In this Letter to the Editor, we propose some changes to an example of Pareto dominance by Copado-Mendez et al., since the original errors in the article change the understanding of the reader. The proposed changes come from a comparison with a previous work of Brockhoff and Zitzler. Sustained on this comparison, the example of Pareto dominance is reconstructed. The original article is an excellent work, very sound and useful. We want to contribute to a better understanding of the audience. (C) 2015 Elsevier Ltd. All rights reserved.