Abstract
In this paper, we introduce the notion of \(C\)-prime fuzzy bi-ideal, equiprime fuzzy bi-ideals and 3-prime fuzzy bi-ideal in \(\Gamma\)-near-rings and obtain some of their related properties. Also we introduce fuzzy bi-filters and fuzzy bi-ideal subsets in ordered \(\Gamma\)-near-rings and characterize ordered \(\Gamma\)-near-rings in terms of fuzzy bi-ideal subsets and fuzzy bi-filters.
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