Advances in grey systems theory and its 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 in grey systems theory and its applications are introduced by algorithms of grey numbers and grey algebraic systems, grey dynamic models and grey predictions, grey optimization analysis for decision-making, grey control models individually. We think that people engage in grey systems theoretical research should welcome and take all criticisms seriously. By doing so, existing problems and flaws can be overcome unceasingly, the new growing point be excavated unceasingly, exploring unceasingly, innovating unceasingly, make the grey systems theory grow upward unceasingly.

[1]  Deng Ju-Long,et al.  Control problems of grey systems , 1982 .

[2]  R. Lewis,et al.  On the optimization concept of grey systems , 1993 .

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

[4]  Yo-Ping Huang,et al.  Identifying the fuzzy grey prediction model by genetic algorithms , 1996, Proceedings of IEEE International Conference on Evolutionary Computation.

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

[6]  Mei-Li You,et al.  The grey entropy and its application in weighting analysis , 1998, SMC'98 Conference Proceedings. 1998 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.98CH36218).

[7]  CHING-CHANG WONG,et al.  A simulated annealing approach to switching grey prediction fuzzy control system design , 1998, Int. J. Syst. Sci..

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

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

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

[11]  Sifeng Liu,et al.  Law of exponentiality and exponential curve fitting , 2000 .

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

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

[14]  Wu Guo.  Positioning the Center of a Subtle Oil-Gas Trap by Grey BP Neural Network , 2002 .

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

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

[17]  Zhang Qi-shan.  Genetic Algorithm-Based Optimization of the Distinguishing Coefficient in Relational Analysis , 2003 .

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

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

[20]  Robert Vallée,et al.  Cybernetics and systems, from past to future , 2003 .

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

[22]  Liu Sifeng,et al.  Trend testing of grey dynamic models , 2004, 2004 IEEE International Conference on Systems, Man and Cybernetics (IEEE Cat. No.04CH37583).

[23]  Sifeng Liu,et al.  Trend testing of grey dynamic models , 2004, SMC.

[24]  Sifeng Liu,et al.  On index system and mathematical model for evaluation of scientific and technical strength , 2006 .

[25]  Sifeng Liu,et al.  Study on a New Definition of Degree of Grey Incidence , 2006 .

[26]  Yi Lin,et al.  Grey Information - Theory and Practical Applications , 2005, Advanced Information and Knowledge Processing.

[27]  Brian H. Rudall.  Kybernetes: The International Journal of Systems, Cybernetics and Management Science , 2007 .

[28]  Wei Yong.  Two Effective Methods of Solving Approximately the Parameter of GM(1,1) , 2007 .