• DocumentCode
    3539729
  • Title

    Saddle-point type optimality for interval-valued programming

  • Author

    Sun, Yuhua ; Wang, Laisheng

  • Author_Institution
    Coll. of Sci., China Agric. Univ., Beijing, China
  • fYear
    2012
  • fDate
    14-15 Aug. 2012
  • Firstpage
    252
  • Lastpage
    255
  • Abstract
    In this paper, we consider interval-valued programming where the objective function is an interval-valued function. We define the concepts of LU optimal solution to interval-valued programming problem. A real-valued Lagrangian function for interval-valued programming is defined. Further, the saddle point of Lagrangian function is also defined and saddle point optimality conditions are presented under (p,r)-ρ-(η,θ)-invexity assumptions.
  • Keywords
    mathematical programming; LU optimal solution; interval-valued function; interval-valued programming problem; invexity assumption; objective function; real-valued Lagrangian function; saddle point optimality condition; saddle-point type optimality; Educational institutions; Gold; Lagrangian functions; Linear programming; Optimization; Programming; Stochastic processes; Interval-valued Programming; Lagrangian function; Optimality conditions; Saddle point;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Uncertainty Reasoning and Knowledge Engineering (URKE), 2012 2nd International Conference on
  • Conference_Location
    Jalarta
  • Print_ISBN
    978-1-4673-1459-6
  • Type

    conf

  • DOI
    10.1109/URKE.2012.6319558
  • Filename
    6319558