• DocumentCode
    559854
  • Title

    Fuzzy Minimal Solution of Fuzzy Linear Matrix Equations

  • Author

    Guo, Xiao-bin

  • Author_Institution
    Coll. of Math. & Inf. Sci., Northwest Normal Univ., Lanzhou, China
  • Volume
    1
  • fYear
    2011
  • fDate
    24-25 Sept. 2011
  • Firstpage
    99
  • Lastpage
    102
  • Abstract
    In paper the fuzzy matrix equation AX̃B=C̃ is investigated. The fuzzy matrix equation is converted to a fuzzy linear system. Then the fuzzy linear system is extended into a crisp system of linear equations. The fuzzy minimal solution of the original fuzzy systems is obtained by solving the crisp function linear equations. Finally, an example is given to illustrate the proposed method.
  • Keywords
    fuzzy set theory; fuzzy systems; linear matrix inequalities; linear systems; crisp function linear equation; fuzzy linear matrix equation; fuzzy linear system; fuzzy minimal solution; Equations; Fuzzy systems; Linear systems; Mathematical model; Matrix converters; Vectors; fuzzy matrix equations; fuzzy minimal solution; fuzzy numbers; matrix analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Technology, Computer Engineering and Management Sciences (ICM), 2011 International Conference on
  • Conference_Location
    Nanjing, Jiangsu
  • Print_ISBN
    978-1-4577-1419-1
  • Type

    conf

  • DOI
    10.1109/ICM.2011.110
  • Filename
    6113365