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Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 15 Sayı: 2

On the Generalization of Soft Dimonoids

Gülay Oğuz(Harran üniversitesi)0000-0003-4302-8401
Pages
692–699
Publication Date
2025-06-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The substructures of soft hyperdimonoids, which are defined as a generalisation of soft dimonoids, are examined and some structural properties are also studied in detail.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Different models have been developed for solving complex problems involving uncertainty in many fields, especially in mathematics, engineering, medicine and computer sciences.
📊
Key Findings & Data:Soft set theory, proposed by the Russian mathematician Molodtsov, is one of these models.
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Conclusion & Impact:The substructures of soft hyperdimonoids, which are defined as a generalisation of soft dimonoids, are examined and some structural properties are also studied in detail.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:soft hyperdimonoid · soft subhyperdimonoid. · soft sets hyperdiominds

Abstract

Different models have been developed for solving complex problems involving uncertainty in many fields, especially in mathematics, engineering, medicine and computer sciences. Soft set theory, proposed by the Russian mathematician Molodtsov, is one of these models. Soft sets have reached a wide potential by being applied to various areas. In this study, soft hyperdimonoids are introduced by presenting a soft approach to the concept of hyperdimomoids, which is a generalisation of dimonoids. The substructures of soft hyperdimonoids, which are defined as a generalisation of soft dimonoids, are examined and some structural properties are also studied in detail.

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Cite This Article

Oğuz, G. (2025). On the Generalization of Soft Dimonoids. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 15 Sayı: 2, 692–699. https://doi.org/10.21597/jist.1544594

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