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In this paper, we define two new unbiased GM (1, 1) models for the selection of initial conditions: starting-point fixed unbiased GM (1,1) (SUGM (1,1))and ending-point fixed unbiased GM (1, 1) (EUGM (1,1)), which are based on the unbiased GM (1, 1) regarding the 1-th and the n-th vector as the initial condition. Then it gave initial condition an amendment item respectively and carried out an optimization...
According to Principle of New Information Priority in grey theory, giving the new information larger weight in modeling can improve the effectiveness of gray model. For the GM (1, 1)model has very small samples, and the high overall simulation accuracy does not necessarily guarantee high prediction accuracy, we put forward weighted least square method to estimate parameters in GM (1, 1) model. Focusing...
For giving decision target equal weight in traditional multi-objective grey situation decision does not reflect the preferences of policy makers and the actual situation of decision-making, we put forward a weighting method in grey situation decision. Taking the closer of the effect of the situation with the ideals and the uncertainty of the weight into account, the multi-objective optimization model...
The GM(1,1) model assume the sequence is analogous to exponential law. Great error appears when it is used to simulate many nonlinear sequences. The paper proves that the growth rates of the simulated value of the GM(1,1) model and the discrete GM(1,1) model are both fixed value. If the growth rates of the primary sequence are equate, the fitted value deriving from the discrete GM(1,1) model the same...
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