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The relationship between the economic growth and foreign direct investment (FDI) has been the concern of the researchers. The grey Lotka-Volterra model is employed to analyze the relationship between the gross domestic products (GDP) and FDI in Ningbo from 1999 to 2007. The discrete Lotka-Volterra model is applied to predict the GDP and the FDI in Ningbo respectively. The results demonstrate that...
The progress in grey system research is summarized. The four theories of uncertain systems — probability statistics, fuzzy mathematics, grey system, and rough set theory — are compared. The general grey numbers, the grey sequence operators and several grey system models, which are most commonly used, are introduced, such as the absolute degree of grey incidence model, the grey cluster model based...
There exists extensively quality inspection of small sample conditions in complex equipment manufacturing industry. For small batch production samples less data, product quality information, this paper designs a maximum entropy of virtual manufacturing system based on small samples, by analyzing the statistical law of actual product development process, according to the maximum entropy criterion....
To consider the efficiency in determining quality investment and cost-share in the manufacturer-supplier cooperative development for complex products, a minimum maximization model is build. To achieve this aim, expressions of quality level, quality-gain and cost are all proposed first. Then cost-sharing by Shapley value method is given. Next, the cooperative efficiency is defined, and the minimum...
A novel matrix solution is developed for the zero-sum game concerning uncertain information. Specifically, a new functional model for the game with grey information is introduced, which contains uncertain variables because of information shortage. Additionally, the matrix solution is designed for the functional model in which the players' optimal probabilities of mixed strategies and optimal profits...
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...
This article compared and analyzed the research of informationization and industrialization of China and foreign; And learn from the Capability Maturity Model theory and evaluation criteria, proposed maturity grading standard of the integration of the two (the integration of informationization and industrialization); Then the maturity evaluation index system of the integration of the two was constructed,...
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...
Based on the priority principle of new information in grey system theory, the classicial GM(1,1) model is improved in this paper in which both the nth component and the n−1th component are considered priority, respectively. The nth component is more prior than the n−1th component, and similarly, the 2th component is more prior than the 1th component, so new information priority principle grey model...
An extension definition of affine properties of grey relational analysis models is presented in this paper, and referenced sequence to simplify the proof is discussed in details. With the proposed definition, if the original sequence and transformed sequence have the same degree of grey correlation to the referenced sequence, the conclusion can be drawn that the proposed model satisfies the invariance...
A grey set can have its characteristic function values restricted by grey numbers, and such a representation makes the operations of grey sets different from other sets. Based on the new concept of whitenisation of grey sets, a series of operations of grey sets are defined and the difference between grey sets and interval-valued fuzzy sets is illustrated.
With the rapid economic growth, Chinese energy consumption sharply increased in recent years. To get sufficient energy, China has made a lot of efforts to develop non-fossil energy. This paper investigated the relationship among non-fossil energy consumption, economic growth, and coal price by cointegration and impulse respond function. The numerical results show that higher coal price will spur the...
Some methods have been developed to calculate the interval efficiencies of decision making unit (DMU) in DEA model with interval data, in which there are two shortcomings. One is that the evaluated DMU and referenced DMUs are not be dealt with fairly, as they are not counterparts in locations of inputs and outputs within possible ranges. Another is that efficiency intervals may be too wide to provide...
This study concentrates on the cost prediction of commercial aircraft which is a crucial factor influencing its research and manufacturing. To tackle the situation that the cost-related information is difficult to get in the designing stage, a cost prediction and simulation model of commercial aircraft called GI-GM(0,N) is constructed based on grey incidence weight. A host of cost values of aircraft...
A new grey incidence method is proposed to address the uncertain multiple attribute decision making problem with three-parameter interval numbers and unknown weights. A distance function of three-parameter interval numbers is defined, base on which the grey incidence coefficient. Then the attributes' weights are calculated according to the minimum deviation theory, and the degrees of grey incidence...
Algorithm of grey numbers and grey algebraic system is the theoretical basis of grey system theory. It is possessed of very important significance in the developing course of grey system theory. A definition for grey “Kernel” has been put forward first. The algorithm axiom, algorithm rules of interval grey numbers and a new algebraic system is built based on the “Kernel” and the degree of greyness...
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...
Existing study on grey target decision-making methods mainly for the cases when the decision-making information is real numbers or grey interval numbers. In the case when the decision-making information is three-parameter interval grey numbers, existing grey target decision-making methods can no longer solve such problems. So, based on the characteristics of three-parameter interval grey numbers and...
Fateful stampede accident has become one of hot spots in public security field because of its sudden and serious consequence. Actual cases show that crowding is not a sufficient condition for fateful stampede accident, but a necessary condition. Some emergencies play a role of trigger in stampede accident, such as fire, explosion, individual injury, earthquake, etc. Evolution mechanism of fateful...
A model which meets the law of grey exponent has been constructed for sequences based on the analysis of modeling mechanism in grey systems theory. And data in these sequences also meet the law of grey exponent. After the model is constructed, we make some simulations and present a numerical example. The result indicates that the prediction accuracy from this new model is much higher than that from...
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