In this paper, we define the notion of intuitionistic fuzzy characteristic ideal (IFCI) of a $\Gamma$-ring which is analogue of a characteristic ideal in the ordinary ring theory and derive various new results. The correlation between the set of all automorphisms of $\Gamma$-ring and the corresponding automorphisms of its operator rings have been innovated. Then a one to one correlation between the set of all intuitionistic fuzzy characteristic ideals of $\Gamma$-ring and that of its operator ring has been constituted. This is used to obtain a similar bijection for characteristic ideals.
Keywords and Phrases
$\Gamma$-ring, Intuitionistic fuzzy characteristic ideal, $\Gamma$-Automorphism.
A.M.S. subject classiﬁcation
03F55, 16D25, 08A72, 03G25.