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In this paper, using "'belongingness (=) ” and ‘‘quasi-coincidence (q) ” of fuzzy pomts and fuzzy sets, the concept of (€,£ Vq)-fuzzy heminngs and (€,€ V q) -fuzzy hemirings have been introduced and some of its properties have been investigated.

(∈, ∈ ∨q)-fuzzy hemirings and (∈¯, ∈ ∨¯ ¯q)- fuzzy hemirings