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Data envelopment analysis (DEA) is a useful method for evaluating the relative efficiency of Decision Making Units (DMUs), and the cross-efficiency evaluation method has been proposed for ranking. To solve the non-uniqueness of the value of cross-efficiency evaluation, this paper uses the idea of grey relational analysis and defines the ideal DMU, then calculates the grey relational degree of each...
Focusing on the grey cluster problem of observation values with interval grey numbers, this paper presents a new expression of the central-point triangular whitenization weight function by using interval grey numbers. Through the construction of this integral mean value function on the set of interval grey numbers, the scope of application of grey clustering model is extended to the interval grey...
Thisstudy selectsthe data of Jiangsu Province based on carbon emissions from 2001 to 2010. By adopting the new prediction method of the GM (1,1) model that regards the linear combination of original data as the initial conditions, the carbon emission of Jiangsu Province in the next few years has been predicted. The results show that the new GM (1,1) model'ssimulation precisioncompared to the traditional...
Since traditional Cobb-Douglas production function cannot be supposed to great fluctuant data, this paper uses grey system GM(1,1) model to pre-deal with the raw data and establish grey production function model (model G-C-D) based on the GM(1,1) simulated sequences. This model is used to empirically analyze the role and its change of contribution factors (labor force, investment, technology progress)...
This paper studies on the multi-attribute decision model of grey target, proposes a new model of grey target decision-making. First, the operator of utility transformation is proposed to meet the decision-maker's need and improve the decision quality. Then an optimization model is established, and index weights are confirmed by constructing the Lagrange function. Finally, the method is proved feasible...
With the economic development, the proportion of service industry is going up constantly, which has become a widely accepted rule. Recently, although the economy in our country has almost been kept the leading rising speed around the globe, the service industry has not enjoyed the rising speed as expected and its status in National Economy has not been remarkably enhanced. Apart from the reasons from...
The paper puts forward a new conversion method that convert original sequence using cosine function, which proves discrete data sequence can improve smoothness by this conversion in theory. And this conversion is used in GM(1,1) model, which is used in example prediction at the end of this paper, which proves the effectiveness of the method of this paper.
With the development of China economy, energy consumption increases rapidly, which results in a series of social problems. In these problems, environmental issues are still prominent. The enormous energy consumption deteriorates the environmental quality, and hinders the economy growth. In this paper, Grey relational analysis of `grey theory' is adopted in the study of the relationship between China's...
In this paper, GM (l, 1) model in gray system theory is used to predict the weeks closing price on the Shanghai and Shenzhen 300 Index fell more than 2.5% and the months closing price fell more than 10%. The results showed that the accuracy of predictive value met the requirements and it indicates that the model can be used for the disaster forecast for the Shanghai and Shenzhen index in long-term...
The constraint conditions of some linear programming are presented with grey system, linear regression and qualitative analysis. Therefore, the linear programming model to adjust the internal structure of the first industry in China is developed. And its responding adjusting plans on the internal structure of the first industry in the period of ldquoeleven-fiverdquo is advised. Lastly, the keys and...
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