Penyelesaian masalah transportasi fuzzy multi-objektif menggunakan bilangan fuzzy segitiga dengan pendekatan rata-rata harmonik

Kurnia, Muchamad Ari (2026) Penyelesaian masalah transportasi fuzzy multi-objektif menggunakan bilangan fuzzy segitiga dengan pendekatan rata-rata harmonik. Sarjana thesis, UIN Sunan Gunung Djati Bandung.

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Abstract

INDONESIA : Penelitian ini bertujuan memformulasikan dan menyelesaikan masalah transportasi fuzzy multi-objektif yang melibatkan kriteria biaya, waktu, dan jarak tempuh secara simultan di bawah ketidakpastian. Ketidakpastian parameter dimodelkan menggunakan bilangan fuzzy segitiga dan dibagi ke dalam kerangka Three-Level Crisp. Penggabungan multi objektif dilakukan melalui pembobotan rata-rata harmonik untuk memitigasi risiko, diikuti proses alokasi berbasis reduksi matriks dan penentuan nilai tegas melalui deffuzifikasi menggunakan fungsi ranking. Pengujian dilakukan pada studi kasus matriks 4 × 6 serta stress testing simulasi berukuran 10 × 10 hingga 100 × 100. Hasil evaluasi menggunakan indikator Mean Absolute Percentage Error (MAPE) menunjukkan bahwa alokasi yang dihasilkan selalu memenuhi kendala kelayakan (feasible) dan memiliki akurasi tinggi mendekati solusi yang dihasilkan oleh eksak komputer. ENGLISH : This study aims to formulate and solve a multi-objective fuzzy transportation problem that simultaneously considers cost, time, and travel distance criteria under uncertainty. Parameter uncertainty is modeled using triangular fuzzy numbers and structured into a Three-Level Crisp framework. Multi-objective aggregation is performed through harmonic mean weighting to mitigate risks, followed by a matrix reduction-based allocation process and crisp value determination via defuzzification using a ranking function. Testing was conducted on a4×6 matrix case study alongside simulation stress testing ranging from 10×10 to 100×100. Evaluation results using the Mean Absolute Percentage Error (MAPE) indicator demonstrate that the resulting allocations consistently satisfy feasibility constraints and achieve high accuracy close to the exact computer solutions.

Item Type: Thesis (Sarjana)
Uncontrolled Keywords: Masalah Transportasi Fuzzy Multi-Objektif; Bilangan Fuzzy Segitiga; Rata-Rata Harmonik; Defuzzifikasi;
Subjects: Mathematics
Divisions: Fakultas Sains dan Teknologi > Program Studi Matematika
Depositing User: Muchamad Ari Kurnia
Date Deposited: 09 Sep 2026 03:42
Last Modified: 09 Sep 2026 03:42
URI: https://digilib.uinsgd.ac.id/id/eprint/141368

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