From the author's abstract: ``The composition-closed sets of partial multi-valued operations, called partial hyperclones, defined on the finite set \(\{0,1,\dots,k-1\}\) \((k\geq 2)\) are investigated. It is shown that the lattice of all partial hyperclones is dually atomic, i.e. any non-full partial hyperclone is contained in a maximal partial hyperclone. Based on this, some completeness criteria in the full partial hyperclone are established. Next, the total list of maximal restriction-closed partial hyperclones is obtained and, thus, the completeness problem with respect to compositions and restrictions of partial hyperclones is solved.'' Reviewer's note: The author poses the question: Does there exist a binary Sheffer partial hyperoperation and also a binary Sheffer hyperoperation for any \(k\) \((k \geq 2)\)?