Title :
On grey-degree of bounded grey number
Author :
Han, Jin-fang ; An, Cun-ran
Abstract :
In this paper, the problem of grey-degree for discrete and continuous bounded grey numbers and grey matrix is discussed in terms of the potency theory. Firstly, the idea of even and uneven discrete grey number are presented, then, applying the pre-treatment method of translation compression, that the uniform form of grey-degree for two class of grey numbers and grey matrix is given according to the size of whitened value´s value field, and the reasonableness is expounded by propose two theories. This form can reflects completely and objectively the grey degree of bounded grey number. Besides, the meaning of central whitened matrix is illustrated with a concrete example.
Keywords :
grey systems; matrix algebra; number theory; central whitened matrix; continuous bounded grey number; discrete bounded grey number; grey degree; grey matrix; potency theory; translation compression; Concrete; Helium; Intelligent systems;
Conference_Titel :
Grey Systems and Intelligent Services, 2007. GSIS 2007. IEEE International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-1294-5
Electronic_ISBN :
978-1-4244-1294-5
DOI :
10.1109/GSIS.2007.4443232