Integrating Variable Reduction Strategy With Evolutionary Algorithms for Solving Nonlinear Equations Systems

doi:10.1109/JAS.2021.1004278

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	Integrating Variable Reduction Strategy With Evolutionary Algorithms for Solving Nonlinear Equations Systems
	Aijuan Song; Guohua Wu; Witold Pedrycz; Ling Wang
发表期刊	IEEE/CAA Journal of Automatica Sinica
ISSN	2329-9266
	2022
卷号	9 期号:1 页码:75-89
摘要	Nonlinear equations systems (NESs) are widely used in real-world problems and they are difficult to solve due to their nonlinearity and multiple roots. Evolutionary algorithms (EAs) are one of the methods for solving NESs, given their global search capabilities and ability to locate multiple roots of a NES simultaneously within one run. Currently, the majority of research on using EAs to solve NESs focuses on transformation techniques and improving the performance of the used EAs. By contrast, problem domain knowledge of NESs is investigated in this study, where we propose the incorporation of a variable reduction strategy (VRS) into EAs to solve NESs. The VRS makes full use of the systems of expressing a NES and uses some variables (i.e., core variable) to represent other variables (i.e., reduced variables) through variable relationships that exist in the equation systems. It enables the reduction of partial variables and equations and shrinks the decision space, thereby reducing the complexity of the problem and improving the search efficiency of the EAs. To test the effectiveness of VRS in dealing with NESs, this paper mainly integrates the VRS into two existing state-of-the-art EA methods (i.e., MONES and DR-JADE) according to the integration framework of the VRS and EA, respectively. Experimental results show that, with the assistance of the VRS, the EA methods can produce better results than the original methods and other compared methods. Furthermore, extensive experiments regarding the influence of different reduction schemes and EAs substantiate that a better EA for solving a NES with more reduced variables tends to provide better performance.
关键词	Evolutionary algorithm (EA) nonlinear equations systems (ENSs) problem domain knowledge variable reduction strategy (VRS)
DOI	10.1109/JAS.2021.1004278
引用统计	被引频次：10[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/45975
专题	学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Aijuan Song,Guohua Wu,Witold Pedrycz,et al. Integrating Variable Reduction Strategy With Evolutionary Algorithms for Solving Nonlinear Equations Systems[J]. IEEE/CAA Journal of Automatica Sinica,2022,9(1):75-89.
APA	Aijuan Song,Guohua Wu,Witold Pedrycz,&Ling Wang.(2022).Integrating Variable Reduction Strategy With Evolutionary Algorithms for Solving Nonlinear Equations Systems.IEEE/CAA Journal of Automatica Sinica,9(1),75-89.
MLA	Aijuan Song,et al."Integrating Variable Reduction Strategy With Evolutionary Algorithms for Solving Nonlinear Equations Systems".IEEE/CAA Journal of Automatica Sinica 9.1(2022):75-89.

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