Interval valued Picture Fuzzy Almost Bi-Quasi-Interior Ideals in Semigroups.
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| Title: | Interval valued Picture Fuzzy Almost Bi-Quasi-Interior Ideals in Semigroups. |
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| Authors: | Khamrot, Pannawit1 pk_g@rmutl.ac.th, Iampan, Aiyared2 aiyared.ia@up.ac.th, Gaketem, Thiti3 thiti.ga@up.ac.th |
| Source: | IAENG International Journal of Applied Mathematics. Feb2026, Vol. 56 Issue 2, p777-783. 7p. |
| Subjects: | Ideals (Algebra), Semigroups (Algebra), Fuzzy sets, Mathematics |
| Abstract: | Ideal theory plays a significant role in the study of various algebraic structures. The notion of an almost ideal in semigroups was first introduced by Grosek and Stako in 1980 as a generalization of the classical ideal. Later, in 2021, T. Gaketem extended this concept by defining interval-valued fuzzy almost (m, n)-ideals in semigroups. Building on these developments, the present paper introduces the concept of interval valued picture fuzzy almost bi-quasi-interior ideals in semigroups. We establish fundamental properties of these new structures and explore the relationships between almost bi-quasi-interior ideals and their interval valued picture fuzzy counterparts within semigroups. [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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 191342814 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Interval valued Picture Fuzzy Almost Bi-Quasi-Interior Ideals in Semigroups. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Khamrot%2C+Pannawit%22">Khamrot, Pannawit</searchLink><relatesTo>1</relatesTo><i> pk_g@rmutl.ac.th</i><br /><searchLink fieldCode="AR" term="%22Iampan%2C+Aiyared%22">Iampan, Aiyared</searchLink><relatesTo>2</relatesTo><i> aiyared.ia@up.ac.th</i><br /><searchLink fieldCode="AR" term="%22Gaketem%2C+Thiti%22">Gaketem, Thiti</searchLink><relatesTo>3</relatesTo><i> thiti.ga@up.ac.th</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Feb2026, Vol. 56 Issue 2, p777-783. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Ideals+%28Algebra%29%22">Ideals (Algebra)</searchLink><br /><searchLink fieldCode="DE" term="%22Semigroups+%28Algebra%29%22">Semigroups (Algebra)</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+sets%22">Fuzzy sets</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Ideal theory plays a significant role in the study of various algebraic structures. The notion of an almost ideal in semigroups was first introduced by Grosek and Stako in 1980 as a generalization of the classical ideal. Later, in 2021, T. Gaketem extended this concept by defining interval-valued fuzzy almost (m, n)-ideals in semigroups. Building on these developments, the present paper introduces the concept of interval valued picture fuzzy almost bi-quasi-interior ideals in semigroups. We establish fundamental properties of these new structures and explore the relationships between almost bi-quasi-interior ideals and their interval valued picture fuzzy counterparts within semigroups. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>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.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 777 Subjects: – SubjectFull: Ideals (Algebra) Type: general – SubjectFull: Semigroups (Algebra) Type: general – SubjectFull: Fuzzy sets Type: general – SubjectFull: Mathematics Type: general Titles: – TitleFull: Interval valued Picture Fuzzy Almost Bi-Quasi-Interior Ideals in Semigroups. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Khamrot, Pannawit – PersonEntity: Name: NameFull: Iampan, Aiyared – PersonEntity: Name: NameFull: Gaketem, Thiti IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 56 – Type: issue Value: 2 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
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