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| 半B-(E,F)-凸约束多目标规划的对偶性 | |
| 引用本文： | 马晓娜. 半B-(E,F)-凸约束多目标规划的对偶性[J]. 宿州学院学报, 2012, 27(5): 4-5,18 |
| 作者姓名： | 马晓娜 |
| 作者单位： | 宿州学院数学与统计学院,安徽宿州,234000 |
| 基金项目： | 安徽省优秀青年人才基金 |
| 摘 要： | 基于B-凸性和半B-(E,F)-凸性,提出了一类新的广义凸性:半B-(E,F)-凸性,给出了半B-(E,F)-凸函数的概念,研究了它的基本性质,并在半(E,F)-凸函数多目标规划的直接对偶定理和逆对偶定理的基础上讨论了半B-(E,F)-凸函数多目标规的直接对偶定理和逆对偶定理,所得到的结果是半(E,F)-凸函数多目标规的直接对偶定理和逆对偶定理的改进与推广。 |
| 关 键 词： | 半B-(E,F)-凸函数 多目标规划 有效解 对偶性 |
Duality Theorems of Multi-objective Programming for Semiconvex functions |
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| MA Xiao-na. Duality Theorems of Multi-objective Programming for Semiconvex functions[J]. Journal of Shuzhou College, 2012, 27(5): 4-5,18 | |
| Authors: | MA Xiao-na |
| Affiliation: | MA Xiao-na School of Mathematics and Statistics,Suzhou University,Anhui Suzhou,234000,China |
| Abstract: | Based on two classes of generalized convex functions,that is,B-convex function and semi B-(E,F)-convex function,semi B-(E,F)-convexity,a new class of generalized convexity,is introduced,including its concept and basic properties.The direct duality theorem and the inverse duality theorem of multi B-(E,F)-objective programming for semiconvex function are presented based on the direct duality theorem and the inverse duality theorem of multi B-(E,F)-objective programming for semiconvex function.The research can help to improve and extend the direct duality theorem and the inverse duality theorem of multi B-(E,F)-objective programming for semiconvex function. |
| Keywords: | semiconvex function multi B-(E,F)-objective programming efficient solutions duality |
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