  After the introduction of fuzzy sets by Zadeh, there have been a number of
generalizations of this fundamental concept. The notion of intuitionistic fuzzy
sets introduced by Atanassov is one among them. In this paper, we apply the
concept of an intuitionistic fuzzy set to $H_v$-modules. The notion of an
intuitionistic fuzzy $H_v$-submodule of an $H_v$-module is introduced, and some
related properties are investigated. Characterizations of intuitionistic fuzzy
$H_v$-submodules are given.
