T-fuzzy Bi-ideals in Semirings
In this work, we initiate the study of fuzzy bi-ideals under t-norms (T-fuzzy bi-ideals) in semirings and investigate some properties of them. Also we define prime, strongly prime, semiprime, irreducible, strongly irreducible T-fuzzy bi-ideals of semirings. Next we investigate them under regular and intra-regular semirings. Finally, we characterize them under totally ordered by inclusion of T-fuzzy bi-ideals of semirings.
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