| S-d-invexity条件下的多目标规划和凸规划问题 |
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| 引用本文： | 刘艳芳.S-d-invexity条件下的多目标规划和凸规划问题[J].昆明大学学报,2006,17(4):16-18. |
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| 作者姓名： | 刘艳芳 |
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| 作者单位： | 云南大学,数学系,云南,昆明,650091 |
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| 摘 要： | 新定义了一种广义的d-invexity函数,(记为S-d-invex),进而考虑了一类非线性多目标规划问题,且通过引入Pareto最优解,凸集,和凸函数的概念,得到了凸规划问题的最优结果.
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| 关 键 词： | 多目标规划 (弱)Pareto最优解 S-d-invex函数 凸集 凸函数 凸规划 |
| 文章编号： | 1671-2056（2006）04-0016-04 |
| 收稿时间： | 2006-11-05 |
| 修稿时间： | 2006年11月5日 |
Multiobjective Programming under S-d-invexity and E-Convex Programming |
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| LIU Yan-fang.Multiobjective Programming under S-d-invexity and E-Convex Programming[J].Journal of Kunming University,2006,17(4):16-18. |
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| Authors: | LIU Yan-fang |
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| Abstract: | In this paper,a new convexity which is called S-d-invex is defined;moreover,a class of nonlinear multi-objective programming problems is considered.By considering the concepts of Pareto optimal solution,E-convex sets and E-convex functions,the optimality results for E-convex programming problems are established. |
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| Keywords: | multi-objective programming (weak) Pareto optimal solutions S-d-invex function E-convex sets E-convex functions E-convex programming |
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