Volume 10 , Issue 2 , PP: 35-41, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
Mehmet Merkepci 1 * , Mohammad Abobala 2
Doi: https://doi.org/10.54216/FPA.100203
The objective of this paper is to introduce a novel security model for the encryption of uncertain rational data units represented as single-valued rational neutrosophic numbers by combining refined neutrosophic number theoretical concepts with the El Gamal public key crypto scheme. In addition, some applications on uncertain data units will be shown and illustrated.
El Gamal crypto scheme , neutrosophic integer Fusion , uncertain rational data unit , neutrosophic number , indeterminacy
[1] Adeleke, E.O, Agboola, A.A.A, and Smarandache, F. (2020). Refined Neutrosophic Rings I. International Journal of Neutrosophic Science. 2(2): 77-81,.
[2] Atanassov, K., (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems. 20: 87-96.
[3] Bhowmik, M., and Pal, M. (2009). Intuitionistic neutrosophic set, Journal of Information and Computing Science 2(4): 142-152.
[4] Broumi, S., and Smarandache, F. (2014). On Neutrosophic Implications. Neutrosophic Sets and Systems. 2: 9-17.
[5] Disheng Zheng , Kai Liang, Chaotic Butterfly Optimization with Optimal Multi-key Image Encryption Technique for Wireless Sensor Networks, Journal of Intelligent Systems and Internet of Things, Vol. 1 , No. 2 , (2020) : 80-92
[6] Ibrahim, M. and Abobala, M. (2021). An Introduction To Refined Neutrosophic Number Theory. Neutrosophic Sets and Systems. (45).
[7] Rivest, R. Shamir, Adleman, A. (1975). A Method for Obtaining Digital Signatures and Public-Key Cryptosystems. Communications of the ACM (21): 120-126.
[8] Smarandache, F. (1999). A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set, and Logic. Rehoboth: American Research Press.
[9] Smarandache, F., (2005). Neutrosophic set, a generalization of the intuitionistic fuzzy sets. International Journal of Pure and Applied Mathematics. (24): 287–297.
[10] Zadeh, L. A., (1965), Fuzzy sets. Inform. and Control. (8): 338-353.
[11] Merkepci, M., and Sarkis, M., " An Application of Pythagorean Circles In Cryptography And Some Ideas For Future Non-Classical Systems", Galoitica Journal Of Mathematical Structures and Applications, 2022.