Hyperfuzzy Solvable and Nilpotent Lie Algebras: Theory and Applications.
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| Title: | Hyperfuzzy Solvable and Nilpotent Lie Algebras: Theory and Applications. |
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| Authors: | M., Priyanka1 riyanka@veltechmultitech.org, T., Vijayalakshmi2 vijayalt3@srmist.edu.in, S., Vignesh3 vigneshsubu74@gmail.com, G., Ganapathy4 barathganagandhi@gmail.com |
| Source: | IAENG International Journal of Applied Mathematics. Jul2026, Vol. 56 Issue 7, p2396-2404. 9p. |
| Subjects: | Lie algebras, Nilpotent Lie groups, Fuzzy sets, Mathematics, Approximate reasoning, Mathematical series |
| Abstract: | This paper presents a structural theory of hyperfuzzy solvable and nilpotent Lie algebras, extending classical algebraic concepts through the lens of graded membership. By introducing hyperfuzzy derived and central series, we establish rigorous criteria supported by illustrative examples. The proposed framework enhances flexibility in modeling uncertainty and demonstrates practical advantages over traditional crisp methods in algebraic analysis and applied contexts. [ABSTRACT FROM AUTHOR] |
| Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 195026872 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 2396 Subjects: – SubjectFull: Lie algebras Type: general – SubjectFull: Nilpotent Lie groups Type: general – SubjectFull: Fuzzy sets Type: general – SubjectFull: Mathematics Type: general – SubjectFull: Approximate reasoning Type: general – SubjectFull: Mathematical series Type: general Titles: – TitleFull: Hyperfuzzy Solvable and Nilpotent Lie Algebras: Theory and Applications. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: M., Priyanka – PersonEntity: Name: NameFull: T., Vijayalakshmi – PersonEntity: Name: NameFull: S., Vignesh – PersonEntity: Name: NameFull: G., Ganapathy IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 56 – Type: issue Value: 7 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
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