A gray input-output model based on the standard interval grey number

A gray input-output model based on the standard interval grey number, the condition of convergence of M steps grey matrix and the solution method were given, then produced the corresponding mathematics proof in this paper. The model and solution method obtained a good result in the solution process of the gray input-output model. Finally, the validity and feasibility of this model was confirmed when used in a input-output example that just has two-departments.