Abstract
Using the notion of generalized fuzzy sets, we introduce the notions of generalized fuzzy hyperideals, generalized fuzzy bi-hyperideals, and generalized fuzzy normal bi-hyperideals in an ordered non-associative and non-commutative algebraic structure, namely an ordered LA-semihypergroup, and we characterize these hyperideals. We provide some results related to the images and preimages of generalized fuzzy hyperideals in ordered LA-semihypergroups.