xii

DAFTAR ISI

Halaman

ANALISIS PERBANDINGAN LOGIKA FUZZY METODE MAMDANI,

TSUKAMOTO, DAN SUGENO DALAM PEMILIHAN PROGRAM STUDI DI

PERGURUAN TINGGI (STUDI KASUS : SISWA MAN 2 BANDAR

LAMPUNG) ............................................................................................................. i

LEMBAR PENGESAHAN ................................................................................... iii

HALAMAN PERNYATAAN ORISINALITAS ................................................... iv

ABSTRAK ............................................................................................................. vi

ABSTRACT .......................................................................................................... vii

MOTO .................................................................................................................. viii

PERSEMBAHAN .................................................................................................. ix

KATA PENGANTAR ............................................................................................ x

DAFTAR ISI ......................................................................................................... xii

DAFTAR GAMBAR ............................................................................................ xv

DAFTAR TABEL ................................................................................................ xvi

DAFTAR SIMBOL ............................................................................................. xvii

BAB I ...................................................................................................................... 1

PENDAHULUAN .................................................................................................. 1

1.1 Latar Belakang .............................................................................................. 1

1.2 Rumusan Masalah ......................................................................................... 4

1.3 Batasan Masalah ............................................................................................ 4

1.4 Tujuan Penelitian .......................................................................................... 4

1.5 Manfaat Penelitian ......................................................................................... 5

1.6 Metodelogi Penelitian .................................................................................... 5

1.7 Sistematika Penulisan .................................................................................... 5

BAB II ..................................................................................................................... 7

STUDI LITERATUR .............................................................................................. 7

2.1 Pemilihan Jurusan ........................................................................................ 10

2.1.1 Minat ........................................................................................................ 10

2.1.2 Bakat ......................................................................................................... 11

2.1.3 Kepribadian .............................................................................................. 12

2.2 Logika Fuzzy ............................................................................................... 13

2.2.1 Himpunan Fuzzy ....................................................................................... 15

2.2.2 Variabel Linguistik (Fuzzy Input) ............................................................ 17

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2.2.3 Fungsi Keanggotaan ................................................................................. 17

2.2.4 Operator dan Fungsi Himpunan Fuzzy .................................................... 20

2.2.5 Fungsi Implikasi ....................................................................................... 21

2.2.6 Fuzzyfikasi ............................................................................................... 22

2.2.7 Inference System ...................................................................................... 23

2.2.8 Metode Tsukamoto ................................................................................... 23

2.2.9 Metode Mamdani ..................................................................................... 24

2.2.10 Metode Sugeno ....................................................................................... 25

2.3 Tes Minat Bakat dan Kepribadian ............................................................... 25

2.4 Nilai Ketepatan ....................................................................................... 27

BAB III ................................................................................................................. 28

METODE PENELITIAN ...................................................................................... 28

3.1 Analisis Persoalan ....................................................................................... 28

3.2 Arsitektur Umum ......................................................................................... 28

3.2.1 Observasi dan Wawancara ....................................................................... 29

3.2.2 Pembuatan Angket ................................................................................... 32

3.2.3 Pengumpulan Data ................................................................................... 34

3.2.4 Preprocessing Data ................................................................................... 37

3.2.5 Implementasi Metode ............................................................................... 38

3.2.6 Fuzzy Rule Based ............................................................................... 41

3.2.7 Evaluasi Metode ....................................................................................... 46

3.3 Kebutuhan Sistem ........................................................................................ 46

3.3.1 Kebutuhan Perangkat Keras ..................................................................... 46

3.3.2 Kebutuhan Perangkat Lunak .................................................................... 46

BAB IV ................................................................................................................. 47

IMPLEMENTASI DAN PENGUJIAN ................................................................ 47

4.1 Implementasi Data ....................................................................................... 47

4.1.1 Preprocessing ............................................................................................ 47

4.1.2 Fuzzyfikasi ............................................................................................... 50

4.1.3 Inferensi Metode Tsukamoto .................................................................... 56

4.1.4 Inferensi Metode Mamdani ...................................................................... 59

4.1.5 Inferensi Metode Sugeno Orde-0 ............................................................. 62

4.2 Implementasi Kode Program ....................................................................... 64

4.2.1 Proses Preprocessing ............................................................................... 66

4.2.2 Proses Fuzzyfikasi .................................................................................... 67

4.2.4 Implementasi Aturan ................................................................................ 69

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4.2.3 Proses Inferensi ........................................................................................ 70

4.2.4 Evaluasi Sistem ........................................................................................ 74

4.3 Evaluasi Metode .......................................................................................... 78

BAB V ................................................................................................................... 82

KESIMPULAN DAN SARAN ............................................................................. 82

5.1 Kesimpulan .................................................................................................. 82

5.2 Saran ............................................................................................................ 82

DAFTAR PUSTAKA ........................................................................................... 84

LAMPIRAN A ...................................................................................................... 87

LAMPIRAN B ...................................................................................................... 88

LAMPIRAN C ...................................................................................................... 95

LAMPIRAN D ...................................................................................................... 97

LAMPIRAN E ...................................................................................................... 98

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DAFTAR GAMBAR

Gambar Halaman

Gambar 2.1 Diagram Blok Pengendalian Logika Fuzzy [5] ..................................14 Gambar 2.2 Ilustrasi Crisp Set dan Fuzzy Set [5] ..................................................15 Gambar 2.3 Fungsi Bahu Kanan[5] .......................................................................18

Gambar 2.4 Fungsi Bahu Kiri[5] ...........................................................................19 Gambar 2.5 Grafik Keanggotaan Kurva segitiga [5] .............................................19 Gambar 2.6 Kurva Trapesium[5] ...........................................................................20 Gambar 2.7. Fungsi Keanggotaan Suhu [12] ........................................................22

Gambar 3.1. Arsitektur Umum Penelitian .............................................................29 Gambar 3.2 Minat Siswa Terhadap Program Studi Pilihan ...................................36 Gambar 3.3. Preprocessing Data ...........................................................................37 Gambar 3.4 Implementasi fuzzy logic ....................................................................38

Gambar 3.5 Alur Fuzzyfikasi .................................................................................39 Gambar 3.6 Proses Inferensi ..................................................................................40 Gambar 4.1 Grafik Fungsi Keanggotaan Minat Bakat ..........................................51 Gambar 4.2 Grafik Keanggotaan Area Kepribadian ..............................................52

Gambar 4.3 Grafik Keanggotaan Output ( Grup / Jurusan ) ..................................53 Gambar 4.4 Komposisi Aturan Grup .....................................................................61

Gambar 4.5 Diagram Alir Keseluruhan Program ..................................................65 Gambar 4.6 Proses Import Dataset ........................................................................66 Gambar 4.7 Proses Preprocessing dataset .............................................................67

Gambar 4.8 Keluaran Proses Preprocessing..........................................................67

Gambar 4.9 Kode Program Fuzzyfikasi .................................................................68 Gambar 4.10 Keluaran proses fuzzyfikasi ..............................................................69 Gambar 4.11 Implementasi Aturan Fuzzy .............................................................70

Gambar 4.12 Kode Inferensi Metode Tsukamoto ..................................................71 Gambar 4.13 Keluaran proses inferensi Tsukamoto Responden ke 0 ...................72

Gambar 4.14 Keluaran DeFuzzyfikasi Tsukamoto ................................................73 Gambar 4.15 Proses sorting nilai MAX ..................................................................74

Gambar 4.16 Import Minat Sesungguhnya ............................................................75 Gambar 4.17 Import Matrix Error .........................................................................75 Gambar 4.18 Nilai Matriks Error ..........................................................................76 Gambar 4.19 Proses Pengambilan Error ................................................................77 Gambar 4.20 Kode Program MAPE ......................................................................77

Gambar 4.21 Keluaran rata-rata MAPE .................................................................78

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DAFTAR TABEL

Tabel Halaman

Tabel 2.1 Rangkuman Penelitian Terdahulu ............................................................8

Tabel 2.2 Label Jurusan dan Pelajaran terkait .......................................................10 Tabel 3.1 Deskripsi dataset observasi jurusan .......................................................30 Tabel 3.2 Responden Observasi Jurusan ................................................................30 Tabel 3.3 Komponen Bakat dalam Pemilihan Jurusan ..........................................31 Tabel 3.4 Deskripsi Dataset Objek Uji ..................................................................34

Tabel 3.5 Minat Siswa ...........................................................................................35 Tabel 3.6 Aturan Fuzzy Metode Tsukamoto ..........................................................41

Tabel 3.7 Aturan Fuzzy Metode Mamdani dan Sugeno .........................................43

Tabel 3.8 Fuzzy Error Matriks ..............................................................................44 Tabel 3.9 Spesifikasi Perangkat Keras ...................................................................46 Tabel 3.10 Spesifikasi Perangkat Lunak ................................................................46 Tabel 4.1 Data hasil tes minat bakat ......................................................................47

Tabel 4.2 Hasil Preprocessing dataset ...................................................................49 Tabel 4.3 Nilai Preprocessing Responden .............................................................53

Tabel 4.4 Derajat Keanggotaan Minat Bakat .........................................................55 Tabel 4.5 Derajat keanggotaan kepribadian ...........................................................56

Tabel 4.6 Hasil Inferensi Minat Bakat Metode Tsukamoto ...................................58 Tabel 4.7 Hasil Inferensi Metode Mamdani ..........................................................60 Tabel 4.8 Hasil inferensi metode Sugeno-0 ...........................................................63

Tabel 4.9 Hasil Akhir Metode Tsukamoto.............................................................79 Tabel 4.10 Error Teknik Sipil Metode Tsukamoto ................................................79

Tabel 4.11 Tabel MAPE Perbandingan Metode ....................................................80