(Weakly) (alpha,beta)-prime hyperideals in commutative multiplicative hypeering

Let H be a commutative multiplicative hyperring and alpha, beta in Z^+. Aproper hyperideal P of H is called (weakly) (alpha,beta)-prime if ( 0 ∉ x^ alpha 0 y ⊆ P) x^ alpha y ⊆ P for x,y in H implies x^beta ⊆ P or y ∈ P. In this paper, we aim to investigate (weakly( (alpha,beta)-prime hyperideals and then we present some properties of them.