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. 2018 Jan 15;19:13. doi: 10.1186/s12859-018-2007-7

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© The Author(s) 2018

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver(http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.

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Fig. 1 — Pareto front, Pareto set and k-best Pareto set according to two objectives to minimized. a The set of non-dominated solutions is the Pareto set, and their corresponding values according to the two criteria form the Pareto front. b Example of k-best Pareto sets with k=1,2,3