Shahrood University of TechnologyJournal of Algebraic Systems2345-5128Articles in Press20240409(weakly) $(s,n)$-closed hyperideals in commutative multiplicative hyperrings313310.22044/jas.2024.13889.1780ENMahdi AnbarloeiImam Khomeini International UniversityJournal Article20231127A multiplicative hyperring is a well-known type of algebraic hyperstructures which extends a ring to a structure in which the addition is an operation but the multiplication is a hyperoperation. Let $G$ be a commutative multiplicative hyperring and $s,n \in \mathbb{Z}^+$. A proper hyperideal $Q$ of $G$ is called (weakly) $(s,n)$-closed if ($0 \notin a^s \subseteq Q$ ) $a^s \subseteq Q$ for $a \in G$ implies $a^n \subseteq Q$. In this paper, we aim to investigate (weakly) $(s,n)$-closed hyperideals and give some results explaining the structures of these notions.