Advance in grey incidence analysis modelling

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 based on nearness into the models which consider similarity and nearness respectively. The objects of the research advanced from the analysis of relationship among curves to that among curved surfaces, and further to the analysis of relationship in three-dimensional space and even the relationship among super surfaces in n-dimensional space. The problems remained to be studied in this field are clarified too. Several research approaches of grey incidence analysis modeling are clearly revealed.

[1]  Yan Ma.  Study on the second grey relational grade and its properties , 2010, Kybernetes.

[2]  Liu Si-feng,et al.  Research on evaluations of several grey relational models adapt to grey relational axioms , 2009 .

[3]  Chen Wei.  Gray Decision Analysis in Confirming Airdrome Targets Striking Order , 2004 .

[4]  Liu Si-feng,et al.  The Parallel and Uniform Properties of Several Relational Models , 2007 .

[5]  Zhang Qi.  A new method for computing grey relational grade , 1999 .

[6]  Yong Zhao,et al.  The model of grey periodic incidence and their rehabilitation , 2008, 2008 7th World Congress on Intelligent Control and Automation.

[7]  Zhou Jing.  Application of Gray Vector Relational An alysis to Location of the Fault-phase on Transmission Line , 2005 .

[8]  Liu Si-feng.  Extended clusters of grey incidences for panel data and its application , 2010 .

[9]  Liu Si-feng,et al.  On new models of grey incidence analysis based on visual angle of similarity and nearness , 2010 .

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

[11]  Shen Mao-xing.  Researches on the Eensuring Operations Ability of Ground to Air Missile Weapon System Based on Grey Correlation Analysis , 2007 .

[12]  Pla Uni,et al.  Evaluation of defending efficiency in engineering based on improved grey interrelated analysis method , 2007 .

[13]  Liu Jin-ying,et al.  A Weight Absolute Grey Correlation Degree andIt ’s Application in Evaluation of Water Quality Miyun Reservoir , 2005 .

[14]  Yuan Ben-Jamin,et al.  Developing Grey Relational Analysis Model to Evaluate On-line Games , 2009 .

[15]  Guiwu Wei,et al.  Grey relational analysis model for dynamic hybrid multiple attribute decision making , 2011, Knowl. Based Syst..

[16]  Huan Guo,et al.  Optimization Method of Grey Relation Analysis Based on the Minimum Sensitivity of Attribute Weights , 2010 .

[17]  Yi Lin,et al.  Grey Systems: Theory and Applications , 2010 .

[18]  Cheng Wei-min.  Application of improved fuzzy grey correlation analysis to appraisal of factors influencing personal thermal comfort degree , 2005 .

[19]  Miao Xiaopeng,et al.  Study of the Vibration Control Method of Tapered Roller Bearings Based on Grey System Theory , 2006 .

[20]  Jeffrey Forrest,et al.  Novel models of grey relational analysis based on visual angle of similarity and nearness , 2011, Grey Syst. Theory Appl..