Under the axiomatic system of buffer operator in grey system,a class of new weakening buffer operators whose adjustable intensity can be changed are constructed based on the ‘new information priority principle’ of grey system.The new weakening buffer operators are as following:x(k)d1=x(k)(x(n)/x(k))α,0 < α < 1,k=1,2,…,n. The new weakening buffer operators are very concise in the form, and are very convenient in the practical application.Then their characters are studied.In view of different modeling background,data sequences with different strengthening effect can be generated by adjusting the parameters of the buffer operator.Finally, the buffer operator that was put forward in this paper was used to the total energy consumption in Henan province in 2003-2009.The calculation results show that these new weakening buffer operators can effectively improve the forecasting accuracy of GM (1,1) model.This can solve the problem that the quantitative prediction results do not tally with the qualitative analysis.
LIU Jie-fang, LIU Si-feng, FANG Zhi-geng
. A Class of New Weakening Buffer Operators Whose Adjustable Intensity Can be Changed and Their Applications[J]. Chinese Journal of Management Science, 2016
, 24(8)
: 172
-176
.
DOI: 10.16381/j.cnki.issn1003-207x.2016.08.021
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