求助，10个数据的灰色模型代码 - 数学建模社区-数学中国

function GM1=fungry1(x0) %输入原始数据x0& j5 w6 U& O: w5 A
T=input('T=');%从键盘输入从最后一个历史数据算起的第T时点9 Z }- n* P7 F& E) Y) X- y5 P
x1=zeros(1,length(x0));B=zeros(length(x0)-1,2);
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yn=zeros(length(x0)-1,1);Hatx0=zeros(1,length(x0)+T);
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Hatx00=zeros(1,length(x0));Hatx1=zeros(1,length(x0)+T);& J) D8 L3 E3 f( w/ h
epsilon=zeros(length(x0),1);omega=zeros(length(x0),1);
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for i=1:length(x0)6 ]; _! N) A2 O: h: |
for j=1:i
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x1(i)=x1(i)+x0(j);9 I+ _% V9 U( g# P4 v
end3 j1 B! B# ^( B: R, `2 Q+ _8 m! X7 v
end
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for i=1:length(x0)-1
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B(i,1)=(-1/2)*(x1(i)+x1(i+1));# l& r- A$ |6 W" n5 r
B(i,2)=1;
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yn(i)=x0(i+1);9 N) D/ d; A9 Y; h
end
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HatA=(inv(B'*B))*B'*yn % GM(1,1)模型参数估计6 H, o+ p. N) Z9 G5 q! b
for k=1:length(x0)+T8 H2 b+ o, |* x) \
Hatx1(k)=(x0(1)-HatA(2)/HatA(1))*exp(-HatA(1)*(k-1))+HatA(2)/HatA(1);
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end
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Hatx0(1)=Hatx1(1);
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for k=2:length(x0)+T
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Hatx0(k)=Hatx1(k)-Hatx1(k-1);%累计还原得到历史数据的模拟值1 i3 i$ W+ _% \7 O
end
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for i=1:length(x0) %开始模型检验0 j2 Q! w+ J2 B
epsilon(i)=x0(i)-Hatx0(i);
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omega(i)=(epsilon(i)/x0(i))*100;
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end
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% x0;Hatx0;epsilon;omega; %必要时去掉％得到各种数据 W9 X) D7 t3 y
c=std(epsilon)/std(x0);p=0;* V2 [4 |, ~6 F) m) g N
for i=1:length(x0)
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if abs(epsilon(i)-mean(epsilon))<0.6745*std(x0)2 c$ F, w2 x6 y% ^/ H# t0 j" `# U- K
p=p+1;2 m# H, \1 ~6 }
end
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end" F3 s7 n3 X9 U2 U) k: N g3 J
p=p/length(x0)+ G: J% @ s0 v# G' z' V
if p>0.95 & c<0.35
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disp('The model is good,and the forecast is:'),
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disp(Hatx0(length(x0)+T))8 p! J* W! U! @9 _6 O4 A
elseif p>0.85 & c<0.5: |/ Q! `. ?; Y
disp('The model is eligibility,and the forecast is:'),
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disp(Hatx0(length(x0)+T))$ I4 X" B+ G) f
elseif p>0.7 & c>0.65
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disp('The model is not good,and the forecast is:'),/ j$ U, n5 X0 ]/ V# w
disp(Hatx0(length(x0)+T))
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else p<=0.7 & c>0.65* T x8 m6 M. U$ N1 L) E
disp('The model is bad and try again')8 E! E3 u8 }' |, }
end
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for i=1:length(x0)
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Hatx00(i)=Hatx0(i);
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end
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z=1:length(x0);
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plot(z,x0,'-',z,Hatx00,':') %将原始数据和模拟值画在一个图上帮助观察" U4 U/ a; V( m2 \! d6 @9 {& T
text(2,x0(2),'History data: real line')
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text(length(x0)/2,Hatx00(length(x0))/2,'Simulation data:broken line')) @, l' K% _" B9 t0 _' e
end

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T=[2 3 4 5 3 2]1 I8 L! V) c$ Z
Warning: Input arguments must be scalar.
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> In fungry1 at 4
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Warning: Input arguments must be scalar.
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> In fungry1 at 5
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Warning: Matrix is singular to working precision.
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> In fungry1 at 17* L% S2 N% V! I9 p4 ^; W! T
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HatA =
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0
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p =
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0
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ans =! u# V5 J" D1 X9 ?3 a, o
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0
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The model is bad and try again& P! s; I6 j9 g( l1 x h0 W
??? Index exceeds matrix dimensions.
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Error in ==> fungry1 at 54
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text(2,x0(2),'History data: real line')
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