Melola Discovery

← Melola Discovery

Open access Jurnal SINTA 3

LEVEL SOFT SEMIRING FROM FUZZY SUBSEMIRING

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 20 No. 3 (2026) · pp. 2245–2258

DOI
10.30598/barekengvol20iss3pp2245-2258
ISSN
2615-3017, 1978-7227
Published
2026-04-08
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

This paper introduces the concept of a level soft set and a level soft semiring over a semiring derived from a fuzzy subsemiring. By employing the level subset approach of fuzzy sets, we construct soft structures whose images form subsemirings of the underlying semiring. Several fundamental properties of level soft semirings are established, including their behavior under intersection, union, and AND operations. These results extend classical semiring theory into the fuzzy–soft framework and provide a rigorous algebraic foundation for further theoretical developments. The proposed framework may serve as a basis for future applications in information systems, decision-making, and computational algebra.

Collaboration network of the authors

7 authors · 17 co-authorship links

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Faisal FaisalAffiliation unknown2
Na'imah HijriatiAffiliation unknown2
Mochammad IdrisAffiliation unknown2
Aprida Siska LestiaAffiliation unknown2
Aminah MuliawatiAffiliation unknown2

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) 
<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en-US">LEVEL SOFT SEMIRING FROM FUZZY SUBSEMIRING</dc:title>
	<dc:creator>Abdurrahman, Saman</dc:creator>
	<dc:creator>Thresye, Thresye</dc:creator>
	<dc:description xml:lang="en-US">This paper introduces the concept of a level soft set and a level soft semiring over a semiring derived from a fuzzy subsemiring. By employing the level subset approach of fuzzy sets, we construct soft structures whose images form subsemirings of the underlying semiring. Several fundamental properties of level soft semirings are established, including their behavior under intersection, union, and AND operations. These results extend classical semiring theory into the fuzzy–soft framework and provide a rigorous algebraic foundation for further theoretical developments. The proposed framework may serve as a basis for future applications in information systems, decision-making, and computational algebra.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2026-04-08</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/21267</dc:identifier>
	<dc:identifier>10.30598/barekengvol20iss3pp2245-2258</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 20 No 3 (2026): BAREKENG: Journal of Mathematics and Its Application; 2245-2258</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol20iss3year2026</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/21267/12639</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2026 Saman Abdurrahman, Thresye Thresye</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>