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With respect to the issue that traditional grey model GM(1,1) hardly satisfies the prediction requirement of sequence fluctuation, a new data processing method of dealing with amplitude compression transformation and average weighted transformation is proposed. Furthermore, the fact that amplitude compression transformation is able to decrease the fluctuation of sequences and average weighted transformation...
The quantitative measure to the coordination of the development of the regional economy and environment is important to the scientific evaluation to the level of development of the regional economy and environment, and the current research to the quantitative measure to the coordination of the development of the regional economy and environment is still rarely paid a attention. For the shortcomings...
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...
The guidelines for the construction of the data transformation have been proposed in the paper based on the mechanism, and a new type of transformation was constructed. A number of properties of the new transformation also have been discussed. A new GM (1, 1) model based on the new transformation is established. It is proved that the prediction accuracy of GM (1, 1) can be improved by the new transformation...
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 grey relational analysis is an important branch of grey system theory. It is the foundation of grey clustering, decision-making, and control. The aim of this paper is to further study the properties of algorithms for grey relational analysis. On the basis of analysis on the existing models for grey relational analysis and their properties, this paper first presents the novel definition of affinity...
We search for an improved gray GM (1,1) model by data processing. First, a number of properties of generation by weighting are proved, and then weighting generating is applied to GM(1,1). Calculation result indicates that weighting GM(1,1) model is improved and precision is increased. This indicated that weighting GM(1,1) model has better applicability.
The grey forecast is one of the important parts in grey systems theory. According to the theory of prior using of new information, based on the present theories of buffer operators and some already existed weakening buffer operators, some new weakening buffer operators are established. Meanwhile, they are compared with the existing weakening buffer operators in effectiveness. The problem that there...
In this paper, the gray preference analysis of service brand extension is proposed based on A&K model, and a famous Chinese brand suning is experimented. The experimental evidence shows that complementary is a salient clue to evaluate extensions in a services context, the process quality is more important than functional quality, and brand extension strategies could probably be used more successfully...
By analyzing Grey decision, we think it will come down to benefits and effects of all parts during the decision. So, only if these benefits and effects are fully considered, the result of decision is scientific and rational. For multi-hierarchy decisions, the decision-makers must be endowed to different weight because of the different actions of them. In this paper, the authors deal with the A middot...
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