• DocumentCode
    498226
  • Title

    A Unified Iterative Scheme for Solving Fully Fuzzy Linear System

  • Author

    Gao, Jing ; Zhang, Qiang

  • Author_Institution
    Sch. of Manage. & Econ., Beijing Inst. of Technol., Beijing, China
  • Volume
    1
  • fYear
    2009
  • fDate
    19-21 May 2009
  • Firstpage
    431
  • Lastpage
    435
  • Abstract
    In this paper, a unified iterative scheme to solve general fully fuzzy linear system (FFLS) Atildextilde = btilde in which all parameters are LR fuzzy numbers is discussed. By this iterative scheme, we present Gradient iterative algorithm and Least-squares iterative algorithm for solving non-square FFLS. Also, we test the iterative algorithm and show its effectiveness using a numerical example.
  • Keywords
    fuzzy set theory; gradient methods; least squares approximations; linear systems; LR fuzzy numbers; fully fuzzy linear system; gradient iterative algorithm; least-squares iterative algorithm; nonsquare FFLS; unified iterative scheme; Fuzzy sets; Fuzzy systems; Gaussian processes; Intelligent systems; Iterative algorithms; Iterative methods; Jacobian matrices; Linear systems; Mathematics; Technology management; Fully fuzzy linear system (FFLS); Gradient iterative algorithm; Least-squares iterative algorithm;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Systems, 2009. GCIS '09. WRI Global Congress on
  • Conference_Location
    Xiamen
  • Print_ISBN
    978-0-7695-3571-5
  • Type

    conf

  • DOI
    10.1109/GCIS.2009.114
  • Filename
    5209006