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By utilizing Gamma function expanded for integer factorial, this paper expands one order reducing generation operator into integer order reducing generation operator and fractional order reducing generation operator, and gives the analytical expression of fractional order reducing generation operator. Actually, one order reducing generation operator and integer order reducing generation operator are...
As an important tourism resource, the reasonably protective tourism exploitation of the intangible cultural heritage, has been popular internationally, and the rational and scientific evaluation of its tourism exploitation potentiality plays a key role in its tourism exploitation. This paper, based on the former research achievements and the features of the intangible cultural heritage tourism resources,...
By utilizing Gamma function expanded for integer factorial, this paper deduces the analytical expression of integer order accumulating generation operator based on the one order accumulating generation operator, then expands the integer order accumulating generation operator into the fractional order accumulating generation operator, and gives the analytical expression of fractional order accumulating...
The interval grey numbers are the basic units of the grey system theory, however, the imperfect algorithm of interval grey numbers seriously restricts the development of the grey system theory. In this paper, the definitions of “kernels” based on the lower measure, the upper measure or the moderate measure are given according to the properties of the interval grey number problems. By means of the...
Air pollution has become a serious problem in China. The Ministry of Environmental Protection of China releases real-time air quality monitoring data in 74 cities online. This thesis applies grey incidence analysis to assess the air quality of 12 monitoring stations. The research shows that the two methods achieve similar evaluation results. The main reason for the difference between the two results...
To study the selection of the international cooperation project in China, a method based on grey clustering decision-making model is proposed and applied in selection of international cooperation key-technology projects in Jiangsu Province. The demand and supply information is defined as urgency and possibility indexes in the international cooperation project selection index system. Whitenization...
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...
Simulation precision of conventional grey prediction models is poor when the modeling sequence has the feature of oscillation. Actually, the smoother the sequence is, the higher the simulation precision is. With the purpose of perfecting the smoothness of the oscillation sequence and improving the simulation precision of grey models, this paper researches a smoothing algorithm which can compress the...
In this paper, in view of the disadvantages of traditional discrete GM (1, 1) model, we propose the ending-point optimized discrete grey (1, 1) model (EODGM(1,1)) to improve prediction accuracy and give the concrete calculation formula. The novel model assumes that the sequence start iteration from the optimized ending point. We can get optimum initial iteration point by using optimization algorithm...
Although grey systems theory has been successfully utilized in many fields and demonstrated promising results, literatures show its performance still could be improved. Remarks on grey number and algorithms of grey numbers need to be farther discussed. Grey number is the basic element of grey systems theory. The algorithms of grey numbers are the foundation of grey mathematics. This paper modifies...
Based on studying all kinds of main degree of grey incidence models, it is founded that there are some flaws in those models. For example some models do not meet the property of normality, and can not reflect the relation of positive-negative between sequences and so on. In order to solve those problems, a new model for grey incidence based on the changing rate of slope is proposed. This model calculates...
Grey incidence model is an important part of grey system theory on the basis of grey decision-making and grey cluster. A new grey incidence model is constructed by gradual tempo difference between sequence and relevant sequence based on the analyzing traditional grey incidence models. Meanwhile, the new model has some characters. A real example is presented to illustrate its simplification and practicability.
This paper shows a grey relation entropy method and analyzes the effectiveness of this method and the entropy relation grade. It proves that the grey relation entropy method has properties of the nonnegative, symmetry, extension extremism, and some other fine natures. The entropy relation grade still meets the four axioms of gray relation. We could use some natures for application's process to make...
Robust design is an important method to reduce variation and improve the performance of products or processes including static and dynamic quality characteristics. In the past, researchers focused on the static and linear dynamic quality characteristics. Recently, several researchers have begun to study robust design problems of nonlinear dynamic multiple responses. In this work an improved degree...
Product innovation is not only promoted by technology, but also promoted by demand. The article analyses the factors that affect product innovation after analyses product innovation model. The article also constructs a system dynamics model called ??product innovation-economic growth?? by using the principle of the Balanced Scorecard. Then use the model to plan, control and manage the product innovation...
Sci-tech innovative talents are special groups of talents, and have gradually been attached great importance by most countries in recent years. Now the Sci-tech job of Suzhou city has prominent achievements, and is leading in Jiangsu province and even in China, which will be useful implications to other provinces and cities. In this paper, the definition of sci-tech innovative talents is explored...
Based on the present theories of operators, this paper give a new result on the weakening buffer operator. f is a monotonously increasing function, g is its inverse function. If d is a weakening buffer operator, and x(k)d is made of x(k),..., x(n), k = 1, 2, ... n. If we substitute x(k) by f(x(k)), k=1, ..., n. The new result is m = [f(x(k))]d. If g(m) = e, then e is also a weakening buffer operator.
Multi-variable grey dynamic forecasting model is a main model of grey systems theory. In this paper, we constructed the discrete grey model of multi-variables. We contrasted the model with GM (n, h) model and the result showed two models are equal to each other through data transformation. Then we could build the bridge of discrete grey model and traditional grey model. Based on this conclusion we...
Based on the present theories of buffer operators, and the concept of back cumulative-sum, this paper proposed kinds of new buffer operators, studied their characters. When L is 1, they are Dang's strengthening buffer operators. In the end, studied the relationships of the data hand on by these two kinds of operators.
In this paper, the method of trigonometric-power function transformation against modeling standardized data is put forward. It has been proved that the smooth degree of data sequence can be improved. This function transformation can greatly improve the smooth degree more than logarithmic function transformation and power function transformation. So the method can widen the range of application of...
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