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- W1498162571 abstract "Previously a preference relation based on the Chebyshev achievement function to solve many-objective optimization problems was proposed. Although using this preference relation improved the performance of NSGA-II, in this paper we present a new ranking method based on the ∈-indicator and the Chebyshev achievement function. The goal of this new method is two fold: i) to improve the performance of the original algorithm, and ii) to design a parallel sorting method in order to use it with large populations (≫ 10 <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>4</sup> individuals). To do so, unlike the original approach, we have completely replaced the nondominated sorting by a method that ranks the population based on these two preference criteria. As the experiments show, the resulting algorithm outperforms both the standard NSGA-II and our previous approach in selected DTLZ problems. We also present a parallel implementation of the new sorting method. The running time analysis shows that the communication overhead is low enough to allow the speedup reach its peak for a large number of processors." @default.
- W1498162571 created "2016-06-24" @default.
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- W1498162571 date "2015-05-01" @default.
- W1498162571 modified "2023-10-03" @default.
- W1498162571 title "A ranking method based on two preference criteria: Chebyshev function and ε-indicator" @default.
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- W1498162571 doi "https://doi.org/10.1109/cec.2015.7257240" @default.
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