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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 semihyperringsand left duo semihyperrings are given, and their characterizations in terms of hyperideals and (∈γ,∈γ∨qδ)-fuzzy hyperideals are studied

journal of applied mathematics

Characterizations of Semihyperrings by Their (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msub><mml:mo>∈</mml:mo><mml:mi>γ</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mo>∈</mml:mo><mml:mi>γ</mml:mi></mml:msub><mml:mo>∨</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mi>δ</mml:mi></mml:msub></mml:mrow></mml:math>)-Fuzzy Hyperideals

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