TY - GEN
T1 - Advance in grey incidence analysis modelling
AU - Liu, Sifeng
AU - Cai, Hua
AU - Cao, Ying
AU - Yang, Yingjie
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=83755186447&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=83755186447&partnerID=8YFLogxK
U2 - 10.1109/ICSMC.2011.6083947
DO - 10.1109/ICSMC.2011.6083947
M3 - Conference contribution
AN - SCOPUS:83755186447
SN - 9781457706523
T3 - Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
SP - 1886
EP - 1890
BT - 2011 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2011 - Conference Digest
T2 - 2011 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2011
Y2 - 9 October 2011 through 12 October 2011
ER -