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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1

α-inclusions applied to group theory via soft set and logic

Aslıhan SEZGİN
Naim ÇAĞMAN
Filiz ÇITAK
Pages
334–352
Publication Date
2019-02-01
DOI
—
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AI Summary & Key Takeaways

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

Finally, a new method used to construct a soft int-group with the help of its upper α-subgroups are introduced and an application of this method is given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Soft set theory, initiated by Molodtsov, is a tool for modeling various types of uncertainty.
📊
Key Findings & Data:It is also illustrated that a soft int-group and a soft uni-group can be obtained by its upper α-subgroups and lower α-subgroups, respectively.
💡
Conclusion & Impact:Finally, a new method used to construct a soft int-group with the help of its upper α-subgroups are introduced and an application of this method is given.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Soft sets · soft int-groups · soft uni-groups

Abstract

Soft set theory, initiated by Molodtsov, is a tool for modeling various types of uncertainty. In this paper, upper and lower α-inclusions of a soft set are defined. By using these new notions, some analyzes with respect to group theory are made and it is shown that some of the subgroups of a group can be obtained easily with the help of these notions. It is also illustrated that a soft int-group and a soft uni-group can be obtained by its upper α-subgroups and lower α-subgroups, respectively. Furthermore, soft int-group by its family of upper α-subgroups is characterized under a certain equivalence relation. Finally, a new method used to construct a soft int-group with the help of its upper α-subgroups are introduced and an application of this method is given.

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Cite This Article

SEZGİN, A., ÇAĞMAN, N., ÇITAK, F. (2019). α-inclusions applied to group theory via soft set and logic. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 68 - Sayı: 1, 334–352. https://ajindex.com/articles/747046

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