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On the basis of the concept of the interval valued intuitionistic fuzzy setsintroduced 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 homomorphicimage and the inverse image are investigated.In particular, the connectionsbetween interval valued intuitionistic $(S,T)$-fuzzy $H_v$-submodules andinterval valued intuitionistic $(S,T)$-fuzzy submodules are discussed

Interval Valued Intuitionistic (S, T)–fuzzy H v –submodules