Introduction to Grey system theory
TLDR
The Grey Systeni and its applications are interdisciplinary, cutting across a variety of specialized fields, and it is evident that Grey System theory stands the test of time since 1982 as mentioned in this paper.Abstract:
Grey System theory was initiated in 1982 [7]. As far as information is concerned, the systems which lack information, such as structure message, operation mechanism and behaviour document, are referred to as Grey Systems. For example, the human body, agriculture, economy, etc., are Grey Systems. Usually, on the grounds of existing grey relations, grey elements, grey numbers (denoted by 8 ) one can identify which Grey System is, where \"grey\" means poor, incomplete, uncertain, etc. The goal of Grey Systeni and its applications is to bridge the gap existing between social science and natural science. Thus, one can say that the Grey System theory is interdisciplinary, cutting across a variety of specialized fields, and it is evident that Grey System theory stands the test of time since 1982. As the case stands, the developn~ent of the Grey System-as well as theoretical topic-is coupled with clear applications of the theory in assorted fields. The conccept of the Grey System, in its theory and successful application, is now well known in China. The application fields of the Grey System involve agriculture [23, 77-81, 911, ecology [59], economy [61, 102, 103, 1041, meteorology [58, 74,911, medicine [55, 891, history [63, 641, geography [I], industry [61, earthquake [73, 87, 881, geology [76, 1 191, hydrology [98, 1 121, irrigation strategy [261, military affairs, sports [116], traffic [67], management [30, 97, 1051, material science [82, 831, environment [ 1081, biological protection [69,70], judicial system [loo], etc. Projects which have been successfully completed with the Grey System theory and its applications are as follows: 1. Regional econonlic planning for several provinces in China; 2. To forecast yields of grain for some provinces in China:read more
Citations
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A model of discrete zero-sum two-person matrix games with grey numbers to solve dispute resolution problems in construction
TL;DR: In this paper, the conflicts between contractor and employer in delayed Design-Bid-Build projects have been studied and a dispute resolution method has been proposed to resolve the conflicts in a discrete zero-sum two-person matrix game with grey numbers.
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Multi-objective optimization of upsetting parameters of Al–TiC metal matrix composites: A grey Taguchi approach:
TL;DR: In this paper, the grey taguchi analysis has been used to optimize the levels of input process variables, namely aspect ratio, friction factor and load, in cold upsetting of Al-TiC metal matrix composites.
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Relational analysis between parameters and defects for electron beam welding of AZ-series magnesium alloys
TL;DR: In this article, the influence of electron beam welding parameters on weldment strength and defect formation was analyzed by linking Taguchi's method with the grey relational analysis, and the relationship between welding parameters and defect dimensions can also be obtained this way.
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Evaluating the interrelationships among inhibitors to intermodal railroad freight transport in emerging economies: A multi-stakeholder perspective
Aalok Kumar,Ramesh Anbanandam +1 more
TL;DR: In this article, a structural model of IRR freight transport inhibitors interrelationships with a case of the Indian freight industry is presented, where the considered stakeholders in the present research are academic researchers, freight shippers, and Indian Railways officials.
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Forecasting and analyzing the competitive diffusion of mobile cellular broadband and fixed broadband in Taiwan with limited historical data
TL;DR: In this paper, the authors applied Grey system theory to predict the diffusion of mobile cellular broadband and fixed broadband in Taiwan since grey system theory has a characteristic which requires very limited primitive data (the least 4 data) to build a differential forecasting model.
References
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Journal ArticleDOI
Control problems of grey systems
TL;DR: In this paper, the stability and stabilization of a grey system whose state matrix is triangular is studied and the displacement operator and established transfer developed by the author are the indispensable tool for the grey system.
Book ChapterDOI
Grey Decision Making and its Use for The Determination of Irrigation Strategies
TL;DR: The derivation of an irrigation strategy for the People’s Victory Channel is outlined, and experience of recent years proves that the effectiveness of this strategy is satisfactory.
Journal Article
The least parameters controller of decentralized control system
TL;DR: In this article, the existential theorem and the transfer function of the most economical controller by which the poles assignment for the given system may be obtained, are proposed, and the simplest structure and the least parameters controller to stabilize the given decentralized control system are studied.
Journal Article
Sufficient Condition for Stability of Grey Systems and Its Application in the Analysis of Stability of Linear Time-Varying Systems
TL;DR: In this article, the problem of stability of grey linear time-invariant systems is investigated in virtue of the properiest of non-negative irreducible matrices, and the sufficient criterion for stability of gray linear time invariant systems are given, which is helpful to the analysis of the stability of line-time-varying systems as well as grey systems.