We introduce the notion of hypergroupoids , and show that is a super-semigroup of the semigroup via the identification . We prove that is a -algebra, and obtain several properties of .
Jeong Soon Han. Hee Sik Kim. J. Neggers. "The Hypergroupoid Semigroups as Generalizations of the Groupoid Semigroups." J. Appl. Math. 2012 1 - 8, 2012. https://doi.org/10.1155/2012/717698