A historical introduction to grey systems theory

In this paper, firstly, we take a look at the state of theory and applications of the grey systems theory founded by Professor Deng Jit-long in the 1980's. Then, the scientific background on which the grey systems theory came into being, basic concepts, the main content of the theory are presented. A comparison between the grey systems theory and stochastic analysis and fuzzy mathematics is made. As a new research with strong capabilities to transect across and to permeate into various traditional scientific fields and disciplines, the astonishing progress the grey systems theory has made in the world of learning and its wide range employment in such scientific areas as industry, agriculture, economics, energy, transportation, geography, geology, meteorology, hydraulic power, ecology, environment studies, medicine, education, military science, finance, life sciences et al. is presented. Lastly, the further study advices for grey systems theory is put forward.

[1]  Yo-Ping Huang,et al.  A genetic-based fuzzy grey prediction model , 1995, 1995 IEEE International Conference on Systems, Man and Cybernetics. Intelligent Systems for the 21st Century.

[2]  Yi Lin,et al.  A SYSTEMIC ANALYSIS WITH DATA (II) , 2000 .

[3]  Liu Si,et al.  Optimum Time Response Sequence for GM(1,1) , 2003 .

[4]  Cheng-Hsiung Hsieh Grey Neural Network and Its Application to Short Term Load Forecasting Problem , 2002 .

[5]  Ruey-Hsun Liang Application of grey relation analysis to hydroelectric generation scheduling , 1999 .

[6]  Yi-Fan Wang,et al.  Predicting stock price using fuzzy grey prediction system , 2002, Expert Syst. Appl..

[7]  Chien-Hsin Chou A variable structure controller based on the grey prediction technology , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[8]  Y. Tamura,et al.  Interval prediction of annual maximum demand using grey dynamic model , 1996 .

[9]  Chiu-Chi Wei,et al.  Failure mode and effects analysis using grey theory , 2001 .

[10]  Zhao Liang,et al.  The G‐C‐D model and technical change , 2004 .

[11]  YI LIN,et al.  A SYSTEMIC ANALYSIS WITH DATA (I) , 2000 .

[12]  Ping Qin,et al.  Detection of Gross Measurement Errors Using the Grey System Method , 2002 .

[13]  Ni-Bin Chang,et al.  Stability analysis of grey compromise programming and its application to watershed land-use planning , 1999, Int. J. Syst. Sci..

[14]  Yo-Ping Huang,et al.  The identification of fuzzy grey prediction system by genetic algorithms , 1997, Int. J. Syst. Sci..

[15]  Nuaa Nanjing,et al.  A Determination of Hazard and Alert Time for an Aircraft Flying in Wind-Shear Field , 1994 .

[16]  Yen-Chang Chen,et al.  Reservoir operation using grey fuzzy stochastic dynamic programming , 2002 .

[17]  Li Tong,et al.  Multi-response optimization using principal component analysis and grey relational analysis , 2002 .

[18]  Yo-Ping Huang,et al.  The integration and application of fuzzy and grey modeling methods , 1996, Fuzzy Sets Syst..

[19]  Ren C. Luo,et al.  Target tracking using a hierarchical grey-fuzzy motion decision-making method , 2001, IEEE Trans. Syst. Man Cybern. Part A.

[20]  N. B. Chang,et al.  Grey input-output analysis and its application for environmental cost allocation , 2003, Eur. J. Oper. Res..

[21]  Rui Zou,et al.  AN INDEPENDENT VARIABLE CONTROLLED GREY FUZZY LINEAR PROGRAMMING APPROACH FOR WASTE FLOW ALLOCATION PLANNING , 2000 .

[22]  Hong-Tzer Yang,et al.  Power system yearly peak load forecasting: a grey system modeling approach , 1995, Proceedings 1995 International Conference on Energy Management and Power Delivery EMPD '95.

[23]  Ping Xue APPLICATION OF GREY SYSTEM THEORY TO PROCESSING OF MEASURING DATA IN REVERSE ENGINEERING , 2003 .

[24]  Yen-Tseng Hsu,et al.  A novel image compression using grey models on a dynamic window , 2000, Int. J. Syst. Sci..

[25]  Yi Lin,et al.  Several programming models with unascertained parameters and their applications , 1999 .

[26]  Jyh-Horng Chou,et al.  Optimal grey-fuzzy controller design for a constant turning force system , 2002 .

[27]  H. C. Kuo,et al.  A real-time shipboard fire-detection system based on grey-fuzzy algorithms , 2003 .

[28]  C. Fu,et al.  Application of grey relational analysis for corrosion failure of oil tubes , 2001 .