Interval valued (α,β)-intuitionistic fuzzy ideals in hemirings

Abstract

In this paper, we introduced the concept interval valued intuitionistic fuzzy point. We combine the concept of an interval valued intutionistic fuzzy set with interval valued intuitionistic fuzzy point, to introduce the notion of an (α, β)-intuitionistic fuzzy sub-hemiring (left, right, two sided) ideal of hemirings, where α, β are any two of $\left\{\in, q,\in\vee q,\in\wedge q\right\}$ with $\alpha\neq\in\wedge q$ . Moreover, we define prime (semiprime) interval valued (α, β)-intuitionistic fuzzy ideals of hemirings and investigate some different properties of these ideals.