灰色系统GM模型PPT学习教案

1、会计学1灰色系统灰色系统GM模型模型0000(1),( 2 ),()Xxxxn1111(1),( 2 ),()Xxxxn01( )( )xkaxkb, a b第1页/共24页0000(1),( 2 ),()Xxxxn1111(1),( 2 ),()Xxxxn1111( 2 ),(3 ),()Zzzzn1111()()(1)1, 2 ,2zkxkxkkn；01( )( )xkaz kb第2页/共24页0000(1),(2 ),()Xxxxn1111(1),( 2 ),()Xxxxn101( )( )1,2,kix kxikn；1Z1X1111( 2 ),(3 ),()Zzzzn1111( )(

2、( )(1)1,2,2z kx kx kkn1X0X第3页/共24页 , Taa b010101(2)(2)1(3)(3)1,( )( )1xZxZYBx nZ n01( )( )x kaz kb1 , ()TTTaa bB BB Y第4页/共24页0X1X0X1Z1X11d xa xbd t01( )( )x kaz kb第5页/共24页, ,B Y a1 , ()TTTaa bB BB Y11101()(1)d xa xbd txtx 11( )(1)atbbx txeaa01( )( )x kaz kb 10(1)(1)1,2,akbbx kxeknaa第6页/共24页 0110(1)(

3、1)( )11;1,2,aakxkx kx kbexekna第7页/共24页第8页/共24页0000(1),( 2 ),()Xxxxn 00001 ,2 ,Xxxxn 00000000001 ,2 ,(1)1 ,(2)2 ,( )nxxxxxnxn 00000012,112knnxxxn第9页/共24页kn 00kkxkk11nkkn 11kn 且k第10页/共24页0X0X0X0X0000X0X00X0X 202011111,nnkkxxkSxkxnn0X 202021111,nnkkkSknn第11页/共24页21sCs00C 0CC 010.6745ppkS00p 0pp第12页/共24

4、页00C0p 指标精度等级相对误差关联度均方差比值小误差概率一级0.010.900.350.95二级0.050.800.500.80三级0.100.700.650.70四级0.200.600.800.60第13页/共24页第14页/共24页00000(1),(2),(3),(4)10155 12588 23480 35388Xxxxx，2D00000(1),( 2 ),( 3 ),( 4 )XDxdxdxdxd00001()()(1)(4);41xk dxkxkxk2222200000(1),(2 ),(3),(4 )XDxdxdxdxd第15页/共24页200001( )( )(1)(4)

5、);41xk dxk dxkdxdk 20(27260,29547,32411,35388)1 ,2 ,3 ,4X DXxxxx127260,56807,89218,124606X 11d xa xbd t, a b0.089995,25790.28ab 第16页/共24页110 . 0 8 9 9 9 52 5 7 9 0 . 2 8d xxd t 0.089995111131383428657411kxkex kxkxk 1 ,2 ,427260,29533,32337,35381Xxxx第17页/共24页00, 6,74,7 0000001,2,3412,120,0.0002,0.002

6、28,0.0002,nxxxn 4110.000670.067%0.014kk 40.00020.01 第18页/共24页X与x 321141115022ksx kxxx 32114111430.52ksx kxxx 32111414171.52ks sx kxx kxxxxx 1 | |1 11502 11430.50.997 0.901 11502 11430.5 71.51 | | |ssssss第19页/共24页C 41242111131151.5,4137252465,6103.484kkxxkSxkxS 41242221118.75,414154.75,64.464kkkSkS第20页/共24页2164.460.010.356103.48SCS 10.67454116.80118.75,224.75355.25,411.75S 10.674510.95ppkS第21页/共24页 0.0899951011131383428657411kxkexkxkxk