Affiliations: Department of Mathematics, Quaid-i-Azam University, Islamabad, Paksitan | Department of Mathematics, Umm Al Qurra University, Makkah, Saudi Arabia | Department of Mathematics, Babol University of Technology, Babol, Iran
Note: [] Corresponding author. Saleem Abdullah, Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan & Deanship of Preparatory Year, Umm Al Qura University, Makkah, Saudi Arabia. E-mails: saleemabdullah81@yahoo.com (S. Abdullah), draslamqau@yahoo.com (M. Aslam) and hedayati143@yahoo.com (H. Hedayati).
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.
