On the characterization of Harmonized fuzzy subgroups θ Open set

Eman A.; Sara A.; Sana; Ghada

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

Full Length Article

Volume 26 • Issue 1 • PP: 223-233 • 2025

On the characterization of Harmonized fuzzy subgroups θ Open set

Eman A. AbuHijleh ^1*

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,

Sara A. Khalil ²

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,

Sana Abu-Ghurra ²

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,

Ghada Alafifi ³

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¹Basic sciences department, Al-Zarqa University College, Al-Balqa Applied University, Amman, Jordan

²Mathematics Department, Faculty of Science, Applied Science Private University, Amman, Jordan

³Mathematics Department, Science College, Philadelphia University, Amman, Jordan

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.260119

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

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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

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AbuHijleh, Eman A., Khalil, Sara A., Abu-Ghurra, Sana, Alafifi, Ghada. "On the characterization of Harmonized fuzzy subgroups θ Open set." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, 2025, pp. 223-233. DOI: https://doi.org/10.54216/IJNS.260119

AbuHijleh, E., Khalil, S., Abu-Ghurra, S., Alafifi, G. (2025). On the characterization of Harmonized fuzzy subgroups θ Open set. International Journal of Neutrosophic Science, Volume 26(Issue 1), 223-233. DOI: https://doi.org/10.54216/IJNS.260119

AbuHijleh, Eman A., Khalil, Sara A., Abu-Ghurra, Sana, Alafifi, Ghada. "On the characterization of Harmonized fuzzy subgroups θ Open set." International Journal of Neutrosophic Science Volume 26, no. Issue 1 (2025): 223-233. DOI: https://doi.org/10.54216/IJNS.260119

AbuHijleh, E., Khalil, S., Abu-Ghurra, S., Alafifi, G. (2025) 'On the characterization of Harmonized fuzzy subgroups θ Open set', International Journal of Neutrosophic Science, Volume 26(Issue 1), pp. 223-233. DOI: https://doi.org/10.54216/IJNS.260119

AbuHijleh E, Khalil S, Abu-Ghurra S, Alafifi G. On the characterization of Harmonized fuzzy subgroups θ Open set. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 1):223-233. DOI: https://doi.org/10.54216/IJNS.260119

E. AbuHijleh, S. Khalil, S. Abu-Ghurra, G. Alafifi, "On the characterization of Harmonized fuzzy subgroups θ Open set," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, pp. 223-233, 2025. DOI: https://doi.org/10.54216/IJNS.260119

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