Abstract
In this paper we prove that the set of all irreducible discrete quasi-copulas coincides with the set of all discrete quasi-copulas with minimal range. We also provide answers, throughout some counterexamples, to two questions posed in Aguiló et al. [2] regarding both discrete quasi-copulas with minimal range and irreducible discrete quasi-copulas. Some additional results concerning discrete (quasi-)copulas are also given.
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