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Simulasi
Kinerja Siswa
Dengan Metode
Fuzzy Inference
Sugeno
Menggunakan
Aplikasi Matlab
ABSTRAK
– Tujuan : Tujuan dari jurnal ini adalah membuat simulasi untuk
penilaian kinerja siswa menggunakan logika fuzzy untuk mengatasi
masalah proses penilaian evaluasi siswa.
– Metode : Satu cara penentuan perhitungan hasil evaluasi siswa dapat
dipermudah dengan menggunakan bantuan pertimbangan Artifical
Intelligence (AI) sebagai optimasinya. Dalam pertimbangan evaluasi
kinerja siswa ini menggunakan logika fuzzy dengan metode inference
system sugeno. Metode sugeno ini merupakan metode inference fuzzy
untuk aturan yang direpresentasikan dalam bentuk IF-THEN, dimana
output sistem tidak berupa himpunan fuzzy, melainkan berupa
persamaan linier.
METODE
– Metode yang digunakan dalam pengembangan sistem ini
adalah reasoning, yaitu penyelesaian masalah dengan cara
mempresentasikan masalah ke dalam basis pengetahuan
menggunakan logika atau bahasa formal (bahasa yang
dapat dipahami oleh komputer), sedangkan logika yang
digunakan adalah fuzzy logic. Pada perhitungan fuzzy logic
terhadap tiga tahapan yang harus dilalui, yaitu:
(1) fuzzification.
(2) inference engine.
(3) defuzzification.
Fuzzification
Klasifikasi Exam 1 dan Exam 2
input Very Low (VL) (0, 0, 25)
Exam 1
Low (L) (0, 25, 50)
Average (A) (25, 50, 75)
High (H) (50, 75, 90)
Very High (VH) (75, 90, 100)
Exam 2
Very Low (VL) (0, 0, 25)
Low (L) (0, 25, 50)
Average (A) (25, 50, 75)
High (H) (50, 75, 90)
Very High (VH) (75, 90, 100)
Output Result Very Unsuccessful (VU) (0, 0, 25)
Unsuccessful (U) (0, 25, 50)
Average (A) (25, 50, 75)
Successful (S) (50, 75, 90)
Very Successful (VS) (75, 90, 100)
Interval exam 1 dan 2
Inference Engine
[R1] IF Exam1 is VL AND Exam2 is VL THEN Result is VU
[R2] IF Exam1 is VL AND Exam2 is L THEN Result is VU
[R3] IF Exam1 is VL AND Exam2 is A THEN Result is U
[R4] IF Exam1 is VL AND Exam2 is H THEN Result is U
[R5] IF Exam1 is VL AND Exam2 is VH THEN Result is A
[R6] IF Exam1 is L AND Exam2 is VL THEN Result is VU
[R7] IF Exam1 is L AND Exam2 is L THEN Result is U
[R8] IF Exam1 is L AND Exam2 is A THEN Result is U
[R9] IF Exam1 is L AND Exam2 is H THEN Result is A
[R10] IF Exam1 is L AND Exam2 is VH THEN Result is A
[R11] IF Exam1 is AAND Exam2 is VL THEN Result is U
[R12] IF Exam1 is AAND Exam2 is L THEN Result is U
[R13] IF Exam1 is AAND Exam2 is A THEN Result is A
[R14] IF Exam1 is AAND Exam2 is H THEN Result is S
[R15] IF Exam1 is AAND Exam2 is VH THEN Result is S
[R16] IF Exam1 is H AND Exam2 is VL THEN Result is U
[R17] IF Exam1 is H AND Exam2 is L THEN Result is A
[R18] IF Exam1 is H AND Exam2 is A THEN Result is S
[R19] IF Exam1 is H AND Exam2 is H THEN Result is S
[R20] IF Exam1 is H AND Exam2 is VH THEN Result is VS
[R21] IF Exam1 is VH AND Exam2 is VL THEN Result is A
[R22] IF Exam1 is VH AND Exam2 is L THEN Result is S
[R23] IF Exam1 is VH AND Exam2 is A THEN Result is S
[R24] IF Exam1 is VH AND Exam2 is H THEN Result is VS
[R25] IF Exam1 is VH AND Exam2 is VH THEN Result is VS
Defuzzyfication
• Fungsi Keanggotaan Exam1 = 40
Perhitungan fungsi keanggotaan Exam1 = 40 terletak dua himpuna fuzzy yaitu Low dan Avarage.
μLow(40) = (c − x)
(c − b)
μLow(40) = (50 − 40)
(50 − 25)
μLow(40) = 10/25
= 0,4
μAverage(40) = (x − a)
(b − a)
μAverage(40) = (40 − 25)
(50 − 25)
μAverage(40) = 15/25
= 0,6
• Fungsi Keanggotaan Examp2 = 65
• Perhitungan fungsi keanggotaan Exam2 = 65 terletak dua himpunanfuzzy
yaitu Average dan High.
•
μAverage(65) = (c − x)
• (c − b)
• μAverage(65) = (75 − 65)
• (75 − 50)
• μAverage(65) = 10/25
• = 0,4
•
μHigh(65) = (x − a)
• (b − a)
• μHigh(65) = (65 − 50)
• (75 − 50)
• μHigh(65) = 15/25
• = 0,6
InferenceRule
R8 If Exam 1 is L 0,4 and Exam 2 is H 0,4 then is U
α predikat8 = μ Lower ∩ μ High
= min (μExam1 Lower(40),
μExam2 High(65))
= min (0,4; 0,5)
= 0,4
Nilai z8 = 40
R9 If Exam 1 is L 0,4 and Exam 2 is H 0,6 then is A
α predikat9 = μLower ∩ μ High
= min (μExam1 Lower(40), μExam2 High(65))
= min (0,4; 0,6)
= 0,4
Nilai z9 = 40
R13 If Exam 1 is A 0,6 and Exam 2 is A 0,4 then is A
α predikat13= μ Average ∩ μ Average
= min (μExam1 Average(40), μExam2 Average(65))
= min (0,6; 0,4)
= 0,4
Nilai z13 = 65
R14 If Exam 1 is A 0,6 and Exam 2 is H 0,6 then is S
α predikat14= μ Average ∩ μ High
= min (μExam1 Average(40),
μExam2 High(65))
= min (0,6; 0,6)
= 0,6
Nilai z14 = 40
Defuzzification
• Untuk proses defuzzyfication menggunakan
weight average, maka rata-rata nilai
performance siswa.
• Dari penjelasan diatas diperoleh nilai z yaitu
sebesar 45,5
Simulasi Matlab
Simulasi Kinerja Siswa Dengan Metode Fuzzy Inference Sugeno.pptx

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Simulasi Kinerja Siswa Dengan Metode Fuzzy Inference Sugeno.pptx

  • 1. Simulasi Kinerja Siswa Dengan Metode Fuzzy Inference Sugeno Menggunakan Aplikasi Matlab
  • 2. ABSTRAK – Tujuan : Tujuan dari jurnal ini adalah membuat simulasi untuk penilaian kinerja siswa menggunakan logika fuzzy untuk mengatasi masalah proses penilaian evaluasi siswa. – Metode : Satu cara penentuan perhitungan hasil evaluasi siswa dapat dipermudah dengan menggunakan bantuan pertimbangan Artifical Intelligence (AI) sebagai optimasinya. Dalam pertimbangan evaluasi kinerja siswa ini menggunakan logika fuzzy dengan metode inference system sugeno. Metode sugeno ini merupakan metode inference fuzzy untuk aturan yang direpresentasikan dalam bentuk IF-THEN, dimana output sistem tidak berupa himpunan fuzzy, melainkan berupa persamaan linier.
  • 3. METODE – Metode yang digunakan dalam pengembangan sistem ini adalah reasoning, yaitu penyelesaian masalah dengan cara mempresentasikan masalah ke dalam basis pengetahuan menggunakan logika atau bahasa formal (bahasa yang dapat dipahami oleh komputer), sedangkan logika yang digunakan adalah fuzzy logic. Pada perhitungan fuzzy logic terhadap tiga tahapan yang harus dilalui, yaitu: (1) fuzzification. (2) inference engine. (3) defuzzification.
  • 5. Klasifikasi Exam 1 dan Exam 2 input Very Low (VL) (0, 0, 25) Exam 1 Low (L) (0, 25, 50) Average (A) (25, 50, 75) High (H) (50, 75, 90) Very High (VH) (75, 90, 100) Exam 2 Very Low (VL) (0, 0, 25) Low (L) (0, 25, 50) Average (A) (25, 50, 75) High (H) (50, 75, 90) Very High (VH) (75, 90, 100) Output Result Very Unsuccessful (VU) (0, 0, 25) Unsuccessful (U) (0, 25, 50) Average (A) (25, 50, 75) Successful (S) (50, 75, 90) Very Successful (VS) (75, 90, 100)
  • 7. Inference Engine [R1] IF Exam1 is VL AND Exam2 is VL THEN Result is VU [R2] IF Exam1 is VL AND Exam2 is L THEN Result is VU [R3] IF Exam1 is VL AND Exam2 is A THEN Result is U [R4] IF Exam1 is VL AND Exam2 is H THEN Result is U [R5] IF Exam1 is VL AND Exam2 is VH THEN Result is A [R6] IF Exam1 is L AND Exam2 is VL THEN Result is VU [R7] IF Exam1 is L AND Exam2 is L THEN Result is U [R8] IF Exam1 is L AND Exam2 is A THEN Result is U [R9] IF Exam1 is L AND Exam2 is H THEN Result is A [R10] IF Exam1 is L AND Exam2 is VH THEN Result is A [R11] IF Exam1 is AAND Exam2 is VL THEN Result is U [R12] IF Exam1 is AAND Exam2 is L THEN Result is U [R13] IF Exam1 is AAND Exam2 is A THEN Result is A [R14] IF Exam1 is AAND Exam2 is H THEN Result is S [R15] IF Exam1 is AAND Exam2 is VH THEN Result is S
  • 8. [R16] IF Exam1 is H AND Exam2 is VL THEN Result is U [R17] IF Exam1 is H AND Exam2 is L THEN Result is A [R18] IF Exam1 is H AND Exam2 is A THEN Result is S [R19] IF Exam1 is H AND Exam2 is H THEN Result is S [R20] IF Exam1 is H AND Exam2 is VH THEN Result is VS [R21] IF Exam1 is VH AND Exam2 is VL THEN Result is A [R22] IF Exam1 is VH AND Exam2 is L THEN Result is S [R23] IF Exam1 is VH AND Exam2 is A THEN Result is S [R24] IF Exam1 is VH AND Exam2 is H THEN Result is VS [R25] IF Exam1 is VH AND Exam2 is VH THEN Result is VS
  • 9. Defuzzyfication • Fungsi Keanggotaan Exam1 = 40 Perhitungan fungsi keanggotaan Exam1 = 40 terletak dua himpuna fuzzy yaitu Low dan Avarage. μLow(40) = (c − x) (c − b) μLow(40) = (50 − 40) (50 − 25) μLow(40) = 10/25 = 0,4 μAverage(40) = (x − a) (b − a) μAverage(40) = (40 − 25) (50 − 25) μAverage(40) = 15/25 = 0,6
  • 10. • Fungsi Keanggotaan Examp2 = 65 • Perhitungan fungsi keanggotaan Exam2 = 65 terletak dua himpunanfuzzy yaitu Average dan High. • μAverage(65) = (c − x) • (c − b) • μAverage(65) = (75 − 65) • (75 − 50) • μAverage(65) = 10/25 • = 0,4 • μHigh(65) = (x − a) • (b − a) • μHigh(65) = (65 − 50) • (75 − 50) • μHigh(65) = 15/25 • = 0,6
  • 11. InferenceRule R8 If Exam 1 is L 0,4 and Exam 2 is H 0,4 then is U α predikat8 = μ Lower ∩ μ High = min (μExam1 Lower(40), μExam2 High(65)) = min (0,4; 0,5) = 0,4 Nilai z8 = 40 R9 If Exam 1 is L 0,4 and Exam 2 is H 0,6 then is A α predikat9 = μLower ∩ μ High = min (μExam1 Lower(40), μExam2 High(65)) = min (0,4; 0,6) = 0,4 Nilai z9 = 40 R13 If Exam 1 is A 0,6 and Exam 2 is A 0,4 then is A α predikat13= μ Average ∩ μ Average = min (μExam1 Average(40), μExam2 Average(65)) = min (0,6; 0,4) = 0,4 Nilai z13 = 65 R14 If Exam 1 is A 0,6 and Exam 2 is H 0,6 then is S α predikat14= μ Average ∩ μ High = min (μExam1 Average(40), μExam2 High(65)) = min (0,6; 0,6) = 0,6 Nilai z14 = 40
  • 12. Defuzzification • Untuk proses defuzzyfication menggunakan weight average, maka rata-rata nilai performance siswa. • Dari penjelasan diatas diperoleh nilai z yaitu sebesar 45,5