| 具有模糊系数约束的多目标线性规划 |
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| 引用本文： | 宋业新,胡伟文,张建军.具有模糊系数约束的多目标线性规划[J].海军工程大学学报,2004,16(1):40-44. |
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| 作者姓名： | 宋业新 胡伟文 张建军 |
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| 作者单位： | 海军工程大学,电气工程系,湖北武汉,430033 |
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| 摘 要： | 研究了一类具有模糊系数约束的多目标线性规划问题.根据各目标函数的梯度方向来量化目标之间的冲突程度,以此提出了一种确定目标权重的新方法,然后基于惩罚函数运用梯度上升算法求问题的有效解.最后给出了一个数值例子.
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| 关 键 词： | 多目标线性规划 模糊系数 惩罚函数 梯度上升算法 |
| 文章编号： | 1009-3486(2004)01-0040-05 |
| 修稿时间： | 2003年6月18日 |
Multi-objective linear programming with fuzzy coefficient constraints |
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| SONG Ye-xin,HU Wei-wen,ZHANG Jian-jun.Multi-objective linear programming with fuzzy coefficient constraints[J].Journal of Naval University of Engineering,2004,16(1):40-44. |
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| Authors: | SONG Ye-xin HU Wei-wen ZHANG Jian-jun |
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| Abstract: | The multi-objective linear programming problems with fuzzy coefficient constraints are studied. According to the degree of conflict among objectives, which is measured by the angle between the gradients of objectives, a new method for determining the weight of objectives is presented. Based on the penalty function, a gradient ascent algorithm is developed to find the efficient solution. Finally, an illustrative numerical example is given. |
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| Keywords: | multi-objective linear programming fuzzy coefficients penalty function gradient ascent algorithm |
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