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On the basis of concepts of bipolar fuzzy sets, we establish a new framework of bipolar fuzzy subsemirings(resp., ideals) which is a generalization of traditional fuzzy subsemirings(resp., ideals) in semirings. The concepts of bipolar fuzzy subsemirings(resp., ideals) are introduced and related properties are investigated by means of positive t-cut, negative s-cut and equivalence relation. Particularly, the notion of a normal bipolar fuzzy ideal is given, and some basic properties are studied in this paper. 相似文献