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x00 |1 X2 `& x( v
T=input('T=');%从键盘输入从最后一个历史数据算起的第T时点
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x1=zeros(1,length(x0));B=zeros(length(x0)-1,2);7 e! y. s" m/ V2 m2 X: Z+ F$ M
yn=zeros(length(x0)-1,1);Hatx0=zeros(1,length(x0)+T);' `% u0 r: T" ~8 h/ l8 @
Hatx00=zeros(1,length(x0));Hatx1=zeros(1,length(x0)+T);) k4 {6 w/ k ^0 w- P% s% l
epsilon=zeros(length(x0),1);omega=zeros(length(x0),1);
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for i=1:length(x0)6 E% H2 v4 }* @1 z3 _/ T
for j=1:i
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x1(i)=x1(i)+x0(j);
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end5 b4 ] |4 _. p Z
end; [4 d7 {/ j" T! v' F! h8 k: ~9 r% `
for i=1:length(x0)-1
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B(i,1)=(-1/2)*(x1(i)+x1(i+1));3 s7 D) Z2 F; M- @" o: z& I0 ^
B(i,2)=1;
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yn(i)=x0(i+1);
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end% S( w6 Q- \. Q$ N! ?5 S+ m
HatA=(inv(B'*B))*B'*yn % GM(1,1)模型参数估计) Y$ W9 i9 O' j" m
for k=1:length(x0)+T
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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* T: }% l8 C! K3 L+ x: F
end' ?/ A w! e; K) q/ E9 b: L; I/ s
for i=1:length(x0) %开始模型检验% O! j0 j) [( ~6 A. {
epsilon(i)=x0(i)-Hatx0(i);
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omega(i)=(epsilon(i)/x0(i))*100;
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end4 i& R% @8 @/ W" S- @" c- |) V
% 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;9 @( [1 L6 @! d8 A( t) F. G3 p
for i=1:length(x0)% X8 O' q ]9 z$ m) |3 B! e
if abs(epsilon(i)-mean(epsilon))<0.6745*std(x0)
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p=p+1;
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end$ J4 U: d7 `* i$ ^# E
end" i5 a* K4 c# X; \* g! V0 V
p=p/length(x0)7 ?8 {% D$ a/ }- \; A( o# g) y
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))
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elseif p>0.85 & c<0.5& M# O5 l$ c6 I A, U" P
disp('The model is eligibility,and the forecast is:'),0 A# e( P/ Y8 h! C0 N
disp(Hatx0(length(x0)+T))3 Y }/ {/ r' B! O# Q0 h
elseif p>0.7 & c>0.65 {7 A+ b, _' f4 j8 `
disp('The model is not good,and the forecast is:'),/ x% ^- ?. `* k. |5 [
disp(Hatx0(length(x0)+T))
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else p<=0.7 & c>0.65
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disp('The model is bad and try again')1 J6 s" V! I, o( [
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
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text(2,x0(2),'History data: real line')7 W- M1 s6 t( T N( T
text(length(x0)/2,Hatx00(length(x0))/2,'Simulation data:broken line')) y2 A4 f) \$ u3 c( Q) C: I! i
end

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T=[2 3 4 5 3 2]
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Warning: Input arguments must be scalar.
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> In fungry1 at 4# x' |6 L' z3 p" T; ~. H# W
Warning: Input arguments must be scalar.% e K7 a& l' S0 G2 k& a7 B% |
> In fungry1 at 5
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Warning: Matrix is singular to working precision.
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> In fungry1 at 171 Z7 C1 U x. c1 v1 v4 n
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HatA =
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0
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p =9 K0 z, i% b* f
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ans =
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o0 a7 r! g6 n* H3 n' R9 j
0
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The model is bad and try again
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??? Index exceeds matrix dimensions.; J( b+ d# N' S! ]
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Error in ==> fungry1 at 54 z5 F$ u# P) ?' V' n' T8 H: ]) c8 f
text(2,x0(2),'History data: real line')
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