• DocumentCode
    3402676
  • Title

    Exact solving of the fuzzy equation: A.X2 + B.X = C

  • Author

    Boukezzoula, Reda ; Marteau, Stephane

  • Author_Institution
    LISTIC, Univ. of Savoie, Annecy
  • fYear
    2005
  • fDate
    25-25 May 2005
  • Firstpage
    1110
  • Lastpage
    1115
  • Abstract
    The objective of this paper is to revisit the solving of the second order fuzzy interval equation A.X2 + B.X = C according to the alpha-cut representation. The proposed general solution is expressed in an analytical compact form which is directly used for deriving the condition of the solution existence. The validity of the proposed method is illustrated by a simulation example
  • Keywords
    fuzzy set theory; number theory; alpha-cut representation; interval number; real numbers; second order fuzzy interval equation; solution existence; Arithmetic; Computational complexity; Computer applications; Equations; Fuzzy set theory; Fuzzy systems; Kernel; Nonlinear systems; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems, 2005. FUZZ '05. The 14th IEEE International Conference on
  • Conference_Location
    Reno, NV
  • Print_ISBN
    0-7803-9159-4
  • Type

    conf

  • DOI
    10.1109/FUZZY.2005.1452550
  • Filename
    1452550