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Fuzzy right (left) ideals in hypergroupoids and fuzzy bi-ideals in hypersemigroups
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 of an hypergroupoid is a fuzzy right (resp.
fuzzy left) ideal of if and only if (resp. and for an hypersemigroup , a fuzzy subset of is a
bi-ideal of if and only if . 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)