## A Weighted Biobjective Transformation Technique for Locating Multiple Optimal Solutions of Nonlinear Equation Systems

- Wenyin Gong, Yong Wang, Zhihua Cai, Shengxiang Yang
- IEEE Transactions on Evolutionary Computation
- 2017

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@article{Qin2015NonlinearES, title={Nonlinear equation systems solved by many-objective Hype}, author={Sha Qin and Sanyou Zeng and Wei Dong and Xi Li}, journal={2015 IEEE Congress on Evolutionary Computation (CEC)}, year={2015}, pages={2691-2696} }

- Published 2015 in 2015 IEEE Congress on Evolutionary Computation…
DOI:10.1109/CEC.2015.7257222

A difficulty in solving nonlinear equation systems (NESs) stays in finding all the solutions for NES. This paper uses multi-objective evolutionary techniques to overcome it. We converted the NES into a multi-objective optimization problem (MOP) with a parameter C. The Pareto-optimal set of the MOP becomes the solutions of the NES when the parameter C gets to infinity. Next, a multi-objective evolutionary algorithm (MOEA) is used to solve the transformed MOP, during which C is gradually… CONTINUE READING

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