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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Sha Qin Sanyou Zeng Wei Dong Xi Li |
| Copyright Year | 2015 |
| Description | Author affiliation: Sch. of Comput. Sci., China Univ. of Geosci., Wuhan, China (Sha Qin; Sanyou Zeng; Wei Dong; Xi Li) |
| Abstract | 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 approaching infinity. A significant feature of this algorithm is that there is one-to-one relationship between the Pareto optimal set and the Pareto front, which suggests that different solutions have different objective values in the MOP. Thus the MOEA can find multi-solutions of the NES in a single run. Since the MOP is a multi-objective problem in many cases, this paper applies an advanced multi-objective evolutionary algorithm (i.e., Hype algorithm) to solve NES. Our experiment shows better results than or competitive to the four mentioned single-objective optimization in a set of test cases. |
| Starting Page | 2691 |
| Ending Page | 2696 |
| File Size | 396890 |
| Page Count | 6 |
| File Format | |
| e-ISBN | 9781479974924 |
| DOI | 10.1109/CEC.2015.7257222 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2015-05-25 |
| Publisher Place | Japan |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Nonlinear equations Sociology Evolutionary computation Pareto optimization Mathematical model Hype algorithm multi-objective optimization problem transformational MOP Nonlinear equation systems |
| Content Type | Text |
| Resource Type | Article |
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