Generalized fuzzy image-submodules endowed with interval valued membership functions

We introduce the concept of an interval valued image-fuzzy image-submodule of an image-module. This concept is a generalization of a fuzzy image-submodule of an image-module. In the paper, we investigate interval valued image-fuzzy image-submodules and present some structural results. We also consider such image-submodules endowed with an implicative operation. Some related results recently obtained by Davvaz, Dudek, Corsini and Jun on image-submodules are extended.