Rough intuitionistic fuzzy 2-absorbing primary ideals in semirings

Abstract

In this paper considering the Bourne relation induced by an ideal of a semiring, we  introduce and study rough 2-absorbing primary ideals and rough  intuitionistic fuzzy 2-absorbing primary ideals of a semiring   a generalization of rough prime (primary) ideals  of a ring. We also study properties of rough  intuitionistic fuzzy 2-absorbing ideals and rough intuitionistic fuzzy 2-absorbing  primary ideals. In addition, we examine the conditions under which the upper and lower rough 2-absorbing primary ideals and upper and lower approximations of their homomorphic images are related.