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Open access Jurnal SINTA 3

LEVEL SOFT GROUP AND ITS PROPERTIES

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 19 No. 3 (2025) · pp. 2263–2274

DOI
10.30598/barekengvol19iss3pp2263-2274
ISSN
2615-3017, 1978-7227
Published
2025-07-01
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

In this paper, we present an application of fuzzy subset and fuzzy subgroup to a soft set and a soft group, thereby creating a soft set and a soft group within the same group. Furthermore, we refer to the soft and soft groups as level soft sets and level soft groups. We also found out the level of soft sets and the operations on soft sets, such as intersection, union, and subset. We also examine what conditions a fuzzy subgroup and a soft group must meet to form a level soft group. Moreover, we scrutinize the properties of operations on a soft set, specifically intersection, union, and AND, and apply them to the level soft group to ascertain if they consistently produce a level soft group over the same set. Furthermore, we investigate the formation of a level soft and level soft group resulting from the homomorphism of the group and soft group. The research findings can enrich studies on the relationships between structures in fuzzy subgroups and soft groups and the application of soft group levels in further research.

Collaboration network of the authors

31 authors · 60 co-authorship links

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

  • Universitas Halu Oleo
  • State University of Semarang
  • Institut Agama Islam Negeri Kendari
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Dewi Sri SusantiAffiliation unknown2
Aminah MuliawatiAffiliation unknown2
La HarimuAffiliation unknown1
I Wayan SuamaAffiliation unknown1
Andi Besse PatadjaiAffiliation unknown1
Muhammad Syukri SadimantaraUniversitas Halu Oleo1
Subhan SubhanState University of Semarang1
Baru SadarunAffiliation unknown1
Arifuddin ArifuddinUniversitas Halu Oleo1
Intihanah IntihanahAffiliation unknown1
Aminuddin AminuddinInstitut Agama Islam Negeri Kendari1
Muhammad BasriAffiliation unknown1
Rahmad PrajonoAffiliation unknown1
La Ndia La NdiaAffiliation unknown1
Arika FebrianiAffiliation unknown1
Dewi AnggrainiAffiliation unknown1
Irma Sari YuliantiAffiliation unknown1
Yuni YulidaAffiliation unknown1
Agung Setyo WirantoAffiliation unknown1
Muhammad Ahsar KarimAffiliation unknown1
Oni SoesantoAffiliation unknown1
Jusmawati MassalesseAffiliation unknown1
Muh NurAffiliation unknown1
I Gede Adhitya Wisnu WardhanaAffiliation unknown1
Sefti Fajriatul MusyarrofahAffiliation 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">LEVEL SOFT GROUP AND ITS PROPERTIES</dc:title>
	<dc:creator>Abdurrahman, Saman</dc:creator>
	<dc:creator>Idris, Mochammad</dc:creator>
	<dc:creator>Faisal, Faisal</dc:creator>
	<dc:creator>Hijriati, Na’imah</dc:creator>
	<dc:creator>Thresye, Thresye</dc:creator>
	<dc:creator>Lestia, Aprida Siska</dc:creator>
	<dc:description xml:lang="en-US">In this paper, we present an application of fuzzy subset and fuzzy subgroup to a soft set and a soft group, thereby creating a soft set and a soft group within the same group. Furthermore, we refer to the soft and soft groups as level soft sets and level soft groups. We also found out the level of soft sets and the operations on soft sets, such as intersection, union, and subset. We also examine what conditions a fuzzy subgroup and a soft group must meet to form a level soft group. Moreover, we scrutinize the properties of operations on a soft set, specifically intersection, union, and AND, and apply them to the level soft group to ascertain if they consistently produce a level soft group over the same set. Furthermore, we investigate the formation of a level soft and level soft group resulting from the homomorphism of the group and soft group. The research findings can enrich studies on the relationships between structures in fuzzy subgroups and soft groups and the application of soft group levels in further research.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2025-07-01</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/15922</dc:identifier>
	<dc:identifier>10.30598/barekengvol19iss3pp2263-2274</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 19 No 3 (2025): BAREKENG: Journal of Mathematics and Its Application; 2263-2274</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol19iss3year2025</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/15922/10797</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2025 Saman Abdurrahman, Mochammad Idris, Faisal Faisal, Na’imah Hijriati, Threye Threye, Aprida Siska Lestia</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>