g-INVERS KUADRAT TERKECIL, g-INVERS NORM MINIMUM, dan INVERS MOORE PENROSE

Authors

  • Sri Rahayu Ningsih
  • Nova Noliza Bakar
  • Monika Rianti Helmi

DOI:

https://doi.org/10.25077/jmu.7.2.204-211.2018

Abstract

Abstrak. Generalisasi invers (g-invers) adalah salah satu jenis invers matriks. Tidak
hanya pada matriks biasa, g-invers juga berlaku pada matriks fuzzy. Untuk setiap ma-
triks fuzzy A berukuran m n, terdapat matriks X 2 Fnm sehingga memenuhi bebe-
rapa persamaan Penrose. Matriks X 2 Fnm dikatakan g-invers dari A, jika X minimal
memenuhi persamaan yang pertama dari persamaan Penrose yaitu AXA = A dengan
menggunakan operasi penjumlahan dan perkalian pada matriks fuzzy. Pada jurnal ini
dibahas bagaimana sifat-sifat dari g-invers kuadrat terkecil, g-invers norm minimum,
dan invers Moore Penrose pada matriks fuzzy.
Kata Kunci: Generalisasi invers, matriks fuzzy, persamaan Penrose, matriks regular,g-
invers kuadrat terkecil, g-invers norm minimum, dan invers Moore Penrose

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Published

01-05-2018

Issue

Vol. 7 No. 2 (2018)

Section

Articles

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