On generalized fuzzy sets in ordered LA-semihypergroups

摘要

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 nonassociativeand non-commutative algebraic structure, namely an ordered LA-semihypergroup, and we characterizethese hyperideals. We provide some results related to the images and preimages of generalizedfuzzy hyperideals in ordered LA-semihypergroups.