in this paper, we define prime (semiprime) hyperideals and prime(semiprime) fuzzy hyperideals of semihypergroups. we characterize semihypergroupsin terms of their prime (semiprime) hyperideals and prime (semiprime)fuzzyh yperideals.

In this paper, we define prime (semiprime) hyperideals and prime(semiprime) fuzzy hyperideals of semihypergroups. We characterize semihypergroupsin terms of their prime (semiprime) hyperideals and prime (semiprime)fuzzyh yperideals.

Let R be a commutative hyperring with identity. We introduceand study prime fuzzy hyperideals of R. We investigate the Zariski topologyon FHspec(R), the spectrum of prime fuzzy hyperideals of R.

Firstly, soft hyperideals of hyperlattices are introduced and several interesting examples of them are given. Secondly, fuzzy soft hyperideals are proposed, which are generalizations of hyperideals and soft hyperideals in hyperlattices. After that, equivalent conditions of fuzzy soft hyperideals are given by using level soft sets. Finally, under the fuzzy soft homomorphism of hyperlattices, the...

1 Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320 Pakistan 2 The Foundation Department Sur University College P.O. Box 440 P.C 411, Sur, Muscat, Sultanate of Oman Abstract: The concept of quasi-coincidence of fuzzy point with a fuzzy subset has considered. By using this idea, the notion of (, )-fuzzy hyperideal in a semihyperring introduced and consequently, a generalizat...

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...

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 this paper, the concepts of minimal and maximal left hyperideals in ordered semihypergroups are introduced, and several related properties are investigated. Furthermore, we introduce the concepts of weakly prime, quasi-prime, quasi-semiprime and weakly quasiprime left hyperideals of an ordered semihypergroup, and establish the relationship among the four classes of left hyperideals. Moreover...

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...