| 基于灰色关联度的多目标规划解法 |
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| 引用本文： | 孟祥飞,王瑛.基于灰色关联度的多目标规划解法[J].数学的实践与认识,2014(8). |
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| 作者姓名： | 孟祥飞 王瑛 |
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| 作者单位： | 空军工程大学装备管理与安全工程学院; |
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| 基金项目： | 国家自然科学基金“基于结构本质安全的复杂系统组元作用机理研究”(71171199) |
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| 摘 要： | 分析了几种多目标规划解法的不足之处,在考虑多个目标之间的关联性的基础上,提出了一种新的求解多目标规划的方法.引入了灰色速率关联度来刻画目标函数之间的关联程度,定义了多目标转化为单目标的规则,利用此规则生成了新的目标函数,重新构建了约束条件.使用3种方法对同一多目标规划进行了求解,通过结果分析说明了基于灰色关联度的多目标规划解法的优越性.
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| 关 键 词： | 灰色关联度 多目标规划 STEM 妥协约束法 |
A New Method for Multi-Optimization Problems Based on Degree of Grey Incidence |
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| Abstract: | Some shortages of several methods for multi-optimization problems are analyzed.A new method is proposed for multi-optimization problems.The relative degree of grey incidence is led into so as to describe the degree of incidence among objective functions.The rule,transforming from multi-optimization problems to simple-optimization problems,is defined.A new objective function and constraint requirements are reconstructed.A multioptimization problem is solved by three methods.The new method's advantages are proved via analyzing the results. |
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| Keywords: | degree of grey incidence multi-optimization STEM compromise constraint algorithm |
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