Anti Fuzzy Bi-Ideals in Semirings Under S-Norms

In this paper, by using s-norms, the notion of fuzzy bi-ideals in semirings will be defined and investigated some properties of them. Next prime, strongly prime, semiprime, irreducible, strongly irreducible of them will be introduced and obtained some results about them. Latter, they will be investigated under regular and intra-regular semirings. Finally, they will be characterized under totally ordered by inclusion.