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ARTIFICIAL
INTELLIGENCE
19/07/2022 1
Logika Klasik Vs Logika Fuzzy
 Logika klasik :”segala sesuatu bersifat biner” , Sehingga semua ini dapat mempunyai
nilai keanggotaan 0 atau 1
 Logika fuzzy adalah metodologi sistem kontrol pemecahan masalah, yang cocok untuk
diimplementasikan pada sistem
 logika fuzzy memungkinkan nilai keanggotaan berada diantara 0 dan 1.
Kelebihan Logika Fuzzy
 Mudah dimengerti,
 Memiliki toleransi terhadap data-data yang tidak tepat,
 Memodelkan fungsi nonlinear yang sangat kompleks,
 Mengaplikasikan pengalaman pakar secara langsung tanpa harus melalui proses
pelatihan,
 Bekerjasama dengan teknik kendali secara konvensional,
 Didasarkan pada bahasa alami
19/07/2022 3
Dasar-Dasar Logika Fuzzy
Variable Fuzzy
• Atribut Linguistik
• Atribut Numerik
Himpunan Fuzzy
• Rentang nilai
Semesta Pembicaraan
Domain Himpunan Fuzzy
Dasar-Dasar Logika Fuzzy
1. Variabel fuzzy
 yaitu variabel yang akan dibahas dalam suatu sistem fuzzy.
 Contoh: penghasilan, temperatur, permintaan, umur dan sebagainya.
2. Himpunan fuzzy
 yaitu suatu kelompok yang mewakili suatu keadaan tertentu dalam suatu variabel fuzzy.
 Atribut Himpunan Fuzzy: (2)
 Linguistik, yaitu nama suatu kelompok yang mewakili suatu keadaan tertentu dengan menggunakan bahasa
alami, misalnya:
 DINGIN, SEJUK, PANAS mewakili variabel temperatur,
 MUDA, PAROBAYA, TUA, mewakili variabel umur.
 Numeris, yaitu suatu nilai yang menunjukkan ukuran dari suatu variabel, misalnya: 10, 35, 40, dan
sebagainya.
Dasar-Dasar Logika Fuzzy
3. Semesta pembicaraan, yaitu seluruh nilai yang diijinkan untuk dioperasikan dalam suatu
variabel fuzzy.
 Contoh:
 Semesta pembicaraan untuk variabel permintaan: [0 +)
 Semesta pembicaraan untuk variabel temperatur: [-10 90]
4. Domain himpunan fuzzy, yaitu seluruh nilai yang diijinkan dalam semesta pembicaraan
dan boleh dioperasikan dalam suatu himpunan fuzzy.
Fungsi Keanggotaan
 Fungsi keanggotaan adalah grafik yang mewakili besar dari derajat keanggotaan
masing-masing variabel input yang berada dalam interval antara 0 dan 1.
 Derajat keanggotaan sebuah variabel x dilambangkan dengan simbol µ(x).
Fungsi Keanggotaan
1. Kurva Linear
• Naik
• Turun 2. Kurva segitiga 3. Kurva Trapesium
4. Kurva Bahu
5. Kurva-S
(Sigmoid)
• Pertumbuhan
• Penyusutan
6. Kurva Bentuk
Lonceng
• Kurva PI
• Kurva Beta
• Kurva Gaus
19/07/2022 8
1. Kurva Linear Naik
Berapa derajat keanggotaan 32
pada himpunan NAIK?
 mNAIK[32]
 =(32-25)/(35-25)
 =7/10
 = 0,7












b
x
b
x
a
a
b
a
x
a
x
x
;
1
);
/(
)
(
;
0
]
[

2. Kurva Segitiga
Berapa derajat keanggotaan 23
pada himpunan DINGIN
tersebut ?
 mDINGIN[23]
 = (23-15)/(25-15)
 = 8/10
 = 0,8 











c
x
b
b);
-
x)/(c
-
(b
b
x
a
a);
-
a)/(b
-
(x
c
x
atau
;
0
]
[
a
x
x

3. Kurva Trapesium
 Berapa derajat keanggotaan
32 dan 25 pada himpunan
DINGIN tersebut ?
 mDINGIN [32]
 = (35-32)/(35-27)
 = 3/8
 = 0,375
 mDINGIN [25]= 1 















d
x
c
a
x
x
c);
-
x)/(d
-
(d
c
x
b
1;
b
x
a
a);
-
a)/(b
-
(x
d
atau x
;
0
]
[

4. Kurva Bahu
 Kurva Bentuk Bahu














c
x
b
b);
-
b)/(c
-
(x
b
x
a
a);
-
x)/(b
-
(b
d
x
c
atau
0
;
1
]
[
a
x
x

5. Kurva-S : Pertumbuhan
 Berapa derajat keanggotaan
PANAS pada variabel
temperatur, bila sebuah benda
mempunyai temperatur 500C
 mPANAS[50]
 = 1 – 2((60-50)/(60-35))²
 = 1 – 2(10/25) ²
 = 0,68 






















c
x
c
x
b
a
c
x
c
b
x
a
a
c
a
x
a
x
c
b
a
x
1
))
/(
)
((
2
1
))
/(
)
((
2
0
)
,
,
;
( 2
2

5. Kurva-S : Penyusutan
 Berapa derajat keanggotaan
PANAS pada variabel
temperatur, bila sebuah benda
mempunyai temperatur 370C
 mMUDA[37]
 = 2((50-37)/(50-20)) ²
 = 2(13/30) ²
 = 0,376























c
x
c
x
b
a
c
x
c
b
x
a
a
c
a
x
a
x
c
b
a
x
S
0
))
/(
)
((
2
))
/(
)
((
2
1
1
)
,
,
;
( 2
2
6. Kurva Bentuk Lonceng - Pi
 Berapa derajat keanggotaan PANAS pada
variabel temperatur, bila sebuah benda
mempunyai dua buah sisi,
 sisi depan temperaturnya 42 oC
 Dan sisi belakang temperaturnya 51oC.
 mPANAS[42]
 = 1 - 2((45-42)/(45-35))2
 = 1 - 2(3/10)2
 = 0,82
 mPANAS[51]
 = 2((55-51)/(55-45))2
 = 2(4/10)2
 = 0,32






























c
x
b
c
b
c
c
x
S
c
x
c
b
c
b
c
x
S
c
b
x
,
2
,
;
1
,
2
,
;
)
,
,
(
19/07/2022 15
6. Kurva Bentuk Lonceng - Beta
 Berapa derajat keanggotaan PANAS pada
variabel temperatur, bila sebuah benda
mempunyai dua buah sisi,
 sisi depan temperaturnya 42 oC
 dan sisi belakang temperaturnya 51oC.
 mPANAS[42]
 = 1/(1+((42-45)/5)2)
 = 0,7353
 mPANAS[51]
 = 1/(1+((51-45)/5)2)
 = 0,4098
2
1
1
)
,
;
(





 


b
c
x
b
c
x
B
19/07/2022 16
6. Kurva Bentuk Lonceng - Gauss
 Berapa derajat keanggotaan PANAS pada
variabel temperatur, bila sebuah benda
mempunyai dua buah sisi,
 sisi depan temperaturnya 42 oC
 dan sisi belakang temperaturnya 51oC.
 mPANAS[42]
 = 1/(1+((42-45)/5)2)
 = 0,7353
 mPANAS[51]
 = 1/(1+((51-45)/5)2)
 = 0,4098
2
)
(
)
,
;
( x
c
L
e
c
L
x
G 


19/07/2022 17

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Fuzzy logic Istnuba.pptx

  • 2. Logika Klasik Vs Logika Fuzzy  Logika klasik :”segala sesuatu bersifat biner” , Sehingga semua ini dapat mempunyai nilai keanggotaan 0 atau 1  Logika fuzzy adalah metodologi sistem kontrol pemecahan masalah, yang cocok untuk diimplementasikan pada sistem  logika fuzzy memungkinkan nilai keanggotaan berada diantara 0 dan 1.
  • 3. Kelebihan Logika Fuzzy  Mudah dimengerti,  Memiliki toleransi terhadap data-data yang tidak tepat,  Memodelkan fungsi nonlinear yang sangat kompleks,  Mengaplikasikan pengalaman pakar secara langsung tanpa harus melalui proses pelatihan,  Bekerjasama dengan teknik kendali secara konvensional,  Didasarkan pada bahasa alami 19/07/2022 3
  • 4. Dasar-Dasar Logika Fuzzy Variable Fuzzy • Atribut Linguistik • Atribut Numerik Himpunan Fuzzy • Rentang nilai Semesta Pembicaraan Domain Himpunan Fuzzy
  • 5. Dasar-Dasar Logika Fuzzy 1. Variabel fuzzy  yaitu variabel yang akan dibahas dalam suatu sistem fuzzy.  Contoh: penghasilan, temperatur, permintaan, umur dan sebagainya. 2. Himpunan fuzzy  yaitu suatu kelompok yang mewakili suatu keadaan tertentu dalam suatu variabel fuzzy.  Atribut Himpunan Fuzzy: (2)  Linguistik, yaitu nama suatu kelompok yang mewakili suatu keadaan tertentu dengan menggunakan bahasa alami, misalnya:  DINGIN, SEJUK, PANAS mewakili variabel temperatur,  MUDA, PAROBAYA, TUA, mewakili variabel umur.  Numeris, yaitu suatu nilai yang menunjukkan ukuran dari suatu variabel, misalnya: 10, 35, 40, dan sebagainya.
  • 6. Dasar-Dasar Logika Fuzzy 3. Semesta pembicaraan, yaitu seluruh nilai yang diijinkan untuk dioperasikan dalam suatu variabel fuzzy.  Contoh:  Semesta pembicaraan untuk variabel permintaan: [0 +)  Semesta pembicaraan untuk variabel temperatur: [-10 90] 4. Domain himpunan fuzzy, yaitu seluruh nilai yang diijinkan dalam semesta pembicaraan dan boleh dioperasikan dalam suatu himpunan fuzzy.
  • 7. Fungsi Keanggotaan  Fungsi keanggotaan adalah grafik yang mewakili besar dari derajat keanggotaan masing-masing variabel input yang berada dalam interval antara 0 dan 1.  Derajat keanggotaan sebuah variabel x dilambangkan dengan simbol µ(x).
  • 8. Fungsi Keanggotaan 1. Kurva Linear • Naik • Turun 2. Kurva segitiga 3. Kurva Trapesium 4. Kurva Bahu 5. Kurva-S (Sigmoid) • Pertumbuhan • Penyusutan 6. Kurva Bentuk Lonceng • Kurva PI • Kurva Beta • Kurva Gaus 19/07/2022 8
  • 9. 1. Kurva Linear Naik Berapa derajat keanggotaan 32 pada himpunan NAIK?  mNAIK[32]  =(32-25)/(35-25)  =7/10  = 0,7             b x b x a a b a x a x x ; 1 ); /( ) ( ; 0 ] [ 
  • 10. 2. Kurva Segitiga Berapa derajat keanggotaan 23 pada himpunan DINGIN tersebut ?  mDINGIN[23]  = (23-15)/(25-15)  = 8/10  = 0,8             c x b b); - x)/(c - (b b x a a); - a)/(b - (x c x atau ; 0 ] [ a x x 
  • 11. 3. Kurva Trapesium  Berapa derajat keanggotaan 32 dan 25 pada himpunan DINGIN tersebut ?  mDINGIN [32]  = (35-32)/(35-27)  = 3/8  = 0,375  mDINGIN [25]= 1                 d x c a x x c); - x)/(d - (d c x b 1; b x a a); - a)/(b - (x d atau x ; 0 ] [ 
  • 12. 4. Kurva Bahu  Kurva Bentuk Bahu               c x b b); - b)/(c - (x b x a a); - x)/(b - (b d x c atau 0 ; 1 ] [ a x x 
  • 13. 5. Kurva-S : Pertumbuhan  Berapa derajat keanggotaan PANAS pada variabel temperatur, bila sebuah benda mempunyai temperatur 500C  mPANAS[50]  = 1 – 2((60-50)/(60-35))²  = 1 – 2(10/25) ²  = 0,68                        c x c x b a c x c b x a a c a x a x c b a x 1 )) /( ) (( 2 1 )) /( ) (( 2 0 ) , , ; ( 2 2 
  • 14. 5. Kurva-S : Penyusutan  Berapa derajat keanggotaan PANAS pada variabel temperatur, bila sebuah benda mempunyai temperatur 370C  mMUDA[37]  = 2((50-37)/(50-20)) ²  = 2(13/30) ²  = 0,376                        c x c x b a c x c b x a a c a x a x c b a x S 0 )) /( ) (( 2 )) /( ) (( 2 1 1 ) , , ; ( 2 2
  • 15. 6. Kurva Bentuk Lonceng - Pi  Berapa derajat keanggotaan PANAS pada variabel temperatur, bila sebuah benda mempunyai dua buah sisi,  sisi depan temperaturnya 42 oC  Dan sisi belakang temperaturnya 51oC.  mPANAS[42]  = 1 - 2((45-42)/(45-35))2  = 1 - 2(3/10)2  = 0,82  mPANAS[51]  = 2((55-51)/(55-45))2  = 2(4/10)2  = 0,32                               c x b c b c c x S c x c b c b c x S c b x , 2 , ; 1 , 2 , ; ) , , ( 19/07/2022 15
  • 16. 6. Kurva Bentuk Lonceng - Beta  Berapa derajat keanggotaan PANAS pada variabel temperatur, bila sebuah benda mempunyai dua buah sisi,  sisi depan temperaturnya 42 oC  dan sisi belakang temperaturnya 51oC.  mPANAS[42]  = 1/(1+((42-45)/5)2)  = 0,7353  mPANAS[51]  = 1/(1+((51-45)/5)2)  = 0,4098 2 1 1 ) , ; (          b c x b c x B 19/07/2022 16
  • 17. 6. Kurva Bentuk Lonceng - Gauss  Berapa derajat keanggotaan PANAS pada variabel temperatur, bila sebuah benda mempunyai dua buah sisi,  sisi depan temperaturnya 42 oC  dan sisi belakang temperaturnya 51oC.  mPANAS[42]  = 1/(1+((42-45)/5)2)  = 0,7353  mPANAS[51]  = 1/(1+((51-45)/5)2)  = 0,4098 2 ) ( ) , ; ( x c L e c L x G    19/07/2022 17