Abstract: The definition of indecomposability for generalized sign pattern matrices is extended firstly in this paper. The fully ambiguous indecomposable generalized sign pattern matrices and partly ambiguous decomposable generalized sign pattern matrices are then defined. Moreover, the (strict) fully indecomposable base for a primitive non-powerful (generalized) sign pattern matrix is put forward, which is the generalization of the (strict) fully indecomposable exponent for a primitive (0,1) matrix. Meanwhile, the graph depicts for (strict) indecomposable base is given, and some upper bounds for the (strict) fully indecomposable base of primitive non-powerful sign pattern matrices are obtained. Furthermore, the definitions of fully ambiguous indecomposable generalized sign pattern matrix and (strict) fully indecomposable base to w-ambiguous indecomposable generalized sign pattern matrix and (strict) w-indecomposable based are generalized respectively.