Rough bipolar fuzzy ideals in semigroups

Abstract Fuzzy set (FS) theory and rough sets (RSs) are constructed to accommodate the data uncertainty. In contrast, bipolar FS (BFS) can tackle uncertainty bipolarity of in different circumstances. This article aims introduce idea fuzzy ideals semigroup (SG), which is a generalization concept BFSs (RBFSs) an SG. We also investigate roughness subsemigroup (BF-SSG) with help congruence relation (cng-R) defined on SG studied some relevant structural properties. Moreover, extended left ideal, right two-sided interior bi-ideal SGs. Further, it seen that cng-Rs complete play vital roles construction approximations ideals. Consequently, their associated properties explored by using cng-Rs.