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Open access Jurnal SINTA 3

PERMANENT AND DOMINANT OF MATRIX OVER INTERVAL MIN-PLUS ALGEBRA

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 18 No. 3 (2024) · pp. 2029–2034

DOI
10.30598/barekengvol18iss3pp2029-2034
ISSN
2615-3017, 1978-7227
Published
2024-08-02
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

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.

Collaboration network of the authors

40 authors · 126 co-authorship links · showing the 40 most connected

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  • Padjadjaran University
  • Universitas Halu Oleo
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Anisa KalondengAffiliation unknown4
Sri Astuti ThamrinAffiliation unknown3
Sitti SahrimanAffiliation unknown2
Andi Isna YunitaAffiliation unknown2
Andi M Alfin BasoAffiliation unknown2
M. Zaky Hisyam GozhiAffiliation unknown2
Nughthoh Arfawi KurdhiAffiliation unknown2
Chessa Fanny EkasiwiAffiliation unknown2
Nurtiti SunusiAffiliation unknown2
Raupong RaupongAffiliation unknown2
Ririn SetiyowatiAffiliation unknown2
Santoso Budi WiyonoAffiliation unknown2
Budi AyuningsihPadjadjaran University1
Iman HernamanPadjadjaran University1
Tidi DhalikaPadjadjaran University1
Destu Putra RosmawanAffiliation unknown1
Dedi RahmatPadjadjaran University1
Ansharullah AnsharullahUniversitas Halu Oleo1
Abdu Rahman BacoAffiliation unknown1
Alfiana AntohAffiliation unknown1
Yundy HafizriandaAffiliation unknown1
Anna IslamiyatiAffiliation unknown1
Hajratul Ashwad KAffiliation unknown1
Afifah Mutiah NurdinAffiliation unknown1
Muh. Indirwan ArfanAffiliation unknown1
Muhammad FadilAffiliation unknown1
A.Muthiah Nur AngrianyAffiliation unknown1
Rini JamalAffiliation unknown1
Andi FebriyantiAffiliation unknown1
Rahmiati RahimAffiliation unknown1
Nirwan IlyasAffiliation unknown1
Haksar HaksarAffiliation unknown1
Nurhaliza RaisAffiliation unknown1
Maryana MaharaniAffiliation unknown1
Rahmat HermawanAffiliation unknown1
Fadlan AminAffiliation unknown1
Ahmad Ryan Al AqshaAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">PERMANENT AND DOMINANT OF MATRIX OVER INTERVAL MIN-PLUS ALGEBRA</dc:title>
	<dc:creator>Septiany, Ade Safira</dc:creator>
	<dc:creator>Siswanto, Siswanto</dc:creator>
	<dc:creator>Kurniawan, Vika Yugi</dc:creator>
	<dc:description xml:lang="en-US">A min-plus algebra is a set  , where  &amp;nbsp;is the set of all real numbers equipped with two binary operations, namely minimum  &amp;nbsp;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  &amp;nbsp;with two binary operations, minimum  &amp;nbsp;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.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2024-08-02</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/12967</dc:identifier>
	<dc:identifier>10.30598/barekengvol18iss3pp2029-2034</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 18 No 3 (2024): BAREKENG: Journal of Mathematics and Its Application; 2029-2034</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol18iss3year2024</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/12967/8592</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2024 Ade Safira Septiany, Siswanto Siswanto, Vika Yugi Kurniawan</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>