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In this paper, we introduce the notion of fuzzy soft ordered Γ−semiring, fuzzy soft ideal,fuzzy soft bi-ideal,fuzzy soft quasi-ideal and fuzzy soft interior ideal over ordered Γ−Semirings and study some of their algebraical properties and relations between them. 2010 Mathematics Subject Classification.16Y60, 08A72.

Fuzzy Soft Ideal, Fuzzy Soft Bi-Ideal, Fuzzy Soft Quasi-Ideal and Fuzzy Soft Interior Ideal Over Ordered Γ−Semiring