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

Abstract

The concepts of (∈ , ∈ ∨ )-fuzzy bi-hyperideals and (∈ , ∈ ∨ )-fuzzy quasi-hyperideals of a semihyperring are introduced, and some related properties of such (∈ , ∈ ∨ )-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 (∈ , ∈ ∨ )-fuzzy hyperideals are studied