DOAJ Open Access 2024

PERMANENT AND DOMINANT OF MATRIX OVER INTERVAL MIN-PLUS ALGEBRA

Ade Safira Septiany Siswanto Siswanto Vika Yugi Kurniawan

Abstrak

A min-plus algebra is a set , where is the set of all real numbers equipped with two binary operations, namely minimum and addition . Every square matrix in min-plus algebra can always be calculated as a permanent and dominant matrix. The min-plus algebra can be extended to an interval min-plus algebra, where the elements are closed intervals denoted with two binary operations, minimum and addition . Min-plus interval algebra can be defined in a square matrix. This research will discuss the permanent and dominant a matrix over min-plus interval algebra, the relationship between permanent and dominant matrix, and bideterminant matrix over min-plus interval algebra. From the research results obtained, permanent and dominant formulas, it found that the dominant is greater than or equal to the permanent and the bideterminant formulas.

Penulis (3)

A

Ade Safira Septiany

S

Siswanto Siswanto

V

Vika Yugi Kurniawan

Format Sitasi

Septiany, A.S., Siswanto, S., Kurniawan, V.Y. (2024). PERMANENT AND DOMINANT OF MATRIX OVER INTERVAL MIN-PLUS ALGEBRA. https://doi.org/10.30598/barekengvol18iss3pp2029-2034

Akses Cepat

Informasi Jurnal
Tahun Terbit
2024
Sumber Database
DOAJ
DOI
10.30598/barekengvol18iss3pp2029-2034
Akses
Open Access ✓