A research on the deterministic grey dynamic model with multiple inputs DGDMMI(1,1,1)

Abstract

Accumulated generating operation (AGO) is one of the most important characteristics of grey theory, and the purpose of AGO is to reduce the randomness of the data. The incompleteness of messages is the primary characteristic of grey theory, and it is necessary to whiten a system by way of inserting more messages in the system. The new model presented in this article is called the deterministic grey dynamic model with multiple inputs, abbreviated as DGDMMI(1,1,1). Additional several series can be introduced to act as the leading indicators (input series) except the predicted series (output series) by DGDMMI(1,1,1) model. The messages for a system can be inserted sufficiently, a transfer function model would be used to combine the AGO series of input series with that of output series, and then the deterministic convergence scheme is used to evaluate the unbiased estimates of the system parameters. The relationship between input series and output series is erected sufficiently by DGDMMI(1,1,1) and high prediction accuracy of a dynamic system can be obtained. Then, high prediction accuracy of economy and indirect measurement of engineering quantities can be broadly anticipated.