Abstract

This paper studies relationship between bipolar fuzzy sets, rough sets and $$\Gamma $$ -semihypergroups. We study the notion of rough bipolar fuzzy $$\Gamma $$ -hyperideals in $$\Gamma $$ -semihypergroups. Then we prove that the lower and upper approximation of a bipolar fuzzy $$\Gamma $$ -hyperideal is a bipolar fuzzy $$\Gamma $$ -hyperideal.

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