| 强半G-预不变凸性与多目标规划问题的对偶 |
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| 引用本文： | 张德辉,彭再云,龙宪军. 强半G-预不变凸性与多目标规划问题的对偶[J]. 北华大学学报(自然科学版), 2012, 13(5): 517-523 |
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| 作者姓名： | 张德辉 彭再云 龙宪军 |
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| 作者单位： | 重庆交通大学理学院,重庆,400074;重庆工商大学数学与统计学院,重庆,400067 |
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| 基金项目： | 国家自然科学基金项目(11271389);重庆市自然科学基金项目(CSTC 2011AC6104,2012jjA00016);重庆市教委资助项目(KJ120401) |
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| 摘 要： | 定义了强半G-预不变凸函数类,说明了此广义凸函数类的存在性,讨论了强半G-预不变凸函数的基本性质及其在多目标规划问题对偶中的应用.
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| 关 键 词： | 半不变凸集 强半G-预不变凸函数 多目标规划 对偶 |
Strongly Semi-G-preinvexity and Duality for Multi-objective Programming |
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| ZHANG De-hui,PENG Zai-yun,LONG Xian-jun. Strongly Semi-G-preinvexity and Duality for Multi-objective Programming[J]. Journal of Beihua University(Natural Science), 2012, 13(5): 517-523 |
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| Authors: | ZHANG De-hui PENG Zai-yun LONG Xian-jun |
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| Affiliation: | 1.College of Science,Chongqing Jiaotong University,Chongqing 400074,China; 2.College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China) |
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| Abstract: | Strongly semi-G-preinvex function is presented.Some examples are given to illustrate the existence of this generalized convex functions,and some properties of strongly semi-G-preinvexity and application of duality for multi-objective programming problems are discussed. |
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| Keywords: | semi-invex set strongly semi-G-preinvex functions multi-objective programming duality |
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