We propose a new class of algebraic structure named as (m, n)-semihyperring which is a generalization of usual semihyperring. We define the basic properties of (m, n)-semihyperring like identity elements, weak distributive (m, n)semihyperring, zero sum free, additively idempotent, hyperideals, homomorphism, inclusion homomorphism, congruence relation, quotient (m, n)-semihyperring etc. We propo...

A Γ-semihyperring is a generalization of a semiring, a generalization of a semihyperring and a generalization of a Γ-semiring. In this paper, we define the notion of a fuzzy (prime) Γ-hyperideal of a Γ-semihyperring. Then we prove some results in this respect. Also, by using the notion of fuzzy Γ-hyperideals, we give several characterizations of Γ-semihyperrings. 2000 Mathematics Subject Classi...

The concept of quasi-coincidence of interval valued fuzzy point with an interval valued fuzzy subset has considered. By using this idea, the notion of interval valued (α, β)-fuzzy hyperideal in a semihyperring introduced and consequently, a generalization of interval valued fuzzy hyperideals and interval valued fuzzy hyperideals have defined. In this paper, we study the related properties of th...

and Applied Analysis 3 Then,M m,n (S) isM n,m (S)-semihyperring [29]. Now, suppose that

The purpose of this paper is to introduced neutrosophic hyperideals of a Γ-semihyperring and consider some operations on them to investigate some of its basic properties.

The notion of ordered semihyperrings is a generalization semirings and semihyperrings. In this paper, the Galois connection between are studied in detail various interesting results obtained. A construction an semihyperring via regular relation given. Furthermore, we present homomorphisms derivations on semihyperring.

the concept of  -semihyperring is a generalization of semiring, a generalization of semihyperring and a generalization of      -semiring. since the theory of ideals plays an important role in the theory of  - semihyperring, in this paper, we will make an intensive study of the notions of noetherian, artinian, simple and   regular      -semihyperrings. the bulk of this paper...

The concept of Γ-semihyperrings was introduced by Dehkordi and Davvaz as a generalization of semirings, semihyperrings, and Γ-semiring. In this paper, by using the notion of triangular norms, we define the concept of triangular fuzzy sub-Γ-semihyperrings as well as triangular fuzzy Γ-hyperideals of a Γ-semihyperring, and we study a few results in this respect.

The concepts of (∈ γ , ∈ γ ∨ q δ )-fuzzy bi-hyperideals and (∈ γ , ∈ γ ∨ q δ )-fuzzy quasi-hyperideals of a semihyperring are introduced, and some related properties of such (∈ γ , ∈ γ ∨ q δ )-fuzzy hyperideals are investigated. In particular, the notions of hyperregular semihyperrings and left duo semihyperrings are given, and their characterizations in terms of hyperideals and (∈ γ , ∈ γ ∨ q ...

in a ternary semihyperring, addition is a hyperoperation and multiplicationis a ternary operation. indeed, the notion of ternary semihyperringsis a generalization of semirings. our main purpose of this paper is to introducethe notions of fuzzy hyperideal and fuzzy bi-hyperideal in ternary semihyperrings.we give some characterizations of fuzzy hyperideals and investigateseveral kinds of them.