Title :
A model of the expanded grey theory
Author :
Fan, S.H. ; Xiao, T.Y. ; Guo, C. ; Jie, Wen
Author_Institution :
Dept. of Autom., Tsinghua Univ., Beijing, China
Abstract :
It was a great process to develop from Cantor sets theory to fuzzy theory and grey theory. Based on the process, the author analyzed the essence of grey as viewed from philosophy-mathematics field. Then the grey theory was expanded to higher orders and a hierarchical description was given out. In the description, there existed two indexes (degree of greyness and degree of fuzziness). Finally, based on it, the author bought forward three useful simplified model-building methods. These methods can be added into many advanced methods, such as artificial neural networks and genetic algorithms.
Keywords :
fuzzy set theory; grey systems; modelling; Cantor sets theory; degree of fuzziness; degree of greyness; expanded grey theory; fuzzy theory; model building methods; Artificial neural networks; Automation; Cognition; Fuzzy set theory; Fuzzy sets; Genetic algorithms; History; Mathematics; Set theory; Uncertainty;
Conference_Titel :
Networking, Sensing and Control, 2004 IEEE International Conference on
Print_ISBN :
0-7803-8193-9
DOI :
10.1109/ICNSC.2004.1297459
