CD Skripsi

Alternatif Proses Diagonalisasi Matriks Bilangan Fuzzy Triangular

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This final project discusses the alternative diagonalization process on the tri- angular fuzzy number matrix of size n n in parametric form. Many forms of arithmetic operations have been given by the author, especially triangular fuzzy numbers. For addition, subtraction and scalar multiplication operations there is not much difference while for multiplication, division and inverse there are many ways. However, the algebraic operations offered have some drawbacks for example, for any triangular fuzzy number p˜ = (p, α, β), does not necessarily apply p˜(r) (1/p˜(r)) = ˜i(r) . In this final project, an alternative arithmetic operation will be used for the multiplication, division and inverse operations of triangular fuzzy numbers by using the midpoint concept. This midpoint con- cept is then used to determine the eigenvalues and eigenvectors as well as the
inverse matrix of triangular fuzzy numbers. Meanwhile, to determine the cofa- ctor of the triangular fuzzy number matrix using C˜ij (r) = [ 1, 1]i+j M˜ij (r). Examples of calculations in determining eigenvalues and eigenvectors as well as cofactors and inverse of triangular fuzzy number matrix are given.

Keywords: Diagonalization of triangular fuzzy number matrix, eigenvalue and eigenvector of triangular fuzzy number matrix, cofactor triangular fuzzy number matrix, inverse of triangular fuzzy number matrix

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

1903112920

Penerbit

Pekanbaru : Universitas Riau – FMIPA – Matematika., 2024

Deskripsi Fisik

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Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

1903112920

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

Mutia

Versi lain/terkait

Lampiran Berkas

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