers; Algebra; Cybernetics; Distributed computing; Fuzzy sets; Machine learning; Space technology; Algebraic operations; F-Abel group; F-Commutative algebra; F-linear space; Fuzzy number;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics, 2008 International Conference on
  • Conference_Location
    Kunming
  • Print_ISBN
    978-1-4244-2095-7
  • Electronic_ISBN
    978-1-4244-2096-4
  • Type

    conf

  • DOI
    10.1109/ICMLC.2008.4620466
  • Filename
    4620466