Characterizations of Semihyperrings by Their (∈γ,∈γ∨qδ)-Fuzzy Hyperideals

Abstract

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,∈γ∨qδ)-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∨qδ)-fuzzy hyperideals are studied.