As a generalization of pseudoorders, the weak pseudoorder in ordered (semi) hyperrings
was defined by Qiang et al., and some results were studied. In order to further study, we …

In the present paper, we introduce the notion of k-hyperideals on ordered semihyperrings.
Then, we investigate some fundamental properties of k-hyperideals of ordered …

In this paper, at first, we state the concept of derivations on ordered semihyperrings and give
some examples. Afterward, mk-hyperideals in ordered semihyperrings are defined and …

In this paper, we introduce the concept of semihyperring $(R,+,\cdot) $ together with a
suitable partial order $\le $. Moreover, we introduce and study hyperideals in ordered …

The notion of Neutrosophic sets first introduced by Smarandache in 1998 as a
generalization of intuitionistic fuzzy sets. Furthermore, Al-Tahan in 2022 introduced the …

This paper is an introduction of Γ-semirings. We first consider the congruences and ideals of
a Γ-semiring. Then we construct a new Γ-semiring and discuss the formation of ideals on this …

The concepts of (∈ γ,∈ γ∨ qδ)‐fuzzy bi‐hyperideals and (∈ γ,∈ γ∨ qδ)‐fuzzy quasi‐
hyperideals of a semihyperring are introduced, and some related properties of such (∈ γ,∈ …

Abstract The ${\Gamma} $-semihyperring is a generalization of the concepts of a semiring, a
semihyperring and a ${\Gamma} $-semiring. Here, the notions of (strongly) regular …

In a ternary semihyperring, addition is a hyperoperation and multiplication is a ternary
operation. Indeed, the notion of ternary semihyperrings is a generalization of semirings. Our …

In this paper, we present the concept of pure hyperideals of an ordered semihyperring and
work with the k-extension of a bi-quasi hyperideal, which is a generalization of k-bi-quasi …