)-Fuzzy Hyperideals in Semihyperrings
نویسندگان
چکیده
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 generalization of fuzzy hyperideals has defined. In this paper, we study the related properties of the (, )-fuzzy hyperideals and in particular, the (,q)-fuzzy hyperideals in semihyperrings will be investigated. Moreover, we also consider the concept of implication-based fuzzy hyperideals in semihyperrings.
منابع مشابه
Characterizations of Semihyperrings by Their (∈γ, ∈γ ∨ qδ)-Fuzzy Hyperideals
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 ...
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