DocumentCode :
3073569
Title :
Study on Algorithm of Grey Numbers and Grey Algebraic System
Author :
Liu, Si-Feng ; Fang, Zhi-Geng
Author_Institution :
Nanjing Univ. of Aeronaut. & Astronaut., Nanjing
Volume :
3
fYear :
2006
fDate :
8-11 Oct. 2006
Firstpage :
2272
Lastpage :
2276
Abstract :
Algorithm of grey numbers and grey algebraic system is the theoretical basis of grey system theory. It is possessed of very important significance in the developing course of grey system theory. A definition for grey "Kernel" has been put forward. The axioms for algorithm of grey numbers and a grey algebraic system is built based on grey "Kernel" and the degree of greyness of grey numbers. And the properties of the algorithm are studied. Up to now, the algorithm of grey numbers has been transformed to algorithm of real numbers. So, the difficult problem for setting up algorithm of grey numbers and grey algebraic system has been solved to a certain degree. The algorithm of grey numbers could be extended to the case of algorithm of grey algebraic equation, grey differential equation and grey matrix. The algorithm system of grey numbers is also with great value for research on grey input-output and grey programming, etc.
Keywords :
algebra; differential equations; grey systems; matrix algebra; number theory; grey algebraic system; grey differential equation; grey matrix; grey number; grey system theory; real number; Acceleration; Algorithm design and analysis; Cybernetics; Differential algebraic equations; Differential equations; Educational programs; Helium; Kernel; Technological innovation;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Systems, Man and Cybernetics, 2006. SMC '06. IEEE International Conference on
Conference_Location :
Taipei
Print_ISBN :
1-4244-0099-6
Electronic_ISBN :
1-4244-0100-3
Type :
conf
DOI :
10.1109/ICSMC.2006.385200
Filename :
4274206
Link To Document :
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