Fuzzy G-modules of fuzzy modules with respect to a t-norm were
studied by some authors. Here we introduce the concept of intuitionis-
tic fuzzy G-modules with respect to a t-norm and study some properties
of them. Based of Atanassov's intuitionistic fuzzy submodule, the rela-
tionship between them and t-norms and also t-conorms will be investi-
gated in this paper. we will study nature of this kind of intuitionistic
fuzzy submodules under algeraic operations.