Analyses of inverted generational distance for many-objective optimisation algorithms

	Analyses of inverted generational distance for many-objective optimisation algorithms
	Cai, Xingjuan 1; Zhang, Maoqing 2; Wang, Hui 3; Xu, Meng 4; Chen, Jinjun 5; Zhang, Wensheng6
刊名	INTERNATIONAL JOURNAL OF BIO-INSPIRED COMPUTATION
	2019
卷号	14 期号:1 页码:62-68
关键词	inverted generational distance IGD generational distance many-objective optimisation algorithm mathematical analyses
ISSN号	1758-0366
通讯作者	Zhang, Maoqing(maoqing_zhang@163.com)
英文摘要	Inverted generational distance is a widely used indicator for evaluating many-objective optimisation algorithms. In the past several years, numerous researchers have paid much attention to the improvement of many-objective optimisation algorithms, while few researchers have mathematically analysed inverted generational distance. In this paper, we present detailed mathematical analyses of inverted generational distance, and then reveal the relation between generational distance and inverted generational distance. The conclusion is drawn that convergence plays different roles in different stages. Experimental results on seven many-objective benchmark problems verify our analyses.
资助项目	National Natural Science Foundation of China[61806138] ; National Natural Science Foundation of China[U1636220] ; National Natural Science Foundation of China[61663028] ; National Natural Science Foundation of China[51775385] ; National Natural Science Foundation of China[61703279] ; Natural Science Foundation of Shanxi Province[201801D121127] ; Scientific and Technological innovation Team of Shanxi Province[201805D131007] ; PhD Research Startup Foundation of Taiyuan University of Science and Technology[20182002]
WOS关键词	PERFORMANCE
WOS研究方向	Computer Science
语种	英语
出版者	INDERSCIENCE ENTERPRISES LTD
WOS记录号	WOS:000482130100004
资助机构	National Natural Science Foundation of China ; Natural Science Foundation of Shanxi Province ; Scientific and Technological innovation Team of Shanxi Province ; PhD Research Startup Foundation of Taiyuan University of Science and Technology
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/27556]
专题	中国科学院自动化研究所
通讯作者	Zhang, Maoqing
作者单位	1.Taiyuan Univ Sci & Technol, Complex Syst & Computat Intelligence Lab, Taiyuan 030024, Shanxi, Peoples R China 2.Tongji Univ, Dept Control Sci & Engn, Shanghai 201804, Peoples R China 3.Nanchang Inst Technol, Sch Informat Engn, Nanchang 330099, Jiangxi, Peoples R China 4.Beijing Univ Technol, Informat Fac, Beijing 100124, Peoples R China 5.Swinburne Univ Technol, Dept Comp Sci & Software Engn, Melbourne, Vic 3000, Australia 6.Chinese Acad Sci, State Key Lab Intelligent Control & Management Co, Inst Automat, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cai, Xingjuan,Zhang, Maoqing,Wang, Hui,et al. Analyses of inverted generational distance for many-objective optimisation algorithms[J]. INTERNATIONAL JOURNAL OF BIO-INSPIRED COMPUTATION,2019,14(1):62-68.
APA	Cai, Xingjuan,Zhang, Maoqing,Wang, Hui,Xu, Meng,Chen, Jinjun,&Zhang, Wensheng.(2019).Analyses of inverted generational distance for many-objective optimisation algorithms.INTERNATIONAL JOURNAL OF BIO-INSPIRED COMPUTATION,14(1),62-68.
MLA	Cai, Xingjuan,et al."Analyses of inverted generational distance for many-objective optimisation algorithms".INTERNATIONAL JOURNAL OF BIO-INSPIRED COMPUTATION 14.1(2019):62-68.