Rasul Rasuli - Department of Mathematics, Payame Noor University (PNU), Tehran, Iran.
Mohammad Mehde Moatamedi nezhad - University of Applied Science and Technology, Tehran, Iran.

In this study, we define fuzzy and anti fuzzy submodules with respect to t-normd T and t-conorm C and investigate some of their algebraic properties of them. Next, we prove that homomorphic images and pre images of them under group homomorphisms.

Theory of modules, norms, fuzzy set theory.