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Characterizations of semihyperrings by their \((\epsilon_\gamma, \epsilon_\gamma \vee q_\delta)\)-fuzzy hyperideals. (English) Zbl 1271.08002

Summary: The concepts of \((\epsilon_\gamma, \epsilon_\gamma \vee q_\delta)\)-fuzzy bi-hyperideals and \((\epsilon_\gamma, \epsilon_\gamma \vee q_\delta)\)-fuzzy quasi-hyperideals of a semihyperring are introduced, and some related properties of such \((\epsilon_\gamma, \epsilon_\gamma \vee q_\delta)\)-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 \((\epsilon_\gamma, \epsilon_\gamma \vee q_\delta)\)-fuzzy hyperideals are studied.

MSC:

08A72 Fuzzy algebraic structures
16Y99 Generalizations
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