  On the basis of the concept of the interval valued intuitionistic fuzzy sets
introduced by K.Atanassov, the notion of interval valued intuitionistic fuzzy
$H_v$-submodules of an $H_v$-module with respect to $t$-norm $T$ and $s$-norm
$S$ is given and the characteristic properties are described. The homomorphic
image and the inverse image are investigated.In particular, the connections
between interval valued intuitionistic $(S,T)$-fuzzy $H_v$-submodules and
interval valued intuitionistic $(S,T)$-fuzzy submodules are discussed.
