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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On the position of intuitionistic fuzzy set theory in the framework of theories modelling imprecision
Glad Deschrijver,Etienne Kerre +1 more
TL;DR: This paper discusses the mathematical relationship between intuitionistic fuzzy sets and other models of imprecision.
Journal ArticleDOI
Forecasting the annual electricity consumption of Turkey using an optimized grey model
Coşkun Hamzaçebi,Hüseyin Avni Es +1 more
TL;DR: In this paper, the authors used Grey Modeling (1,1) to forecast the total electric energy demand of Turkey for the 2013-2025 period by using an optimized grey modeling (1-1) forecasting technique, which is implemented both in direct and iterative manners.
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Optimizing multiple quality characteristics via Taguchi method-based Grey analysis
TL;DR: In this paper, a modified Taguchi method was used for both detraining the optimum settings of machine parameters and combining multiple quality characteristics into one integrated numerical value called Grey relational grade or rank.
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A Comparative Study of Using Grey Relational Analysis in Multiple Attribute Decision Making Problems
TL;DR: This paper uses grey relational analysis (GRA) method in multiple attribute decision making (MADM) problems and the results from other methods are compared including the technique for order preference by similarity to ideal solution and operational competitiveness rating method.
Journal ArticleDOI
Material selection using preferential ranking methods
TL;DR: In this paper, the authors focus on the application of four preference ranking-based multi-criteria decision-making (MCDM) methods for solving a gear material selection problem, which are extended PROMETHEE II (EXPROM2), complex proportional assessment of alternatives with gray relations (COPRAS-G), ORESTE (Organization, Rangement Et Synthetse De Donnes Relationnelles) and operational competitiveness rating analysis (OCRA) methods.
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.