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
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T=input('T=');%从键盘输入从最后一个历史数据算起的第T时点1 g: e2 \' o8 m+ ^% H$ M& n+ `
x1=zeros(1,length(x0));B=zeros(length(x0)-1,2);! ?& _3 t( u1 V! z+ ?
yn=zeros(length(x0)-1,1);Hatx0=zeros(1,length(x0)+T);3 V# R4 J, _5 z$ D
Hatx00=zeros(1,length(x0));Hatx1=zeros(1,length(x0)+T);
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epsilon=zeros(length(x0),1);omega=zeros(length(x0),1);* Q/ d9 R5 `9 _, Q
for i=1:length(x0)
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for j=1:i
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x1(i)=x1(i)+x0(j);+ Z4 L/ q' O- O3 t
end
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end
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for i=1:length(x0)-15 h, @9 c+ C/ M+ [' X4 P
B(i,1)=(-1/2)*(x1(i)+x1(i+1));6 Z+ \; g' z7 M& e) J" T
B(i,2)=1;
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yn(i)=x0(i+1);
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end
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HatA=(inv(B'*B))*B'*yn % GM(1,1)模型参数估计9 h: K& m: T) x5 y' M8 {" x
for k=1:length(x0)+T1 Z; ~6 h, y) P+ m* V
Hatx1(k)=(x0(1)-HatA(2)/HatA(1))*exp(-HatA(1)*(k-1))+HatA(2)/HatA(1);
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end* r, Y+ ^; W: D9 I6 z2 D2 |4 y
Hatx0(1)=Hatx1(1);1 }. n; f. v; }9 T5 _# f3 u- p
for k=2:length(x0)+T9 [6 ]$ u$ x2 n- B1 M8 l
Hatx0(k)=Hatx1(k)-Hatx1(k-1);%累计还原得到历史数据的模拟值
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end7 R" j% t. U; x6 {) n
for i=1:length(x0) %开始模型检验
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epsilon(i)=x0(i)-Hatx0(i);
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omega(i)=(epsilon(i)/x0(i))*100;( U4 D. Q$ v2 t ~
end5 L+ ~" ^+ g" a" w7 {. [
% x0;Hatx0;epsilon;omega; %必要时去掉％得到各种数据
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c=std(epsilon)/std(x0);p=0;
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for i=1:length(x0)
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if abs(epsilon(i)-mean(epsilon))<0.6745*std(x0)
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p=p+1;1 q4 Z2 A2 l" G2 f
end, d( H* z3 M' K" T5 l# M- B$ y
end
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p=p/length(x0)) r. t- V+ G" ^5 `- a
if p>0.95 & c<0.357 z) q; |& U/ z: n& q% ~# c3 v
disp('The model is good,and the forecast is:'),& [( I1 |0 Q0 u4 [/ T
disp(Hatx0(length(x0)+T))
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elseif p>0.85 & c<0.51 R' x# f. _- `+ Y$ ^8 L
disp('The model is eligibility,and the forecast is:'),
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disp(Hatx0(length(x0)+T))3 W" v3 G; S k7 b4 ?
elseif p>0.7 & c>0.65
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disp('The model is not good,and the forecast is:'),
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disp(Hatx0(length(x0)+T))
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else p<=0.7 & c>0.650 c8 ^0 o0 Q2 h3 A' E4 w m, z
disp('The model is bad and try again')0 h' _! _, x$ O2 s2 T- g
end5 m8 x& P" Y. O4 \) l3 Y
for i=1:length(x0)
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Hatx00(i)=Hatx0(i);
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end) ?( f' L! i! x3 t2 Z
z=1:length(x0);4 T; H: c* Y! V! r
plot(z,x0,'-',z,Hatx00,':') %将原始数据和模拟值画在一个图上帮助观察& @2 F8 U5 k; | v. ^/ L: ^$ x
text(2,x0(2),'History data: real line')+ _, ?) a) I" D9 C; z3 {0 O: j
text(length(x0)/2,Hatx00(length(x0))/2,'Simulation data:broken line')
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end

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T=[2 3 4 5 3 2]
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Warning: Input arguments must be scalar.5 R- \! U) o/ ~: N" h, ]! u4 R
> In fungry1 at 4+ V- b/ X( s/ L$ m! R
Warning: Input arguments must be scalar.2 k* N* F3 v ?* |; [4 \+ @
> In fungry1 at 5
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Warning: Matrix is singular to working precision.9 e& l- w/ P4 g+ Q( R
> In fungry1 at 17/ r: c, _! ]4 W
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HatA =: d$ e& Y. c! E& k
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p =
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ans =: G2 @" `) s( B+ Z4 ^
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0
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The model is bad and try again
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??? 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')6 l, n! N# z$ l z/ U
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