intuitionistic fuzzy g-modules relative with a t-norm

In this paper we study about intuitionistic fuzzy gmodules and some properties of them. the relationship between tnorms and intuitionistic fuzzy g-modules will be investigated. let g be a group and m be a g−module over k, which is a subfield of c. then an intuitionistic fuzzy g-module (ifg−module) on m is an intuitionistic fuzzy subset a = (μa, νa) of m such that following conditions are satisfied: 1) μa(ax + by) ≥ μa(x) ∧ μa(y) νa(ax + by) ≤ νa(x) ∨ νa(y), for every a, b ∈ k and x, y ∈ m; 2) μa(gm) ≥ μa(m) and νa (gm) ≤ νa(m), for every g ∈ g and m ∈ m. we investigate the nature of this kind of intuitionistic fuzzy gmodules under some algebraic operators.