• DocumentCode
    2564826
  • Title

    Solving fuzzy linear programming problems with Interval Type-2 RHS

  • Author

    García, Juan Carlos Figueroa

  • Author_Institution
    Lab. for Autom., Microelectron. & Comput. Intell. (LAMIC), Univ. Distrital Francisco Jose de Caldas, Bogota, Colombia
  • fYear
    2009
  • fDate
    11-14 Oct. 2009
  • Firstpage
    262
  • Lastpage
    267
  • Abstract
    This paper presents two general methods to handle uncertainties in the right hand side parameters of a linear programming (LP) model by means of interval type-2 fuzzy sets (IT2 FS). In this paper, a LP problem with uncertain right side parameters treated as interval type-2 fuzzy sets is solved by two optimization strategies: The first one is a type-reduction method and the second one is a pre-defuzzified ¿ - cut approach. After the IT2 FS inference process, a real-valued solution must be found. In this way two methods based on classical optimization routines are presented to obtain optimal solutions when uncertain right hand side parameters exist.
  • Keywords
    fuzzy set theory; linear programming; fuzzy linear programming; interval type-2 RHS; interval type-2 fuzzy sets; optimization strategy; predefuzzified ¿-cut approach; right hand side parameter; type-reduction; Cybernetics; Equations; Fuzzy sets; Linear matrix inequalities; Linear programming; Optimization methods; Optimized production technology; USA Councils; Uncertainty; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Systems, Man and Cybernetics, 2009. SMC 2009. IEEE International Conference on
  • Conference_Location
    San Antonio, TX
  • ISSN
    1062-922X
  • Print_ISBN
    978-1-4244-2793-2
  • Electronic_ISBN
    1062-922X
  • Type

    conf

  • DOI
    10.1109/ICSMC.2009.5345943
  • Filename
    5345943