Volume 26 • Issue 2 • PP: 67-77 • 2025
A Study On Neutrosophic UP-algebra
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© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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In this paper we apply the neutrosophic set on the concept of the UP-algebra to obtain some types of neurosophic sets satisfies certain conditions which are called neutrosophic Up-subalgebras. Several types of these neutrosophic Up-subalgebras are introduced and their properties are investigated. Also, illustrative examples are given when they are needed.
Keywords
References
[1] M. A. Ansari, A. Haidar, and N. A. Koam, On a graph associated to UP-algebras, Mathe- matical and Computational Applications 23.4 (2018), pp. 1–12.
[2] V. Traneva, S. Tranev, and V. Todorov, ”An Elliptic Intuitionistic Fuzzy Analysis of Regional Samsung Net Revenue Variations,” in Proceedings of the International Conference on Intelligent and Fuzzy Systems (INFUS), 2024, pp. 522–531.
[3] A. Iampan. “A new branch of the logical algebra: UP-algebras, Journal of Algebra and Related Topics 5.1 (2017), pp. 35–54.
[4] A. Iampan, Fuzzy translations of a fuzzy set in UP-algebras, Journal of the Indonesian Mathematical Society 23.2 (2017), pp. 1–19.
[5] Y. B. Jun, Neutrosophic subalgebras of several types in BCK/BCI-algebras, Annals of Fuzzy Mathematics and Informatics 14.1 (2017), pp. 75–86.
[6] G. Muhiuddin and Y. B. Jun Further results of Neutrosophic subalgebras in BCK/BCI-algebras based on neutrosophic points, TWMS J. App. Eng. Math. 10.1 (2020), pp. 232–240.
[7] G. Muhiuddin, H. Bordbar, F. Smarandache and Y. B. Jun, Further results on (ϵ, ϵ)-neutrosophic subalgebras and ideals in BCK/BCI-algebras, Neutrosophic Sets and Systems 20 (2018), pp. 36–43.
[8] M. A. Ozturk and Y. B. Jun, Neutrosophic ideals in BCK/BCI-algebras based on neutrosophic points, Journal of International Mathematical Virtual Institute 8.1 (2018), pp. 1–17.
[9] V. Rajam, A study of neutrosophic algebra”. PhD Dissertation, Bharathidasan University, India, 2024.
[10] U. Rivieccio, T. Flaminio, and T. Nascimento da Silva, ”On the Representation of (Weak) Nilpotent Minimum Algebras,” in Proceedings of the 2020 IEEE International Conference on Fuzzy Systems (FUZZIEEE), 2020, pp. 1–8.
[11] A. B. Saeid and Y. B. Jun, Neutrosophic subalgebras of BCK/BCI-algebras based on neutro- sophic points, Annals of Fuzzy Mathematics and Informatics 14.2 (2017), pp. 87–97.
[12] S. Soundararajan, ”On Fuzzy B-Volterra Spaces,” Journal of Analysis and Mathematical Information, vol. 42, pp. 189–197, Jan. 2024.
[13] S. Majbour, M. Barbier, and J.-M. Le Bars, ”Fuzzy Vault Security Enhancement to Avoid Statistical Biases,” in Proceedings of the International Conference on Security and Cryptography (SECRYPT), 2024, pp. 1–2.
[14] S. R. Sree and Ramesh, ”A Fuzzy Logic-Based Model for Software Effort Estimation Using NASA93 Dataset,” Applied Sciences, vol. 13, no. 8, p. 5014, 2021.
[15] L. F. Zadeh, Fuzzy sets, Information and Control 8.3 (1965), pp. 338–353.
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