International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 26 , Issue 2 , PP: 67-77, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

A Study On Neutrosophic UP-algebra

Hamdiya S. Hasan 1 , Muwafaq M. Salih 2 , Alias B. Khalaf 3 *

  • 1 Department of Mathematics, College of Basic Education, University of Duhok, Kurdistan Region, Iraq - (hamdiya.sabri89@gmail.com)
  • 2 Department of Mathematics, College of Basic Education, University of Duhok, Kurdistan Region, Iraq - (muwafaq.salih@uod.ac)
  • 3 Department of Mathematics, College of Science, University of Duhok, Kurdistan Region, Iraq - (alias.khalaf@uod.ac)
  • Doi: https://doi.org/10.54216/IJNS.260207

    Received: January 05, 2025 Revised: February 09, 2025 Accepted: March 13, 2025
    Abstract

    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 :

    UP-algebra , neutrosophic set , neutrosophic UP-subalgebra , (e, s)-sets

    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.

     

    Cite This Article As :
    S., Hamdiya. , M., Muwafaq. , B., Alias. A Study On Neutrosophic UP-algebra. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 67-77. DOI: https://doi.org/10.54216/IJNS.260207
    S., H. M., M. B., A. (2025). A Study On Neutrosophic UP-algebra. International Journal of Neutrosophic Science, (), 67-77. DOI: https://doi.org/10.54216/IJNS.260207
    S., Hamdiya. M., Muwafaq. B., Alias. A Study On Neutrosophic UP-algebra. International Journal of Neutrosophic Science , no. (2025): 67-77. DOI: https://doi.org/10.54216/IJNS.260207
    S., H. , M., M. , B., A. (2025) . A Study On Neutrosophic UP-algebra. International Journal of Neutrosophic Science , () , 67-77 . DOI: https://doi.org/10.54216/IJNS.260207
    S. H. , M. M. , B. A. [2025]. A Study On Neutrosophic UP-algebra. International Journal of Neutrosophic Science. (): 67-77. DOI: https://doi.org/10.54216/IJNS.260207
    S., H. M., M. B., A. "A Study On Neutrosophic UP-algebra," International Journal of Neutrosophic Science, vol. , no. , pp. 67-77, 2025. DOI: https://doi.org/10.54216/IJNS.260207