The publication describes Grey System Theory (GST) and takes into account the Grey differential model (GM) and Grey Generating Space (GS). Grey System Theory shows to which extent the vibration signals (deriving from tested objects) influence the evaluation and analysis of condition of the machine. The above-mentioned theory applies under the existence of fix, non-negative and monotonic data correlated with insufficient and uncertain data’ sources. In relation to these circumstances, the Forecasting (rolling window) method seems to be appropriate solution, which remains the main subject of this paper. The present research use vibration methods to recognize the technical state of the machines and SVD method (Singular Value Decomposition) as well as GST (Grey System Theory) was used for results validation.
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