非凸不可微多目标规划问题的混合对偶性

陈世国; 黄健

陈世国, 黄健. 非凸不可微多目标规划问题的混合对偶性[J]. 信阳师范学院学报(自然科学版), 2008, 21(1): 15-16.

引用本文:

陈世国, 黄健. 非凸不可微多目标规划问题的混合对偶性[J]. 信阳师范学院学报(自然科学版), 2008, 21(1): 15-16.

CHEN Shi-guo, HUANG Jian. Mixed Type Duality for Multiobjective Programming Problems[J]. Journal of Xinyang Normal University (Natural Science Edition), 2008, 21(1): 15-16.

Citation:

CHEN Shi-guo, HUANG Jian. Mixed Type Duality for Multiobjective Programming Problems[J]. Journal of Xinyang Normal University (Natural Science Edition), 2008, 21(1): 15-16.

非凸不可微多目标规划问题的混合对偶性

陈世国,
黄健

Mixed Type Duality for Multiobjective Programming Problems

摘要

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.

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