| 求解多层线性规划的模糊规划法 |
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| 引用本文： | 宋伟,赵茂先,王向荣.求解多层线性规划的模糊规划法[J].运筹学学报,2011,15(4):85-92. |
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| 作者姓名： | 宋伟 赵茂先 王向荣 |
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| 作者单位： | 1. 山东省汶上县郭楼镇卫生院
2. 山东科技大学 信息科学与工程学院
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| 基金项目： | 国家自然科学基金(70971079); 山东省自然科学基金(Y2008A01) |
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| 摘 要： | 本文用模糊集理论中的隶属函数描述多层线性规划的各层目标，在第一层给定最小满意水平下，通过求解相应层次的模糊规划来确定各层的最小满意度，从而最终得到问题的一个满意解。提出的方法只需求解一系列线性规划问题，具有较好的计算复杂性和可行性，最后的算例进一步验证了方法的有效性。
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| 关 键 词： | 多层线性规划 模糊规划 隶属函数 满意解 |
| 收稿时间： | 2010-12-15 |
| 修稿时间： | 2011-05-26 |
Fuzzy Programming Approach for Multilevel Linear Programming |
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| SONG Wei ZHAO Maoxian WANG Xiangrong College of Information Science , Engineering,Sh,ong University , Technology,Qingdao ,China.Fuzzy Programming Approach for Multilevel Linear Programming[J].OR Transactions,2011,15(4):85-92. |
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| Authors: | SONG Wei ZHAO Maoxian WANG Xiangrong College of Information Science Engineering Sh ong University Technology Qingdao China |
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| Institution: | SONG Wei ZHAO Maoxian WANG Xiangrong College of Information Science and Engineering,Shandong University and Technology,Qingdao 266510,China |
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| Abstract: | In this study,we use the concepts of membership function and multiple objective optimization to develop a fuzzy programming approach for solving the multilevel linear prograjnming problems.The higher level decision maker defines his or her objective which is described by linear membership functions of fuzzy set theory.This information then constrains the lower level decision maker's feasible space.After the first decision maker gives a minimum satisfaction level,the fuzzy programming approach will give the ... |
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| Keywords: | Multilevel linear programming fuzzy programming membership functions satisfactory solution |
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