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(α,β)-intuitionistic fuzzy ideals of hemirings. (English) Zbl 1232.08004
Summary: We introduce the concept of (α,β)-intuitionistic fuzzy sub-hemiring, (left, right, two sided) ideals of hemirings, where α,β are any two of {,q,q,q} with αq, by using belongs to relation () and quasi-coincidence with relation (q) between intuitionistic fuzzy points and intuitionistic fuzzy sets, and investigate related properties. Moreover, we define prime (semiprime) (α,β)-intuitionistic fuzzy ideals of hemirings and investigate some different properties of these ideals.
08A72Fuzzy algebraic structures
16Y99Generalizations of associative rings and algebras
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