非凸不可微多目标规划问题的混合对偶性
Mixed Type Duality for Multiobjective Programming Problems
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摘要: 给出了一类不可微多目标规划问题的混合对偶模型,使得Wolfe型对偶和Mond-Weir型对偶是其特殊情况,并在函数广义F,ρ-凸性的条件下建立了多目标规划问题关于有效解的混合对偶理论.Abstract: A mixed type dual for a class of multiobjective programming problems is first formulated which Wolfe and Mond-Weir type duals are special cases.Under the generalized(F,ρ)-convexity on the functions involved,the weak,strong and strict converse duality theories were established by using the concept of efficiency.