# Penyelesaian Sistem Persamaan Linier Fully Fuzzy Menggunakan Metode Dekomposisi Nilai Singular (SVD)

• Corry Corazon Marzuki UIN Sultan Syarif Kasim Riau
• Agustian` Agustian` UIN Sultan Syarif Kasim Riau
• Dewi Hariati UIN Sultan Syarif Kasim Riau
• Junitis Afmilda UIN Sultan Syarif Kasim Riau
• Nurul Husna UIN Sultan Syarif Kasim Riau
• Putra Nanda UIN Sultan Syarif Kasim Riau
Keywords: fuzzy, fully fuzzy linear equation system, singular value decomposition (SVD)

### Abstract

Linear equation system can be arranged into the AX = B matrix equation. Constants in linear can also contain fuzzy numbers and all their parameters in fuzzy numbers known as fully fuzzy linear equation systems. singular value decomposition (SVD) is a method that decomposes an A matrix into three components of the USVH. The SVD method can be used to find a solution to the fully fuzzy fully linear equation system that is also an inconsistent fully fuzzy linear equation system. The solution obtained from a fully fuzzy linear equation system that is consistent using SVD is a single solution and many solutions. Whereas, the solution obtained from a fully fuzzy linear equation system that is inconsistent using SVD is the best approach solution.

### References

Haidir Ahmad, Irdam dan Lucia Ratnasari. “Menyelesaikan Sistem Persamaan Linear Menggunakan Analisis SVD”. Jurnal Matematika Vol. 13, No.1;40-45. 2010..

Rosalina. F, Farida. Y, and Hamid. A. “Metode Logika Fuzzy Sebagai Evaluasi Distribusi Daya Listrik Berdasarkan Beban Puncak Pembangkit Tenaga Listrik”, mantik, Vol. 2, No. 1, : 22-29.2016.

Howard, Anton. “Elementary Linear Algebra”, Eighth Edition. John Wiley, New York. 2000.

Kholifah. Penyelesaian Sistem Persamaan Linear Fully Fuzzy Menggunakan Metode Gauss Saidel. Pekanbaru: SKRIPSI Jurusan Matematika Universitas Islam Negeri Sultan Syarif Kasim Riau. 2013.

K. Jaikumar and S. Sunantha. “SST Decomposition Methot for Solving Fully Fuzzy Linear Systems”.Int. J. Industrial Mathematics. Vol. 5, No. 4. 2013.

Sutojo, T. dkk. “Teori dan Aplikasi Aljabar Linear dan Matriks”. Andi: Yogyakarta. 2010.

Marni, Sabrina Indah. Penyelesaian Sistem Persamaan Linear Fuzzy Menggunakan Metode Dekomposisi Nilai Singular (SVD): SKRIPSI Jurusan Matematika Universitas Islam Negeri Sultan Syarif Kasim Riau. 2013.

Marzuki, Corry Corazon dan Herawati. “Penyelesaian Sistem Persamaan Linear Fully Fuzzy Menggunakan Iterasi Jacobi”. Vol. 1, No.1, ISSN: 2460-4542, Januari 2015, Pekanbaru. (2015).

Published
2018-10-31
How to Cite
Marzuki, C., Agustian`A., Hariati, D., Afmilda, J., Husna, N., & Nanda, P. (2018). Penyelesaian Sistem Persamaan Linier Fully Fuzzy Menggunakan Metode Dekomposisi Nilai Singular (SVD). Jurnal Matematika "MANTIK&quot;, 4(2), 143-149. https://doi.org/10.15642/mantik.2018.4.2.143-149
Issue
Section
Articles