?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=PENYELESAIAN+SISTEM+PERSAMAAN+FULLY+FUZZY+DAN+DUAL%0D%0AFULLY+FUZZY+NON+LINEAR+DENGAN+MENGGUNAKAN+ALGORITMA%0D%0AOPTIMASI+CHAOS+DAN+METODE+NEWTON+RAPHSON+GANDA&rft.creator=RAFIQ+ARSSY%2C+ARIFA&rft.subject=500+ilmu+pengetahuan+alam+dan+matematika&rft.subject=510+Matematika&rft.description=Fully+fuzzy+and+dual+fully+fuzzy+non+linear+equation+systems+are+sets+of+non+linear%0D%0Aequations+where+all+parameters+are+fuzzy+numbers.+Non+linear+equation+systems+are%0D%0Ainherently+difficult+to+solve+analytically%2C+making+numerical+methods+one+of+the%0D%0Aviable+alternatives+for+their+solution.+In+this+research%2C+a+combination+of+the+Chaos%0D%0AOptimization+Algorithm+and+the+Double+Newton+Raphson+method+is+used+to+solve%0D%0Afully+fuzzy+and+dual+fully+fuzzy+non+linear+equation+systems.+The+solution+from+the%0D%0A%0D%0AChaos+Optimization+Algorithm+is+used+as+the+initial+value+in+the+Double+Newton-%0D%0ARaphson+method.+As+an+illustration%2C+several+case+studies+from+previous+research%0D%0A%0D%0Arelated+to+fully+fuzzy+and+dual+fully+fuzzy+non+linear+systems+using+triangular+and%0D%0Atrapezoidal+fuzzy+numbers%2C+solved+with+the+proposed+method%2C+are+presented.+The%0D%0Aresearch+results+show+that+this+combined+method+is+effective+in+solving+fully+fuzzy%0D%0Aand+dual+fully+fuzzy+non+linear+equation+systems.+The+numerical+solutions+obtained%0D%0Aare+close+to+the+exact+solutions%2C+have+small+errors%2C+require+fewer+iterations%2C+and+have%0D%0Afast+computation+times.%0D%0AKeywords%3A+fully+fuzzy+and+dual+fully+fuzzy+nonlinear+equation+system%2C+chaos%0D%0Aoptimization+algorithm%2C+double+newton+raphson+method.%0D%0A%0D%0ASistem+persamaan+fully+fuzzy+dan+dual+fully+fuzzy+non+linear+adalah+kumpulan%0D%0Apersamaan+non+linear+dengan+semua+parameternya+berupa+bilangan+fuzzy.+Sistem%0D%0Apersamaan+non+linear+pada+dasarnya+sulit+untuk+diselesaikan+secara+analitik%2C%0D%0Asehingga+metode+numerik+menjadi+salah+satu+alternatif+untuk+menyelesaikannya.%0D%0APada+penelitian+ini+dilakukan+penggabungan+antara+Algoritma+Optimasi+Chaos+dan%0D%0Ametode+Newton+Raphson+Ganda+untuk+menyelesaikan+sistem+persamaan+fully+fuzzy%0D%0Adan+dual+fully+fuzzy+non+linear.+Solusi+dari+Algoritma+Optimasi+Chaos+dijadikan%0D%0Asebagai+nilai+awal+pada+metode+Newton+Raphson+Ganda.+Sebagai+ilustrasi%2C%0D%0Adisajikan+beberapa+contoh+kasus+dari+penelitian+terdahulu+terkait+dengan+sistem%0D%0Apersamaan+fully+fuzzy+dan+dual+fully+fuzzy+non+linear+menggunakan+bilangan+fuzzy%0D%0Asegitiga+dan+bilangan+fuzzy+trapesium+yang+diselesaikan+dengan+metode+yang%0D%0Adiajukan.+Hasil+penelitian+menunjukkan+bahwa+gabungan+metode+ini+efektif+untuk%0D%0Amenyelesaikan+sistem+persamaan+fully+fuzzy+dan+dual+fully+fuzzy+non+linear.+Solusi%0D%0Anumerik+yang+dihasilkan+mendekati+solusi+eksak%2C+memiliki+galat+yang+kecil%2C+jumlah%0D%0Aiterasi+yang+lebih+sedikit+dan+waktu+komputasi+yang+cepat.%0D%0AKata+kunci+%3A+sistem+persamaan+fully+fuzzy+dan+dual+fully+fuzzy+non+linear%2C+algoritma%0D%0Aoptimasi+chaos%2C+metode+newton+raphson+ganda.&rft.publisher=FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM&rft.date=2024-07-11&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F82968%2F1%2F2017031056%2520-%2520Rafiq%2520Arssy%2520Arifa%2520-%2520Abstrak%2520-%2520Rafiq%2520Arssy%2520Arifa.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F82968%2F2%2F2017031056%2520-%2520Rafiq%2520Arssy%2520Arifa%2520-%2520Full%2520Skripsi%2520-%2520Rafiq%2520Arssy%2520Arifa.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F82968%2F3%2F2017031056%2520-%2520Rafiq%2520Arssy%2520Arifa%2520-%2520Tanpa%2520Pembahasan%2520-%2520Rafiq%2520Arssy%2520Arifa.pdf&rft.identifier=++RAFIQ+ARSSY%2C+ARIFA++(2024)+PENYELESAIAN+SISTEM+PERSAMAAN+FULLY+FUZZY+DAN+DUAL+FULLY+FUZZY+NON+LINEAR+DENGAN+MENGGUNAKAN+ALGORITMA+OPTIMASI+CHAOS+DAN+METODE+NEWTON+RAPHSON+GANDA.++FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM%2C+UNIVERSITAS+LAMPUNG.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F82968%2F