Summary: This note corrects an error in our paper [ibid. 55, No. 1, 1–11 (2021; Zbl 1468.49016)] as we should drop the expression “with at least one strict inequality” in the definition of interval order in Section 2. Instead of proposing this short amendment, N. A. Gadhi and A. Ichatouhane [ibid. 55, No. 1, 13–22 (2021; Zbl 1468.49014)] gave a proposition that requires an additional condition on the constraint functions. However, we claim that all the results of our paper are correct once the modification above is done.