• DocumentCode
    3453464
  • Title

    On the solution of system of fuzzy linear equations with real coefficients

  • Author

    Xizhao, Wang ; Minghu, Ha

  • Author_Institution
    Dept. of Math. Hebei Univ., Baading, China
  • fYear
    1992
  • fDate
    8-12 Mar 1992
  • Firstpage
    1017
  • Lastpage
    1024
  • Abstract
    The authors discuss different types of solutions of fuzzy linear equations with real coefficients Aν=u where A is a real matrix and u is a known vector consisting of fuzzy members. They introduce the exact solution, the approximate solution, and the LS-like approximate solution, and they give a sufficient and necessary condition for the existence of the exact and approximate solution of the system. The algorithm for obtaining the LS-like approximate solution which always exists is described. A computation example shows that the method is practicable
  • Keywords
    fuzzy set theory; matrix algebra; LS-like approximate solution; approximate solution; exact solution; fuzzy linear equations; fuzzy members; necessary condition; real coefficients; real matrix; sufficient condition; Differential equations; Extraterrestrial measurements; Finite element methods; Fuzzy sets; Fuzzy systems; Linear regression; Mathematics; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems, 1992., IEEE International Conference on
  • Conference_Location
    San Diego, CA
  • Print_ISBN
    0-7803-0236-2
  • Type

    conf

  • DOI
    10.1109/FUZZY.1992.258794
  • Filename
    258794