  We introduce the concepts of fuzzy right and fuzzy left ideals of
hypergroupoids and the concept of a fuzzy bi-ideal of an hypersemigroup and we
show that a fuzzy subset $f$ of an hypergroupoid $H$ is a fuzzy right (resp.
fuzzy left) ideal of $H$ if and only if $f\circ 1\preceq f$ (resp. $1\circ
f\preceq f)$ and for an hypersemigroup $H$, a fuzzy subset $f$ of $H$ is a
bi-ideal of $H$ if and only if $f\circ 1\circ f\preceq f$. These
characterizations are very useful for the investigation. The paper serves as an
example to show the way we pass from fuzzy groupoids (semigroups) to fuzzy
hypergroupoids (hypersemigroups).
