Fuzzy Logic – Defuzzifikasi
Pada pembahasan kali ini kita akan membahas beberapa metode defuzzifikasi. Ada beberapa metode defuzzifikasi, namun yang akan di bahas di sini merupakan metode defuzzifikasi yang populer.
Metode Centroid
Metode centroid disebut juga sebagai Center of Area atau COG(Center of Gravity), metode ini merupakan metode yang paling populer dalam proses defuzzifikasi. Metode ini menghitung nilai crisp menggunakan rumus berikut:
Dimana y* merupakan bilangan crisp. Untuk fungsi integral dapat di ganti dengan fungsi sum jika y merupakan bernilai diskrit, sehingga untuk rumus diskritnya adalah sebagai berikut:
Heigh Method
Metode ini juga dikenal sebagai prinsip keanggotaan maksimum, karena metode ini secara sederhana memilih nili crisp yang memiliki derajat keanggotaan maksimum. Sehingga metode ini hanya bisa dipakai untuk fungsi keanggotaan yang memiliki derajat keanggotaan 1 pada suatu nilai crisp tunggal dan 0 pada semua nilai crisp yang lain. dan fungsi seperti ini biasa di sebut singleton.
First (or Last) of Maxima
Metode ini juga merupakan generalisasi dari height method untuk kasus dimana fungsi keanggotaan output memiliki lebih dari satu nilai maksimum. Sehingga, nilai crisp yang digunakan adalah salah satu dari nilai yang dihasilkan dari maksimum pertama atau maksimum terakhir tergantung pada aplikasi yang akan dibangun.
Mean-Max Method
Metode ini juga disebut sebagai metode middle of maxima. Metode ini merupakan rataan dari nilai crisp maksimum dan nilai crisp minimum. berikut merupakan persamaan matematik dari mean-max method:
Weighted Average
Metode ini adalah metode yang mengambil nilai rata-rata dengan menggunakan pembobotan berupa derajat keanggotaan. Berikut merupakan persamaan matematiknya:
dimana y merupakan nilai crisp dan μ(y) merupakan derajat keanggotaan dari nilai crisp y.
Sumber:
- Artificial Intelligence – Suyanto
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