Abstract
In this paper, we introduce the concept of
(
α
,
β
)
-intuitionistic fuzzy sub-hemiring, (left, right, two sided) ideals of hemirings, where
α
,
β
are any two of
{
∈
,
q
,
∈
∨
q
,
∈
∧
q
}
with
α
≠
∈
∧
q
, by using
belongs to relation
(
∈
)
and
quasi-coincidence with relation
(
q
)
between intuitionistic fuzzy points and intuitionistic fuzzy sets, and investigate related properties. Moreover, we define prime(semiprime)
(
α
,
β
)
-intuitionistic fuzzy ideals of hemirings and investigate some different properties of these ideals.