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Jasa Pembuatan Skripsi

Jasa Pembuatan Skripsi
Jasa Pembuatan Skripsi

Saturday, October 12, 2013

Download Skripsi Gratis Matematika: PENYELESAIAN SISTEM PERSAMAAN FUZZY NONLINIER DENGAN MENGGUNAKAN METODE STEEPEST DESCENT


Metode Steepest Descent merupakan salah satu dari analisis numerik dalam menyelesaikan permasalahan-permasalahan yang diformulasikan secara matematis. Dalam analisis numerik dilakukan perhitungan dalam jumlah yang sangat banyak dan berulang-ulang. Oleh karena itu, diperlukan bantuan computer dalam bentuk software MATLAB karena lebih mudah dan lebih cepat selain itu dapat dengan mudah menyelesaikan bilangan atau persamaan yang lebih kompleks. Tujuan penulis ingin mencari penyelesaian sistem persamaan fuzzy nonlinier dengan menggunakan metode Steepest Descent . Persamaan fuzzy merupakankombinasi dari bilangan fuzzy dan operasi aritmatika.Secara umum bilangan fuzzy merupakan bilangan fuzzy segitiga. Dalam penelitian ini bilangan yang digunakan yaitu bilangan fuzzy segitiga karena bilangan fuzzy segitiga lebih mudah dan representasinya mendekati atau lebih dekat dengan logika konvensional. Adapun dalam menyelesaikan sistem persamaan fuzzy nonlinier dengan menggunakan metode Steepest Descent yaitu menentukan nilai awal dengan cara mengubah persamaan nonlinier dalam bentuk parameter, kemudian mencari titik potong yang sama atau mendekati dengan titik potong kurva yang sebenarnya, titik potong yang didapatkan disubtitusikan ke sistem persamaan fuzzy nonlinier agar didapatkan nilai awal yang akan digunakan dalam menyelesaikan sistem persamaan fuzzy nonlinier dengan menggunakan metode Steepest Descent. Penyelesaian dengan menggunakan metode Steepest Descent yaitu menghitung nilai g dengan menggunakan nilai pendekatan awal, kemudian menetukan arahyang mengakibatkan penurunan pada nilai g, selanjutnya pindahkan nilai pendekatan pada arahnya dan tentukan hasil yang baru, dan Ulangi langkah pertama sampai terakhir untuk diganti dengan, error yang digunakan yaitu 510. Penulis dapat menyimpulkan bahwa dalam mencari penyelesaian sistem persamaan fuzzy nonlinier lebih akurat menggunakan metode Steepest Descent walaupun kecepatan dalam menyelesaikan lebih rendah dibandingkan dengan metode newton lainnya karena solusi yang dihasilkan dari metode Steepest Descent akan konvergen.


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