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非凸不可微多目标规划的最优性与对偶性
引用本文:陈世国,甘应爱.非凸不可微多目标规划的最优性与对偶性[J].华中科技大学学报(自然科学版),1994(12).
作者姓名:陈世国  甘应爱
作者单位:济南陆军学院
摘    要:把p-不变凸概念引入到不可微多目标规划的研究,得到了多目标规划的弱有效解的几个充分条件,建立了Wolfe型对偶理论,从而推广了有关对偶理论的结果。

关 键 词:不可微多目标规划  最优性  对偶性

Optimality and Duality in Non-convex Nondifferentiable Multiobjective Programming
Chen ShiguoMathematical Section,Jinan Academy of Military Officers,Jinan ,China.,Gan Yingai.Optimality and Duality in Non-convex Nondifferentiable Multiobjective Programming[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1994(12).
Authors:Chen ShiguoMathematical Section  Jinan Academy of Military Officers  Jinan  China  Gan Yingai
Institution:Chen ShiguoMathematical Section,Jinan Academy of Military Officers,Jinan 250029,China.),Gan Yingai
Abstract:With the introduction of the concept of p-invex into the non-convex nondifferentiablemultiobjective programming,several sufficient conditions for the weak pareto solution areobtained.The corresponding duality theory of the Wolfe type has been devoloped and the re-sults of the relevant duality theory are extended.
Keywords:nondifferentiable multliobjective programming  optimality  duality  
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