This paper aims to complete and correct some results in the paper “Cross-migrative property for uninorms with different neutral elements” [15]. The proof of Remark 1 in [15] left out several very special cases, we complete the proof of this remark by Lemmas i, ii, iii, iv. Proposition 3.6 in [15] is not entirely correct since the authors actually only consider the case e1 < e2. In this paper we complement Proposition 3.6 and also correct the theorems whose proofs need to use the conclusion of Proposition 3.6.
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