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| E-凸多目标规划的最优性及Wolfe型对偶 | |
| 引用本文： | 焦合华,刘三阳,刘逵,封全喜.E-凸多目标规划的最优性及Wolfe型对偶[J].系统科学与数学,2012,32(1):62-69. |
| 作者姓名： | 焦合华 刘三阳 刘逵 封全喜 |
| 作者单位： | 1. 西安电子科技大学理学院,西安710071;长江师范学院数学与计算机学院,涪陵408100 2. 西安电子科技大学理学院,西安,710071 3. 西安电子科技大学理学院,西安710071;桂林理工大学理学院,桂林541004 |
| 基金项目： | 国家自然科学基金，重庆市教委科学研究项目 |
| 摘 要： | 先引入了一类带不等式和等式约束的E-凸多目标优化问题(MP),给出了该类问题的一个最优性充分条件;其次,建立了该类规划问题(MP)的一类Wolfe型对偶模型(WD),并在E-凸条件下,获得了弱对偶定理,强对偶定理和逆对偶定理. |
| 关 键 词： | E-凸函数 多目标规划 最优性条件 Wolfe型对偶 |
OPTIMALITY AND WOLFE TYPE DUALITY ON MULTI-OBJECTIVE PROGRAMMING UNDER E-CONVEXITY |
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| JIAO Hehua , LIU Sanyang , LIU Kui , FENG Quanxi.OPTIMALITY AND WOLFE TYPE DUALITY ON MULTI-OBJECTIVE PROGRAMMING UNDER E-CONVEXITY[J].Journal of Systems Science and Mathematical Sciences,2012,32(1):62-69. | |
| Authors: | JIAO Hehua LIU Sanyang LIU Kui FENG Quanxi |
| Institution: | (College of Science,Xidian University,Xi’an 710071;College of Science,Guilin University of Technology,Guilin 541004) |
| Abstract: | This paper considers a class of E-convex multi-objective optimization problems (MP)with equality constraints and inequality constraints,and a sufficient optimality condition is given.Then,a class of Wolfe type dual model(WD)of the class of programming problem (MP)is established,and under the assumption of the E-convex conditions,theorems of weak duality,strong duality and converse duality are obtained. |
| Keywords: | E-convex function multi-objective programming optimality condition Wolfe type duality |
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