Bipolar fuzzy soft sets in Γ-semirings

다국어 초록 (Multilingual Abstract)

In this paper, we have introduced the concept of bipolar fuzzy soft $\Gamma-$subsemiring and bipolar fuzzy soft $\Gamma-$ideal in a $\Gamma-$semiring. Also we study some of their algebraic properties. It is also proved that the collection of all bipolar fuzzy soft $\Gamma-$ideals over a $\Gamma-$semiring forms a complete distributive lattice with the special union and intersection.

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