Abstract

We consider the intuitionistic fuzzi?cation of the concept of bi-\(\Gamma\)- ideals in \(\Gamma\)-LA-semigroup S, and investigated some properties of bi-\(\Gamma\)-ideals. We also prove that every intuitionistic fuzzy bi-\(\Gamma\)-ideals of a regular \(\Gamma\)-LA- semigroup S is intuitionistic fuzzy left (right) \(\Gamma\)-ideal of S. Moreover, Every \(\Gamma\)-LA band is an intuitionistic fuzzy right and left \(\Gamma\)-due.

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