TUGAS SISTEM PAKAR YANG KE 1

PenyelesaianFungsi Sigmoid 

Tentukandulu input dan target nya…!!! Input = x1 dan x2 kemudian Target = y1 dan y2

X1 = 89                Y1 =0.14 (Target yang akan di capai)

X2 = 10                Y2 =0.99 (Target yang akan di capai)

Terlebihdahulunormalisasiinputandengancarabilanganterkecil di bagibilanganterbesar. Hasilnyadibawahini :

X1 = 1                  Y1 =0.14 (Target yang akan di capai)

X2 = 0.112           Y2 =0.99 (Target yang akan di capai)

Inisialisasi :

α = 0.7

s = 1

V01 = 0.4	W01 = 0.2
V02 = 0.5	W02 = 0.3
V11 = 0.8	W11 = 0.6
V12 = 0.9	W12 = 0.5
V21 = 0.6	W21 = 0.4
V22 = 0.6	W22 = 0.2

Z in 1   = v01 * 1 + v11 * x1 + v21*x2

            = 0.4*1+0.8*1+0.6*0.112

            = 1.267

Z1        = 1/(1+e^-1.267) = 0.780

                            Ket :tandamerahdapat di cakarsecara manual

                            e =2.718            maka

                                           Z1 = 1 / (1 + (1/2.718^1.267)) = kerjakandahulu yang bewarnabiru

                                                = 1/(1+0.28)

                                                = 0.78

Z in 2   = v02*1 + v12*x1 + v22*x2

            = 0.5*1  + 0.9*1    + 0.6*0.112

            = 1.467

Z2        = 1 / (1+e^-1.467) = 0.680

Y in 1  = w01*1 + w11*z1 + w21*z2

            = 0.2*1  + 0.6*0.780 + 0.4*0.680

            = 0.893

Y in 2  = w02*1 + w12*z1 + w22*z2

            = 0.3*1 + 0.5*0.780 + 0.2*0.680

            = 0.753

Y1       = 1 / (1 + e^-0.893) = 0.710

Y2       =1 / (1 + e^-0.753) = 0.680

d1        = (y1 – y1’) * (e^{-y in 1}) / (1 + e^{-y in 1})²

            = (0.14 – 0.710) * (e^-0.893) / (1 + e^-0.893) = -0.105

d2        =(y2– y2’) * (e^{-y in 2}) / (1 + e^{-y in 2})²

            = (0.99 – 0.680) * (e^-0.753) / (1 + e^-0.753) = 0.064

Dw01   = α * (d1)

            = 0.7 * (-0.105)

            = -0.075

Dw02   =α * (d2)

            = 0.7 * (0.064)

            = 0.045

Dw11   =α * (d1) * z1

            = 0.7 * (-0.105) * 0.780

            = -0.057

Dw12   = α * (d2) * z1

            = 0.7 * (0.064) * 0.780

            = 0.035

Dw21   =α * (d1) * z2

            = 0.7 * (-0.105) * 0.680

            = -0.057

Dw22   =α * (d2) * z2

            = 0.7 * (0.064) * 0.680

            = 0.037

din 1    =d1*w11 + d2*w12

            = (-0.105) * 0.6 + (0.064) * 0.5

            = -0.031

d1        =d in 1 * e^-1.267 / (1+e^-1.267)²

            = 0.005

din 2    =d1*w21 + d2*w22

            = (-0.105) * 0.4 + (0.064) * 0.2

            = -0.029

d2        =d in 2 * e^-1.467/ (1+e^-1.467)²

            = -0.006

Dv01    =α * (d1) = 0.7 * (0.005) = -0.0037

Dv02    =α * (d2) = 0.7 * (-0.006) = -0.0044

Dv11    =α * (d1) * x1

            = 0.7 * (0.005) * 1

            = -0.0037

Dv12    =α * (d2) * x1

            = 0.7 * (-0.006) * 1

            = -0.0044

Dv21    =α * (d1) * x2

            = 0.7 * (0.005) * 0.112

            = -0.0004

Dv22    = α * (d2) * x2

            = 0.7 * (-0.006) * 0.112

            = -0.0005

Selanjutnya menentukan nilai baru dari v dan w :

V01     = 0.4 + (-0.0037) = 0.396

V02     = 0.5 + (-0.0044) = 0.50

V11     = 0.8 + (-0.0037) = 0.80

V12     = 0.9 + (-0.0044) = 0.90

V21     = 0.4 + (-0.0004) = 0.60

V22     = 0.6 + (-0.0005) = 0.60

W01    = 0.2 + (-0.075)   = 0.03

W02    = 0.3 + (0.045)     = 0.25

W11    = 0.6 + (-0.057)   = 0.54

W12    = 0.5 + (0.045)    = 0.54

W21    = 0.4 + (-0.057)  = 0.34

W22    =0.2 + (0.037)    = 0.24

Setelahsemuanyasudah di caridenganbetulmakaakan di dapatkannilaibaruuntuk V dan W

Karna Y1 dan Y2 dalamperhitungan di atasbelummemenuhi target, makaharus di carilagimenggunakan proses perulangan.

Karenaharusmenyelesaikandengan proses perulanganmakadariitugunakanaplikasiMs.excel agar dapatmenyelesaikanmasalahtersebuttampilannyasepertigambarberikutini :

 

Target yang inginkitacari  :

 Y1 = 0.14

 Y2 = 0.99

gambar di atasmenyatakanbahwa yang bewarnamerahitu Y1 = 0.195 dan yang bewarnabiruitu Y2 = 0.810 ,,, berartibahwapengalamanuntukmencapaisebuah target dapatberhasil, karenanilai Y2 perlahan - lahanmendekati target yang diinginkan.