International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 23 , Issue 1 , PP: 146-154, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

⃗ȷρ Neutrosophic F Subgroup Over a Finite Group

V. Dhanya 1 * , M. Selvarathi 2 , M. Ambika 3

  • 1 Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, India - (dhanyama002@gmail.com)
  • 2 Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, India - (selvarathi.maths@gmail.com)
  • 3 Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, India - (ambikabilu.maths@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.230113

    Received: May 11, 2023 Revised: August 11, 2023 Accepted: November 13, 2023
    Abstract

    Neutrosophic set has been developed as a mathematical method for procuring indeterminate and incomplete information. Neutrosophic fuzzy set is a powerful generic system that has been recently developed. In several areas, including data and information analysis, data science, information and decision, have successfully applied neutrosophic concept. Not just that but also the important problems we experience in variety of fields, such as computing, life science, social development, and technical work are represented by neutrosophic fuzzy sets. In this paper, we have presented the idea of an implication-based (ȷρ) neutrosophic fuzzy (F) subgroup over a finite group and a ȷρ neutrosophic F normal subgroup over a finite group. Further, we have established a few fundamental properties of a ȷρ neutrosophic F subgroup over a finite group and ȷρ neutrosophic F normal subgroup over a finite group.

    Keywords :

    F subgroup , ȷ&rho , - F subgroup , ȷ&rho , neutrosophic F subgroup , ȷ&rho , neutrosophic F normal subgroup

    References

    [1] Adebisi, S. A., Smarandache, F. The NILPOTENT Characterization of the finite neutrosophic p-groups. International Journal of Neutrosophic Science (IJNS), 19(1), 2022.

    [2] Ashour, Amira S., and Yanhui Guo. ”Optimization-based neutrosophic set in computer-aided diagnosis”. Optimization Theory Based on Neutrosophic and Plithogenic Sets. Academic Press, 405- 421, 2020.

    [3] Cetkin V, Aygun H, An approach to neutrosophic subgroup and its fundamental properties. J Intell Fuzzy Syst 29:1941–1947 2015.

    [4] Elhassouny, Azeddine, Soufiane Idbrahim, and Florentin Smarandache. Machine learning in Neutrosophic Environment: A Survey. Infinite Study, 2019.

    [5] Farooq, Adeel, et al. ”A new algorithm to compute fuzzy subgroups of a finite group.” AIMS Mathematics 8.9: 20802-20814, 2023.

    [6] Fernandez, Ariel Romero, et al. ”Neutrosophic Statistics for Project Management. Application to a Computer System Project”. Neutrosophic Sets and Systems 44, 308-314, 2021.

    [7] J.Martina Jency , I.Arockiarani, Fuzzy Neutrosophic Subgroupoids,Asian Journal of Applied Sciences,vol 04,Issue 01,February ISSN:2321-0893, 2016

    [8] Mondal, Kalyan, Surapati Pramanik, and BIBHAS C. Giri. ”Role of neutrosophic logic in data mining”. New Trends in Neutrosophic Theory and Application. Pons Editions, Brussels 15-23, 2016.

    [9] Al-Quran, A., Al-Sharqi, F., Rodzi, Z. M., Aladil, M., Romdhini, M. U., Tahat, M. K., Solaiman, O. S. ”‘The Algebraic Structures of Q-Complex Neutrosophic Soft Sets Associated with Groups and Subgroups”. International Journal of Neutrosophic Science, 22(1), 60-77, 2023.

    [10] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35, 512-517, 1971.

    [11] Salama, A. A., et al. ”Design and implementation of neutrosophic data operations using object oriented programming”. International Journal of Computer Application 5.4, 163-175, 2014.

    [12] M. Selvarathi, J. M. A. Spinneli: Implication-Based Fuzzy Normal Subgroup of a Finite Group, International Journal of Applied Engineering Research, 10 (80), 5–8, 2015.

    [13] Smarandache, F. A unifying field in logics. Neutrosophy: Neutrosophic probability, set and logic. Rehoboth: American Research Press 1999.

    [14] Smarandache, F. Neutrosophic Quantum Computer. Intern. J. Fuzzy Math. Arch. 10, 139–145, 2016.

    [15] Thao, Nguyen Xuan, Florentin Smarandache, and N. V. Dinh. ”Support- neutrosophic set: a new concept in soft computing”. Neutrosophic Sets Syst 16, 93-98, 2017.

    [16] Xin, Ling, et al. A Novel Approach Of Computing With Words By Using Neutrosophic Information. Infinite Study, 2020.

    [17] M.S. Ying, A new approach for fuzzy topology(I), Fuzzy Sets and Systems 39, 303–321 1991.

    [18] X. H. Yuan, C. Zhang , and Y. H. Ren, Generalized fuzzy groups and many valued applications, Fuzzy Sets Syst., 138(1): 205–211, 2003.

    [19] Zail, S. H., Abed, M. M., and Faisal, A. S. Neutrosophic BCK-algebra and Ω-BCK-algebra. International Journal of Neutrosophic Science, 19(3), 8-15, 2022.

    Cite This Article As :
    Dhanya, V.. , Selvarathi, M.. , Ambika, M.. ⃗ȷρ Neutrosophic F Subgroup Over a Finite Group. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 146-154. DOI: https://doi.org/10.54216/IJNS.230113
    Dhanya, V. Selvarathi, M. Ambika, M. (2024). ⃗ȷρ Neutrosophic F Subgroup Over a Finite Group. International Journal of Neutrosophic Science, (), 146-154. DOI: https://doi.org/10.54216/IJNS.230113
    Dhanya, V.. Selvarathi, M.. Ambika, M.. ⃗ȷρ Neutrosophic F Subgroup Over a Finite Group. International Journal of Neutrosophic Science , no. (2024): 146-154. DOI: https://doi.org/10.54216/IJNS.230113
    Dhanya, V. , Selvarathi, M. , Ambika, M. (2024) . ⃗ȷρ Neutrosophic F Subgroup Over a Finite Group. International Journal of Neutrosophic Science , () , 146-154 . DOI: https://doi.org/10.54216/IJNS.230113
    Dhanya V. , Selvarathi M. , Ambika M. [2024]. ⃗ȷρ Neutrosophic F Subgroup Over a Finite Group. International Journal of Neutrosophic Science. (): 146-154. DOI: https://doi.org/10.54216/IJNS.230113
    Dhanya, V. Selvarathi, M. Ambika, M. "⃗ȷρ Neutrosophic F Subgroup Over a Finite Group," International Journal of Neutrosophic Science, vol. , no. , pp. 146-154, 2024. DOI: https://doi.org/10.54216/IJNS.230113