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    Fuzzy right (left) ideals in hypergroupoids and fuzzy bi-ideals in hypersemigroups

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    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 ff of an hypergroupoid HH is a fuzzy right (resp. fuzzy left) ideal of HH if and only if f∘1βͺ―ff\circ 1\preceq f (resp. 1∘fβͺ―f)1\circ f\preceq f) and for an hypersemigroup HH, a fuzzy subset ff of HH is a bi-ideal of HH if and only if f∘1∘fβͺ―ff\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)
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