Abstract
In this article, we introduce the concept of (∈, ∈ ∨q
δ
k
)-fuzzy
(generalized) bi-ideal, (∈, ∈ ∨q
δ
k
)-fuzzy (1, 2)-ideal, (∈, ∈ ∨q
δ
k
)-fuzzy
quasi-ideal in semigroups. We show that each (∈, ∈ ∨q
δ
k
)-fuzzy quasiideal is an (∈, ∈ ∨q
δ
k
)-fuzzy bi-ideal and each (∈, ∈ ∨q
δ
k
)-fuzzy left
(right) ideal is an (∈, ∈ ∨q
δ
k
)-fuzzy quasi-ideal but the converses are not
true in general.
