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The following topics are discussed: grey systems and intelligent services; grey numbers and operations; grey incidence analysis; grey clustering; grey prediction; grey decision; fuzzy, ANN and rough set; and economy and management applications.
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 employment in many scientific areas are presented in this paper. We compare grey systems theory with other kinds of uncertain information such as stochastic uncertainty, uncertainty, fuzzy uncertainty and rough uncertainty. Then the advances...
Recent results of grey systems science are applied to the investigation of the relative degrees of importance of 22 variables affecting the individual or family decision-making of migration. Firstly, we show how to cluster the pre-determined variables into as few groups as needed. Secondly, we rank the groups in terms of their significance to the decision-making regarding labor migration. And thirdly,...
In this paper, we propose and develop a differential equation motivated regression model, abbreviated as DEMR model, which has a random fuzzy error structure for the facilitation of the modeling challenges facing small sample uncertainty, model translation caused misspecification uncertainty, and random sampling uncertainty. Different from common regression models as well as the one-variable first...
In this paper we extend our univariate DEMR model [6] rationale into multivariate differential equation motivated regression model, abbreviated as multivariate DEMR model. This model reserved the coupling rule intrinsic to univariate DEMR model. Also, we can regard multivariate DEMR model as an extension to Deng's [1 - 3] GM(1,N) model. However, the multivariate DEMR model has two features different...
In this paper, a grey polynomial interpolation (GPI) is developed and applied to reduce the block effect in low bit rate coding. The proposed approach consists of three stages: First, the input image is down sampled to reduce the amount of data. Second, the down sampled image is put into an image coder, such as the JPEG. Finally, the GPI is applied to enlarge the reconstructed image. Examples with...
In this paper, the problem of grey-degree for discrete and continuous bounded grey numbers and grey matrix is discussed in terms of the potency theory. Firstly, the idea of even and uneven discrete grey number are presented, then, applying the pre-treatment method of translation compression, that the uniform form of grey-degree for two class of grey numbers and grey matrix is given according to the...
Grey knowledge is refined from poor information. Grey statistical knowledge, which is a kind of grey knowledge, is introduced. It belongs to the category of classification knowledge. The grey characteristics of grey statistical knowledge and their measure are developed. Based on the principle of difference information entropy, the grey degree of grey statistical knowledge, which quantizes its grey...
In this paper, firstly, a consistency definition for interval numbers complementary judgment matrix and its consistency sufficient condition are proposed. Secondly, two priority methods for interval numbers complementary judgment matrix, which are least square method and linear goal programming method, are proposed. Thirdly, a new method for the creation of interval number comprehensive judgment matrix...
In order to estimate and control the project cycle of the new product research, the author introduces the interval grey numbers in grey system to the solution of the GERT network. Use the interval grey numbers to improve the network parameter flow, thus get the improved computation of the project cycle. Take overall design process of plane for example to carry on the research on the successful probability...
Weakening operator has been extensively applied in various fields of data processing before grey modeling in concussion harass system, this paper studies the reasons why the weakening operator can improve the modeling precision effectively. The results indicate that the class ratio of sequence transformed by the weakening operator is smaller than the observed original time series, the degree of smooth...
In this paper we review the small asymptotic theory, particularly, the saddlepoint approximation to the density of sample mean and M-estimator. Furthermore, we merge the univariate differential equation motivated regression model, abbreviated as DEMR model, into small sample asymptotic theory, which is called saddlepoint approximation with embedded DEMR model. Two cases are briefly considered: DEMR...
At present, people tend to do recreation without limitation on age. Although recreation can only be done while job finished, which recreation is most suitable for people still remain uncertain. Hence, we focus on this field and based on experts' experiences, we use a questionnaire to obtain the leisure participation grade of vocational school students. The contents of the questionnaire include 24...
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