Submit Your Paper
  1. Home
  2. Journals
  3. International Journal of Neutrosophic Science

International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)
Submit Your Paper

Journal Menu

Homepage Journal Overview Editorial Board Submitting Articles Indexing & Abstracting

Journal Volumes

International Journal of Neutrosophic Science

Volume 22 , Issue 4 , PP: 93-105, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields

Mamika Ujianita Romdhini 1 * , Ashraf Al-Quran 2 , Faisal Al-Sharqi 3 , Mohammad K. Tahat 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 - (ahatmo@spsp.edu.sa)
  • 4 Academic Department, Saudi Petroleum Services Polytechnic,Dammam, Saudi Arabia - (Mohammad K. Tahat)
  • 5 MEU Research Unit, Middle East University, Amman, 11831, Jordan; Applied Science Research Center, Applied Science Private University, Amman 11931, Jordan; College of Engineering, National University of Science and Technology, Dhi Qar, Iraq - (aalkhassawneh@kfu.edu.sa)

    • Doi: https://doi.org/10.54216/IJNS.220408

    Received: June 17, 2023 Revised: August 22, 2023 Accepted: October 28, 2023
    Abstract

    A field is a fundamental algebraic structure that finds extensive applications in algebra and various mathematical domains. On the other hand, a Q-complex neutrosophic soft set (Q-CNSS) is a unique hybrid model that combines the characteristics of soft sets and neutrosophic sets within a complex number framework. It utilizes the effectiveness of Q-set as a powerful tool in the domain of this particular model. In this article, we leverage this model to define fields under uncertainty. We present the Q-complex neutrosophic soft field (Q-CNSF) and examine the unique algebraic properties associated with this model. Additionally, we explore the relationships between Q-CNSF and Q-neutrosophic soft field (Q-NSF). Furthermore, we define the Cartesian product of QCNSFs and delve into the relevant properties. Through this comprehensive exploration, our aim is to enhance the understanding of Q-CNSFs and their properties, ultimately contributing to the field of algebraic analysis and its practical applications in handling uncertainty and vagueness.

    Keywords :

    Complex neutrosophic soft set , Q-complex neutrosophic soft set , Q-neutrosophic soft field , Qneutrosophic soft set.

    References

    [1] F. Smarandache, Neutrosophic probability, set, and logic, American Research Press: Rehoboth, IL, USA, 1998.

    [2] D. Molodtsov, Soft set theory, first results, Computers and Mathematics with Applications, vol. 37, no. 4-5, pp. 19-31, 1999.

    [3] Al-Jumaili, A. F.; Abed, M.M.; Al-Sharqi, F. Other new types of Mappings with Strongly Closed Graphs in Topological spaces via e and -open sets. Journal of Physics: Conference Series, 2019, 1234(1), 012101.

    [4] Z. bin M. Rodzi et al., “Integrated Single-Valued Neutrosophic Normalized Weighted Bonferroni Mean (SVNNWBM)-DEMATEL for Analyzing the Key Barriers to Halal Certification Adoption in Malaysia,” Int. J. Neutrosophic Sci., vol. 21, no. 3, pp. 106–114, 2023.

    [5] S. H. Zail, M. M. Abed and F. Al-Sharqi, (2022). Neutrosophic BCK-algebra and -BCK-algebra. International Journal of Neutrosophic Science, 19(3), 8-15.

    [6] F. Al-Sharqi, A. Al-Quran, M. U. Romdhini, Decision-making techniques based on similarity measures of possibility interval fuzzy soft environment, Iraqi Journal for Computer Science and Mathematics, vol. 4, pp.18–29, 2023.

    [7] F. Al-Sharqi, Y. Al-Qudah and N. Alotaibi, Decision-making techniques based on similarity measures of possibility neutrosophic soft expert sets. Neutrosophic Sets and Systems, 55(1) (2023), 358-382.

    [8] A. Al-Quran, F. Al-Sharqi, K. Ullah, M. U. Romdhini, M. Balti and M. Alomai, Bipolar fuzzy hypersoft set and its application in decision making, International Journal of Neutrosophic Science, vol. 20, no. 4, pp. 65-77, 2023.

    [9] M. U. Romdhini, F. Al-Sharqi, A. Nawawi, A. Al-Quran and H. Rashmanlou, Signless Laplacian Energy of Interval-Valued Fuzzy Graph and its Applications, Sains Malaysiana 52(7), 2127-2137, 2023.

    [10] F. Al-Sharqi, A. G. Ahmad, A. Al Quran, Mapping on interval complex neutrosophic soft sets, International Journal of Neutrosophic Science, vol.19(4), pp.77-85, 2022.

    [11] Mohammed Alqarni, Ahmed H. Samak, Safaa S. I. Ismail, Rasha M. Abd El-Aziz, Ahmed I. Taloba. (2023). Utilizing a Neutrosophic Fuzzy Logic System with ANN for Short-Term Estimation of Solar Energy. International Journal of Neutrosophic Science, 20 ( 4 ), 240-259.

    [12] Abed, M., Al-Jumaili, A. F., Al-Sharqi, F. G. Some mathematical Structures in topological group. J. Algab. Appl. Math., 2018, 16(2), 99-117.

    [13] M Palanikumar, N Kausar, H Garg, SF Ahmed, C Samaniego, Robot sensors process based on generalized Fermatean normal different aggregation operators framework, AIMS Mathematics 8 (7), 16252- 16277, 2023.

    [14] Broumi, S., Sundareswaran, R., Shanmugapriya, M., Bakali, A., Talea, M. (2022). Theory and Applications of Fermatean Neutrosophic Graphs. Neutrosophic Sets and Systems, 50, 248-286.

    [15] F. Al-Sharqi, M. U. Romdhini, A. Al-Quran, Group decision-making based on aggregation operator and score function of Q-neutrosophic soft matrix, Journal of Intelligent and Fuzzy Systems, vol. 45, pp.305–321, 2023.

    [16] F. Al-Sharqi, A.G. Ahmad, A. Al-Quran, Interval-valued neutrosophic soft expert set from real space to complex space, Computer Modeling in Engineering and Sciences, vol. 132(1), pp. 267–293, 2022.

    [17] Al-Sharqi, F. G., Abed, M. M., Mhassin, A. A. On Polish Groups and their Applications. J. Eng. Appl. Sci., 2018, 13(18), 7533-7536.

    [18] F. Al-Sharqi, A.G. Ahmad, and A. Al-Quran, Similarity measures on interval-complex neutrosophic soft sets with applications to decision making and medical diagnosis under uncertainty, Neutrosophic Sets and Systems, vol. 51, pp.495–515, 2022.

    [19] Broumi, S., Mohanaselvi, S., Witczak, T., Talea, M., Bakali, A., Smarandache, F. (2023). Complex fermatean neutrosophic graph and application to decision making. Decision Making: Applications in Management and Engineering, 6(1), 474-501.

    [20] A. Rosenfeld, Fuzzy groups, Journal of Mathematical Analysis and Applications, vol. 35, pp. 512-517, 1971.

    [21] D. S. Malik and J. N. Mordeson, Fuzzy subfields, Fuzzy Sets and Systems, vol. 37, pp. 383-388, 1990.

    [22] J. N. Mordeson, Fuzzy algebraic fields extensions, Fuzzy Sets and Systems, vol. 45, pp. 359-365, 1992.

    [23] B. Anandh, and R. Giri, Intuitionistic fuzzy subfields of a field with respect to (T,S)-norm, Advanced in Fuzzy Mathematics, vol. 12, pp. 1007-1015, 2017.

    [24] T. Bera and N. K. Mahapatra, On neutrosophic soft field, International Journal of Mathematics Trends and Technology, vol. 56 , pp. 472-494 , 2018.

    [25] M. Abu Qamar, A. G. Ahmad and N. Hassan, On Q-neutrosophic soft fields, Neutrosophic Sets and Systems, vol. 32, pp.80-93, 2020.

    [26] M. Gulzar, F. Dilawar, D. Alghazzawi, M. H. Mateen, A note on complex fuzzy subfield, Indonesian Journal of Electrical Engineering and Computer Science, vol. 21, pp. 1048–1056, 2021.

    [27] A. Khamis and A. G. Ahmad, On fundamental algebraic characterizations of complex intuitionistic - fuzzy subfield, Mathematics, vol. 8, 7032-7060, 2023.

    [28] M. Ali, F. Smarandache, Complex neutrosophic set, Neural Computing and Applications, vol.28 , pp. 1817-1834, 2017.

    [29] A. Al-Quran, F. Al-Shaqi, Z. Rodzi, M. U. Romdhini, The algebraic structures of Q-complex neutrosophic soft sets associated with groups and subgroups, International Journal of Neutrosophic Science ,  vol. 22, pp. 60-76, 2023.

    [30] A. Al Quran, A. G. Ahmad, F. Al-Sharqi, A. Lutfi, Q-Complex Neutrosophic Set, International Journal of Neutrosophic Science, vol. 20(2), pp.08-19, 2023.

    Cite This Article As :
    Ujianita, Mamika. , Al-Quran, Ashraf. , Al-Sharqi, Faisal. , K., Mohammad. , Lutfi, Abdalwali. Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 93-105. DOI: https://doi.org/10.54216/IJNS.220408
    Ujianita, M. Al-Quran, A. Al-Sharqi, F. K., M. Lutfi, A. (2023). Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields. International Journal of Neutrosophic Science, (), 93-105. DOI: https://doi.org/10.54216/IJNS.220408
    Ujianita, Mamika. Al-Quran, Ashraf. Al-Sharqi, Faisal. K., Mohammad. Lutfi, Abdalwali. Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields. International Journal of Neutrosophic Science , no. (2023): 93-105. DOI: https://doi.org/10.54216/IJNS.220408
    Ujianita, M. , Al-Quran, A. , Al-Sharqi, F. , K., M. , Lutfi, A. (2023) . Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields. International Journal of Neutrosophic Science , () , 93-105 . DOI: https://doi.org/10.54216/IJNS.220408
    Ujianita M. , Al-Quran A. , Al-Sharqi F. , K. M. , Lutfi A. [2023]. Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields. International Journal of Neutrosophic Science. (): 93-105. DOI: https://doi.org/10.54216/IJNS.220408
    Ujianita, M. Al-Quran, A. Al-Sharqi, F. K., M. Lutfi, A. "Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields," International Journal of Neutrosophic Science, vol. , no. , pp. 93-105, 2023. DOI: https://doi.org/10.54216/IJNS.220408

    Article Statistics

    View
    55361
    Download
    505

    Download