  In this paper, we discussed about the intuitionistic fuzzy linear
transformations (IFLT) and shown that the set of all linear transformations
L(V) defined over an intuitionistic fuzzy vector space V does not form an
vector space. Here we determine the unique intuitionistic fuzzy matrix
associated with an intuitionistic fuzzy linear transformation with respect to
an ordered standard basis for an intuitionistic fuzzy vector space. We
introduced the concept of the inverse of an IFLT.
