(α,β)(α,β)-intuitionistic fuzzy ideals of hemirings

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