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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 68 Issue: 1

Actions of soft groups

Gülay Oguz0000-0003-4302-8401
İlhan Icen
M. Habil Gursoy
Pages
—
Publication Date
2019-02-01
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AI Summary & Key Takeaways

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

Finally, we define the concept of soft symmetric group and present the relation between the soft action and soft symmetric group, as a similar result to the classical Cayley's Theorem.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The soft set theory proposed by Molodtsov is a recent mathematical approach for modeling uncertainty and vagueness.
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Key Findings & Data:The main aim of this study is to introduce the concept of soft action by combining soft set theory with the action which is an important concept in dynamical systems theory.
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Conclusion & Impact:Finally, we define the concept of soft symmetric group and present the relation between the soft action and soft symmetric group, as a similar result to the classical Cayley's Theorem.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Soft set · soft group · soft action

Abstract

The soft set theory proposed by Molodtsov is a recent mathematical approach for modeling uncertainty and vagueness. The main aim of this study is to introduce the concept of soft action by combining soft set theory with the action which is an important concept in dynamical systems theory. Moreover, different types of soft action are presented and some important characterizations are given. Finally, we define the concept of soft symmetric group and present the relation between the soft action and soft symmetric group, as a similar result to the classical Cayley's Theorem.

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Cite This Article

Oguz, G., Icen, İ., Gursoy, M. H. (2019). Actions of soft groups. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 1. https://doi.org/10.31801/cfsuasmas.509926

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