Fuzzy and Neutrosophic Directed Superhypergraphs: Definitions, Properties, and Illustrative Real-World Applications in Decision-Making.
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| Title: | Fuzzy and Neutrosophic Directed Superhypergraphs: Definitions, Properties, and Illustrative Real-World Applications in Decision-Making. |
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| Authors: | Fujita, Takaaki Takaaki.fujita060@gmail.com, Smarandache, Florentin1 fsmarandache@gmail.com |
| Source: | IAENG International Journal of Applied Mathematics. May2026, Vol. 56 Issue 5, p1681-1701. 21p. |
| Subjects: | Hypergraphs, Fuzzy sets, Mathematical models, Neutrosophic logic, Graph theory, Decision support systems |
| Abstract: | Graph theory examines mathematical structures composed of vertices and edges to model relationships and connectivity. Hypergraphs generalize classical graphs by permitting hyperedges that connect more than two vertices simultaneously. Hypergraphs have been further extended to directed hypergraphs. Superhypergraphs build on this idea by introducing iterated powerset layers, enabling hierarchical and selfreferential connections among hyperedges. Superhypergraphs have likewise been extended to directed superhypergraphs. These graph concepts have been enriched by frameworks such as fuzzy sets, soft sets, intuitionistic fuzzy sets, neutrosophic sets, hesitant fuzzy sets, and plithogenic sets. In this paper, we introduce and explore the concepts of Fuzzy Directed Superhypergraphs and Neutrosophic Directed Superhypergraphs. To enhance understanding and support future applications, we also provide concrete examples involving real-world decisionmaking scenarios. We expect that these contributions will stimulate further research in the areas of superhypergraphs, hypergraphs, fuzzy graphs, neutrosophic graphs, and other related mathematical frameworks. [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: 193517528 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Fuzzy and Neutrosophic Directed Superhypergraphs: Definitions, Properties, and Illustrative Real-World Applications in Decision-Making. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Fujita%2C+Takaaki%22">Fujita, Takaaki</searchLink><i> Takaaki.fujita060@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Smarandache%2C+Florentin%22">Smarandache, Florentin</searchLink><relatesTo>1</relatesTo><i> fsmarandache@gmail.com</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>. May2026, Vol. 56 Issue 5, p1681-1701. 21p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Hypergraphs%22">Hypergraphs</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+sets%22">Fuzzy sets</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Neutrosophic+logic%22">Neutrosophic logic</searchLink><br /><searchLink fieldCode="DE" term="%22Graph+theory%22">Graph theory</searchLink><br /><searchLink fieldCode="DE" term="%22Decision+support+systems%22">Decision support systems</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Graph theory examines mathematical structures composed of vertices and edges to model relationships and connectivity. Hypergraphs generalize classical graphs by permitting hyperedges that connect more than two vertices simultaneously. Hypergraphs have been further extended to directed hypergraphs. Superhypergraphs build on this idea by introducing iterated powerset layers, enabling hierarchical and selfreferential connections among hyperedges. Superhypergraphs have likewise been extended to directed superhypergraphs. These graph concepts have been enriched by frameworks such as fuzzy sets, soft sets, intuitionistic fuzzy sets, neutrosophic sets, hesitant fuzzy sets, and plithogenic sets. In this paper, we introduce and explore the concepts of Fuzzy Directed Superhypergraphs and Neutrosophic Directed Superhypergraphs. To enhance understanding and support future applications, we also provide concrete examples involving real-world decisionmaking scenarios. We expect that these contributions will stimulate further research in the areas of superhypergraphs, hypergraphs, fuzzy graphs, neutrosophic graphs, and other related mathematical frameworks. [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: 21 StartPage: 1681 Subjects: – SubjectFull: Hypergraphs Type: general – SubjectFull: Fuzzy sets Type: general – SubjectFull: Mathematical models Type: general – SubjectFull: Neutrosophic logic Type: general – SubjectFull: Graph theory Type: general – SubjectFull: Decision support systems Type: general Titles: – TitleFull: Fuzzy and Neutrosophic Directed Superhypergraphs: Definitions, Properties, and Illustrative Real-World Applications in Decision-Making. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Fujita, Takaaki – PersonEntity: Name: NameFull: Smarandache, Florentin IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 56 – Type: issue Value: 5 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
| ResultId | 1 |
