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International Journal of Neutrosophic Science

Volume 26 , Issue 1 , PP: 223-233, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

On the characterization of Harmonized fuzzy subgroups θ Open set

Eman A. AbuHijleh 1 , Sara A. Khalil 2 , Sana Abu-Ghurra 3 , Ghada Alafifi 4

  • 1 Basic sciences department, Al-Zarqa University College, Al-Balqa Applied University, Amman, Jordan - (emanhijleh@bau.edu.jo)
  • 2 Mathematics Department, Faculty of Science, Applied Science Private University, Amman, Jordan - (s khalil@asu.edu.jo)
  • 3 Mathematics Department, Faculty of Science, Applied Science Private University, Amman, Jordan - (s abugurrah@asu.edu.jo)
  • 4 Mathematics Department, Science College, Philadelphia University, Amman, Jordan - (gafifi@philadelphia.edu.jo)

    • Doi: https://doi.org/10.54216/IJNS.260119

    Received: October 05, 2024 Revised: January 15, 2025 Accepted: February 12, 2025
    Abstract

    In this paper, we continue to discuss the concept of harmonized fuzzy subgroups. We present the harmonized fuzzy coset and harmonized fuzzy normal subgroup and their properties. We also study the effect of group homomorphism on harmonized fuzzy subgroups. Finally, we define and study the cartesian product of two harmonized fuzzy subgroups.

    Keywords :

    Harmonized fuzzy coset subgroup , Harmonized fuzzy normal subgroup , Group homomorphism

    References

    [1] Zadeh L.A, Fuzzy Sets, Inform. and Control., Vol.8, 1965, pp. 338-353.

    [2] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Set. Syst., 20 (1986), 87–96.

    [3] R. R. Yager, Pythagorean fuzzy subsets, In: 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013, 36286152.

    [4] Yager RR (2017)Generalized orthopair fuzzy sets. IEEE Trans Fuzzy Syst 25(5):1222–1230.

    [5] T. Senapti and R.R. Yager. Fermatean fuzzy sets. Journal of Ambient Intelligence and Humanized Computing, Vol.11, No.2, 2020, pp. 663-674.

    [6] Rosenfeld A, Fuzzy Groups, Math .Anal .Appl., Vol.35, 1971, pp. 512-517.

    [7] P. S. Das, Fuzzy groups and level subgroups, J. Math. Anal. Appl., 84 (1981), 264–269.

    [8] N. P. Mukherjee, P. Bhattacharya, Fuzzy normal subgroups and fuzzy cosets, Inform. Sciences, 34 (1984), 225–239.

    [9] F. P. Choudhury, A. B. Chakraborty, S. S. Khare, A note on fuzzy subgroups and fuzzy homomorphism, J. Math. Anal. Appl., 131 (1988), 537–553.

    [10] V. N. Dixit, R. Kumar, N. Ajmal, Level subgroups and union of fuzzy subgroups, Fuzzy Set. Syst., 37 (1990), 359–371.

    [11] N. Ajmal, A. S. Prajapati, Fuzzy cosets and fuzzy normal subgroups, Inform. Sciences, 64 (1992),17–25.

    [12] A. B. Chakraborty, S. S. Khare, Fuzzy homomorphism and algebraic structures, Fuzzy Set. Syst., 59 (1993), 211–221.

    [13] R. Biswas, Intuitionistic fuzzy subgroup, Mathematical Forum, 10 (1989), 39–44.

    [14] Supriya Bhunia, Ganesh Ghorai and Qin Xin, On the characterization of Pythagorean fuzzy subgroups, AIMS Mathematics, Vol 6 no. 1, pp. 962 - 978, 2020.

    [15] I. Silambarasan, Fermatean Fuzzy Subgroups, J. Int. Math., Virtual Inst., Vol.11, No.1, 2021, pp. 1- 16.

    [16] B. O. Onasanya, X. Ming, Y. Feng, and W. Zhang, Harmonization of some fuzzy subgroups, Italian Journal of Pure and Applied Mathematics. N. 48, 2022, pp. 863-876.

    [17] Muhammad Gulzar, M. Haris Mateen, Dilshad Algazzawi and Nasreen kausar, A Novel Applications of Complex Intuitionistic Fuzzy Sets in Group Theory, IEE Access, Vol 8, 2020, pp. 196075 - 196085.

    [18] Massa’deh, M. O., Alkouri, A., & Fora, A. A. (2020). A study in intuitionistic Q-fuzzy ideals of KUalgebras. J. Math. Comput. Sci., 10(3), 681-691.

    [19] FALLATAH, A., MASSA’DEH, M. O., & ALKOURI, A. U. (2022). NORMAL AND COSETS OF (γ, ∂)-FUZZY HX-SUBGROUPS. Journal of applied mathematics & informatics, 40(3-4), 719-727.

     

    Cite This Article As :
    A., Eman. , A., Sara. , Abu-Ghurra, Sana. , Alafifi, Ghada. On the characterization of Harmonized fuzzy subgroups θ Open set. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 223-233. DOI: https://doi.org/10.54216/IJNS.260119
    A., E. A., S. Abu-Ghurra, S. Alafifi, G. (2025). On the characterization of Harmonized fuzzy subgroups θ Open set. International Journal of Neutrosophic Science, (), 223-233. DOI: https://doi.org/10.54216/IJNS.260119
    A., Eman. A., Sara. Abu-Ghurra, Sana. Alafifi, Ghada. On the characterization of Harmonized fuzzy subgroups θ Open set. International Journal of Neutrosophic Science , no. (2025): 223-233. DOI: https://doi.org/10.54216/IJNS.260119
    A., E. , A., S. , Abu-Ghurra, S. , Alafifi, G. (2025) . On the characterization of Harmonized fuzzy subgroups θ Open set. International Journal of Neutrosophic Science , () , 223-233 . DOI: https://doi.org/10.54216/IJNS.260119
    A. E. , A. S. , Abu-Ghurra S. , Alafifi G. [2025]. On the characterization of Harmonized fuzzy subgroups θ Open set. International Journal of Neutrosophic Science. (): 223-233. DOI: https://doi.org/10.54216/IJNS.260119
    A., E. A., S. Abu-Ghurra, S. Alafifi, G. "On the characterization of Harmonized fuzzy subgroups θ Open set," International Journal of Neutrosophic Science, vol. , no. , pp. 223-233, 2025. DOI: https://doi.org/10.54216/IJNS.260119

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