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基于灰色系统理论的多目标优化的一种策略
引用本文:陈义保,姚建初,钟毅芳. 基于灰色系统理论的多目标优化的一种策略[J]. 机械工程学报, 2003, 39(1): 101-106
作者姓名:陈义保  姚建初  钟毅芳
作者单位:华中科技大学CAD中心,武汉,430074
基金项目:国家自然科学重大项目基金(59990470-2),高等学校博士学科点专项科研基金(20010487024)资助项目。
摘    要:利用灰色系统理论,提出了多目标优化时计算各目标权重的权系数群体评估法。针对多目标优化设计中存在的问题,提出了灰色差异度的方法。以灰色差异度为目标函数,将多目标优化转化为使灰色差异度最小的单目标优化。并以此方法对抽油机进行了多目标优化设计,得到了较优的结果。通过分析比较,说明该方法适用于多目标非光滑、奇异函数的优化设计。

关 键 词:权系数群体评估法  灰色差异度  抽油机  多目标优化设计
修稿时间:2001-08-28

GREY DIFFERENCE BASED MULTI-OBJECTIVE OPTIMIZATION STRATEGY
Chen Yibao Yao Jianchu Zhong Yifang. GREY DIFFERENCE BASED MULTI-OBJECTIVE OPTIMIZATION STRATEGY[J]. Chinese Journal of Mechanical Engineering, 2003, 39(1): 101-106
Authors:Chen Yibao Yao Jianchu Zhong Yifang
Affiliation:Huazhong University of Science and Technology
Abstract:Grey system based experts evaluation method of weighting coefficient is put forward. A new optimization strategy based on grey difference degree is given subsequently, which is used to solve multi-objective optimization design. Using grey difference degree, multi-objective optimization design can be converted to single objective optimization. Take the pumping unit multi-objective optimization design as example, the count steps of the proposed approach is given in details. The successful application in pumping unit multi-objective optimization design shows that the grey difference degree based strategy is effective. It can be used to solve non-smooth and strange functional multi-objective optimization design.
Keywords:Experts evaluation method of weighting coefficient Grey difference degree Pumping unit Multi-objective optimization design
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