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The problems which remain for further studying in grey system theory are identified. Including the synthesis axiom of degree of greyness for “multiplication” and “division”, how to construct and select a suitable buffer operator? how to select and test a grey prediction model? how to build a negative grey incidence analysis models? the test rules and criteria of grey clustering evaluation models,...
A systematic carding on the research of grey incidence analysis modeling has been made in this paper. The grey incidence analysis models developed from the models based on incidence coefficients of each point in the sequences in early days to the generalized grey incidence analysis models based on integral or overall perspective. It evolved from the grey incidence analysis models which measure similarity...
The scientific background that grey systems theory comes into being, the astonishing progress that grey systems theory has made in the world of learning and its wide-ranging applications in the entire spectrum of science, and the characteristics of unascertained systems include incomplete information and inaccuracies in data are presented in this paper. The scientific principle of simplicity and how...
Degree of Grey incidence is the parameter to describe the relationship between the factors. Many researchers have researched it and created several degree of grey incidence models. The simplest relation between the factors is linear correlation, so degree of grey incidence should measure linear correlation. This article calculates the degree of grey incidences by different models when the factors...
From the perspective of efficient market, the existence of anomalies in securities business indicates the lack of market efficiency in China. This paper puts forward a forming model of anomalies in securities market under rational human being hypothesis. It employs some models to analyze the formation mechanism of securities business of overreaction and under reaction with simulation method and theoretical...
Sci-tech innovative talents have been most important sources for Jiangsu province, and prominent achievements of Sci-Tech jog have been made. In this paper, the definition of Sci-tech innovative talents is explored first, and the gap between demand and supply of Jiangsu Sci-tech innovative talents is predicted based on GM (1, 1). Lastly, some policy suggestions are proposed.
Based on study on references concerned, the critical factors affecting real estate prices in Shanghai are determined in this paper according to Grey incidence as well as Grey clustering principle. Afterwards, the regression model on real estate prices in Shanghai and other related variables is established with data collected from 1994 to 2008 and the real estate prices between 2009 and 2013 have been...
Being different from the typical direct modeling method and optimizing methods of background value, we use trapezoid formula and central difference quotient methods to whiten grey derivative and propose a grey modeling method for non-equidistant sequence based on the criteria of the minimum square error sum. The results show that the new model's fitting precision and prediction precision is improved.
Considering the uncertainty of information, the paper puts forward an improved grey dynamic programming model. After that, treating profit value as positive interval grey number, the paper researches on dynamic programming model, and we could get the optimal strategy after solution by means of defining standard interval grey number. Furthermore, as we can not make the judgment of standard interval...
Grey relational analysis is an important part of the grey systems theory, and it is the basis of the grey clustering analysis, grey decision-making and grey controlling. In this paper, we provided the definitions of parallel, uniform and order-keeping properties. We constructed a new grey relational model. By theoretical proving we knew that the model is not only satisfied to the normality, whole...
The essence of traditional incidence model is incidence analysis based on the certain real, which can not handle incidence analysis among uncertain number sequences. This article gives a calculation model of grey absolute incidence degree between uncertainty sequence data based on interval grey number expression. The model can analyze the incidence degree of two interval grey sequences groups which...
This paper uses game theory, analyses the relevant enterprises and the government's different motives and the behavior of game in the process of the ecological industrial chain forming, then conceives the incomplete information dynamic grey game model and identifies the optimal strategic combination between the government and enterprises. Based on the analysis of the game, get the government and the...
A gray input-output model based on the standard interval grey number, the condition of convergence of M steps grey matrix and the solution method were given, then produced the corresponding mathematics proof in this paper. The model and solution method obtained a good result in the solution process of the gray input-output model. Finally, the validity and feasibility of this model was confirmed when...
It is a typical economic rule that productivity of science and technology is allocated on different levels by the effect of technology elements, and the flow of scientific and technological is one of hot problems in academic circles. Based on the perfect mechanism, the paper establishes a linear programming model of effect of technology elements flow, under the restrict conditions of resources available,...
Grey incidence model determines the closeness degree from the closeness and similarity of statistical sequencepsilas geometrical form. Traditional grey incidence model calculates statistical sequencepsilas correlation degree from the perspectives of its acreage, slope, changing velocity, etc. These incidence models have dual influences exerted by horizontal and vertical coordinates. Subsequently,...
When the forecast model is to be established, the problem is often confronted that the more the sample data is, the worse the precision is. Based on the geometric sequence, the paper probes the influence on the error of the simulation value exerted by different sample numbers. The paper studies the relation between the growth rates of the primary sequence, development coefficient and the growth rates...
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