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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 22 , Issue 4 , PP: 29-35, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Unveiling an Innovative Approach to Q-Complex Neutrosophic Soft Rings

Mamika Ujianita Romdhini 1 * , Ashraf Al-Quran 2 , Faisal Al-Sharqi 3 , Hazwani Hashim 4 , Abdalwali Lutfi 5

  • 1 Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Mataram, Mataram, 83125,Indonesia - (mamika@unram.ac.id)
  • 2 Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Ahsa 31982, Saudi Arabia - (aalquran@kfu.edu.sa)
  • 3 Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq; College of Engineering, National University of Science and Technology, Dhi Qar, Iraq - (faisal.ghazi@uoanbar.edu.iq)
  • 4 School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM), Kelantan Branch, 18500 Machang, Kelantan, Malaysia - (nhashima@tmsk.uitm.edu.my)
  • 5 Department of Accounting, College of Business, King Faisal University, Al-Ahsa 31982, Saudi Arabia; MEU Research Unit, Middle East University, Amman, 11831, Jordan; Applied Science Research Center, Applied Science Private University, Amman 11931, Jordan - (aalkhassawneh@kfu.edu.sa)

    • Doi: https://doi.org/10.54216/IJNS.220402

    https://doi.org/10.54216/IJNS.220402
    Abstract

    In this paper, our aim is to investigate the algebraic structures within the Q-complex neutrosophic soft model. We introduce two fundamental concepts: the Q-complex neutrosophic soft ring (Q-CNSR) and the Q-complex neutrosophic soft ideal (Q-CNSI). Q-CNSRs combine the properties of Q-complex neutrosophic soft sets (Q-CNSSs) with ring theory, effectively capturing uncertainty and indeterminacy present in ring operations through the incorporation of Q-complex neutrosophic membership values. Additionally, we define Q-CNSIs as subsets of Q-CNSRs that possess distinctive properties and hold significant roles in ring theory. Furthermore, we discuss and verify the specific algebraic properties of Q-CNSR and Q-CNSI. By examining these properties, we gain a deeper understanding of the algebraic behavior of Q-CNSR and Q-CNSI. In particular, we shed light on the relationship between Q-CNSRs and soft rings. This provides insights into how Q-CNSR relates to the broader framework of soft ring, highlighting the unique features and contributions of Q-complex neutrosophic soft structures in the realm of algebraic analysis. We have also verified the relations between Q-CNSR and Q-neutrosophic soft ring (Q-NSR), as well as between Q-CNSI and Q-neutrosophic soft ideal (Q-NSI). Through this comprehensive exploration, our objective is to advance the understanding of Q-CNSR and Q-CNSI, thereby contributing to the field of algebraic analysis and its application in handling uncertainty and vagueness.

    Keywords :

    Complex neutrosophic soft set , Q-complex neutrosophic soft set , Q-neutrosophic soft ideal , Qneutrosophic soft ring , Q-neutrosophic soft set.

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    Cite This Article As :
    Ujianita, Mamika. , Al-Quran, Ashraf. , Al-Sharqi, Faisal. , Hashim, Hazwani. , Lutfi, Abdalwali. Unveiling an Innovative Approach to Q-Complex Neutrosophic Soft Rings. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 29-35. DOI: https://doi.org/10.54216/IJNS.220402
    Ujianita, M. Al-Quran, A. Al-Sharqi, F. Hashim, H. Lutfi, A. (2023). Unveiling an Innovative Approach to Q-Complex Neutrosophic Soft Rings. International Journal of Neutrosophic Science, (), 29-35. DOI: https://doi.org/10.54216/IJNS.220402
    Ujianita, Mamika. Al-Quran, Ashraf. Al-Sharqi, Faisal. Hashim, Hazwani. Lutfi, Abdalwali. Unveiling an Innovative Approach to Q-Complex Neutrosophic Soft Rings. International Journal of Neutrosophic Science , no. (2023): 29-35. DOI: https://doi.org/10.54216/IJNS.220402
    Ujianita, M. , Al-Quran, A. , Al-Sharqi, F. , Hashim, H. , Lutfi, A. (2023) . Unveiling an Innovative Approach to Q-Complex Neutrosophic Soft Rings. International Journal of Neutrosophic Science , () , 29-35 . DOI: https://doi.org/10.54216/IJNS.220402
    Ujianita M. , Al-Quran A. , Al-Sharqi F. , Hashim H. , Lutfi A. [2023]. Unveiling an Innovative Approach to Q-Complex Neutrosophic Soft Rings. International Journal of Neutrosophic Science. (): 29-35. DOI: https://doi.org/10.54216/IJNS.220402
    Ujianita, M. Al-Quran, A. Al-Sharqi, F. Hashim, H. Lutfi, A. "Unveiling an Innovative Approach to Q-Complex Neutrosophic Soft Rings," International Journal of Neutrosophic Science, vol. , no. , pp. 29-35, 2023. DOI: https://doi.org/10.54216/IJNS.220402

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