An advanced encryption system based on soft sets
Given the application domains of soft set theory, such as decision-making processes, image processing, machine learning, and data mining, it is natural to consider that this theory could be utilized more effectively in encryption systems. A review of the literature reveals that soft set-based encryp...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-11-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241547?viewType=HTML |
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| author | Erdal Bayram Gülşah Çelik Mustafa Gezek |
| author_facet | Erdal Bayram Gülşah Çelik Mustafa Gezek |
| author_sort | Erdal Bayram |
| collection | DOAJ |
| description | Given the application domains of soft set theory, such as decision-making processes, image processing, machine learning, and data mining, it is natural to consider that this theory could be utilized more effectively in encryption systems. A review of the literature reveals that soft set-based encryption systems have been explored in a limited number of studies. This study seeks to develop a new approach for soft sets in encryption systems by utilizing newly introduced algebraic and topological tools. In this system, parties will be able to generate encryption keys independently using soft sets they determine themselves rather than through prior mutual agreement. Additionally, the method of key generation and the size of the key space in the resulting encryption system provides a more secure and distinct alternative compared to existing soft set-based encryption systems. |
| format | Article |
| id | doaj-art-a8dc6a0a2df94481b7798b7c585fd329 |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-a8dc6a0a2df94481b7798b7c585fd3292025-08-20T02:22:45ZengAIMS PressAIMS Mathematics2473-69882024-11-01911322323225610.3934/math.20241547An advanced encryption system based on soft setsErdal Bayram 0Gülşah Çelik 1Mustafa Gezek2Department of Mathematics, Tekirdağ Namık Kemal University, Tekirdağ 59030, TürkiyeDepartment of Mathematics, Tekirdağ Namık Kemal University, Tekirdağ 59030, TürkiyeDepartment of Mathematics, Tekirdağ Namık Kemal University, Tekirdağ 59030, TürkiyeGiven the application domains of soft set theory, such as decision-making processes, image processing, machine learning, and data mining, it is natural to consider that this theory could be utilized more effectively in encryption systems. A review of the literature reveals that soft set-based encryption systems have been explored in a limited number of studies. This study seeks to develop a new approach for soft sets in encryption systems by utilizing newly introduced algebraic and topological tools. In this system, parties will be able to generate encryption keys independently using soft sets they determine themselves rather than through prior mutual agreement. Additionally, the method of key generation and the size of the key space in the resulting encryption system provides a more secure and distinct alternative compared to existing soft set-based encryption systems.https://www.aimspress.com/article/doi/10.3934/math.20241547?viewType=HTMLencryptionmaximum and minimum operatorssoft computingsoft cryptosystemsoft sets |
| spellingShingle | Erdal Bayram Gülşah Çelik Mustafa Gezek An advanced encryption system based on soft sets AIMS Mathematics encryption maximum and minimum operators soft computing soft cryptosystem soft sets |
| title | An advanced encryption system based on soft sets |
| title_full | An advanced encryption system based on soft sets |
| title_fullStr | An advanced encryption system based on soft sets |
| title_full_unstemmed | An advanced encryption system based on soft sets |
| title_short | An advanced encryption system based on soft sets |
| title_sort | advanced encryption system based on soft sets |
| topic | encryption maximum and minimum operators soft computing soft cryptosystem soft sets |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241547?viewType=HTML |
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