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.