Abstract
In this work, an erratum for a proposition in the paper ‘‘A New Pre-Order Relation for Set Optimization using $\ell$-difference" is outlined. It was pointed out by Stefan Rocktäschel and Ernest Quintana that the proof of Proposition 3.11 is wrong in \cite{koc}. A small detail in the proof of Proposition 3.11 has been overlooked. A new proposition, which is closely related to Proposition 3.11 in \cite{koc}, is presented. The main results of the paper are not affected by this erratum.
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