Title :
Advance in grey incidence analysis modelling
Author :
Liu, Sifeng ; Cai, Hua ; Cao, Ying ; Yang, Yingjie
Author_Institution :
Inst. for Grey Syst. Studies, Nanjing Univ. of Aeronaut. & Astronaut., Nanjing, China
Abstract :
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.
Keywords :
grey systems; curved surfaces; generalized grey incidence analysis models; grey incidence analysis modelling; incidence coefficients; measure similarity; n-dimensional space; super surfaces; systematic carding; three-dimensional space; Analytical models; Biological system modeling; Computational modeling; Correlation; Educational institutions; Systematics; absolute degree of grey incidence; incidence coefficient; n-dimensional incidence space; nearness; similarity;
Conference_Titel :
Systems, Man, and Cybernetics (SMC), 2011 IEEE International Conference on
Conference_Location :
Anchorage, AK
Print_ISBN :
978-1-4577-0652-3
DOI :
10.1109/ICSMC.2011.6083947