| 带关联的双层多目标决策研究 |
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| 引用本文： | 王刚.带关联的双层多目标决策研究[J].应用数学与计算数学学报,2007,21(2):27-34. |
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| 作者姓名： | 王刚 |
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| 作者单位： | 复旦大学管理学院,上海,200433 |
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| 摘 要： | 本文研究是线性的双层多目标决策.根据线性规划的对偶理论证明了双层多目标决策的可行集的连通性;利用s*-最优均衡解的概念,求得双层多目标规划的偏好满意解;最后,我们得到了满意解的有效性,并在极点得到.
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| 关 键 词： | 双层多目标 s*-最优均衡解 有效解 弱有效解 |
| 修稿时间： | 2006年9月7日 |
Stduy on a Kind of Bilevel Multi-Objective Decision-Making with Relevancy |
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| Wang Gang.Stduy on a Kind of Bilevel Multi-Objective Decision-Making with Relevancy[J].Communication on Applied Mathematics and Computation,2007,21(2):27-34. |
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| Authors: | Wang Gang |
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| Abstract: | This paper focuses on the linear bi-level multi-objective decision-making. According to the dual theory of linear programming,the feasible region of linear bilevel multi-objective programming is proved to be connected.Preferred satisfied solution is obtained,by using the concept of s~*-optimal equilibrium solution.Lastly,we show that preferred satisfied solution is efficient and achievable at one of extreme points. |
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| Keywords: | linear bilevel multi-objective s~*-optimal equilibrium solution efficient solution |
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