Anti Fuzzy Bi-Ideals in Semirings Under S-Norms

محورهای موضوعی : Fuzzy Optimization and Modeling Journal

Rasul Rasuli ¹

1 - Department of Mathematics, Payame Noor University(PNU), P. O. Box 19395-4697, Tehran, Iran

تاریخ دریافت : 1401/06/21 تاریخ پذیرش : 1401/10/04 تاریخ انتشار : 1401/09/10

کلید واژه: Norms, Fuzzy set theory, Semirings, anti fuzzy bi-ideals,

چکیده مقاله :

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.