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Journal of Software:2011.22(10):2291-2304

一种改进ε支配的等度规映射方法
杨咚咚,马晶晶,焦李成,公茂果,司晓云
(西安电子科技大学 智能信息处理研究所 智能感知与图像理解教育部重点实验室,陕西 西安 710071)
Improved ε Dominance by Isomap
YANG Dong-Dong,MA Jing-Jing,JIAO Li-Cheng,GONG Mao-Guo,SI Xiao-Yun
(Key Laboratory of Intelligent Perception and Image Understanding, Ministry of Education, Institute of Intelligent Information Processing, Xidian University, Xi’an 710071, China)
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Received:December 26, 2009    Revised:July 06, 2010
> 中文摘要: 新型支配机制的研究是进化多目标优化领域中的热点和难点之一,其中,ε支配最具代表性.但是,它的缺点在于对于不同几何形状的Pareto 前沿十分敏感.提出了一种改进ε支配机制的等度规映射方法,采用等度规映射把解映射到低维流形空间,发现隐藏于非支配解的几何分布,在低维流形空间进行ε支配的剪枝操作.与传统的ε支配相比,该机制不会丢失部分有效解,能够较好地保持解分布的均匀性.另外,为了克服传统ε支配丢失部分极端解的不足,设计了极端解校验算子.与NSGAII,SPEA2,NNIA 和εMOEA 相比,所提出的ε支配和极端解校验算子能够较好地保持解分布的均匀性和宽广性,改进了传统的ε支配.
Abstract:The study of new types of dominance mechanisms is a key point in current evolutionary multiobjective optimization community and ε dominance is a representative among them. However, their ability in diversity maintaining is sensitive to different shapes of Pareto fronts. This paper proposes an improved ε dominance mechanism by Isomap, which employs Isomap to embed the original population to low dimensional manifold space. The intrinsic geometric structure of them is discovered and ε dominance is adopted to select data in the embedding space. Compared with traditional ε dominance, the mechanism does not lose valid solutions and can maintain a set of uniform-distributed solutions. In addition, the extreme solution-check operator is proposed to enhance the ability of holding extreme solutions of ε dominance. The detailed experimental comparison with NSGAII, SPEA2, NNIA and εMOEA shows that the two strategies in this study are beneficial to uniformity and spread maintenance, which are in the enhanced version of traditional ε dominance.
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基金项目:国家自然科学基金(60703107, 61001202); 国家高技术研究发展计划(863)(2009AA12Z210); 中国博士后科学基金 (20090451369); 新世纪优秀人才支持计划(NCET-08-0811); 中央高校基本科研业务费专项资金(JY10000902039); 北京市自然科学 基金(7092020); 陕西省自然科学基础研究计划(2009JQ8015); 陕西省“13115”科技创新工程重大科技专项(2008ZDKG-37) 国家自然科学基金(60703107, 61001202); 国家高技术研究发展计划(863)(2009AA12Z210); 中国博士后科学基金 (20090451369); 新世纪优秀人才支持计划(NCET-08-0811); 中央高校基本科研业务费专项资金(JY10000902039); 北京市自然科学 基金(7092020); 陕西省自然科学基础研究计划(2009JQ8015); 陕西省“13115”科技创新工程重大科技专项(2008ZDKG-37)
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杨咚咚,马晶晶,焦李成,公茂果,司晓云.一种改进ε支配的等度规映射方法.软件学报,2011,22(10):2291-2304

YANG Dong-Dong,MA Jing-Jing,JIAO Li-Cheng,GONG Mao-Guo,SI Xiao-Yun.Improved ε Dominance by Isomap.Journal of Software,2011,22(10):2291-2304