| 关于有效点与真有效点的几个定理 |
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| 引用本文： | 余抒怀.关于有效点与真有效点的几个定理[J].系统科学与数学,1996,16(1):081-085. |
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| 作者姓名： | 余抒怀 |
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| 作者单位： | 江西财经学院信息系 |
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| 摘 要： | 本文推广了Ｂｅｎｓｏｎ真有效点的定义，给出了凸锥相对内部的一个刻划，并在无尖性假设情况下，利用凸锥相对内部的刻划，证明了Ｈａｒｔｌｅｙ真有效点与改进的Ｂｅｎｓｏｎ真有效点是等价的；同时给出了一些有效点与真有效点标量化的一些结果．
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| 关 键 词： | 多目标规划，Pareto有效性，真有效性，偏爱序 |
SEVERAL THEOREMS OF EFFICIENT POINTS AND PROPER EFFICIENT POINTS |
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| YU SHU HUAI.SEVERAL THEOREMS OF EFFICIENT POINTS AND PROPER EFFICIENT POINTS[J].Journal of Systems Science and Mathematical Sciences,1996,16(1):081-085. |
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| Authors: | YU SHU HUAI |
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| Institution: | Department of Information Sciences, Jiangxi Institute of Finance and Economics, Nanchang 330013 |
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| Abstract: | In this papers the definition of Benson-proper efficient points is generalized. A characterization of the relative interior of a convex cone is given. Without the pointedness assumption, the equivalence between Hartley-proper efficient points and the generalized Bensonproper efficient points is proved by the characterization of relative interiors of convex cones. Several results of scalarization of efficient points and proper efficient points are derived. |
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| Keywords: | Multiobjective programming pareto optimality proper efficiency preference order |
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