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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 20 , Issue 2 , PP: 08-19, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Q-Complex Neutrosophic Set

Ashraf Al-Quran 1 * , Abd Ghafur Ahmad 2 , Faisal Al-Sharqi 3 , Abdalwali Lutfi 4

  • 1 Basic Sciences Department, Preparatory Year Deanship, King Faisal University, Al-Ahsa 31982, Saudi Arabia - (aalquran@kfu.edu.sa)
  • 2 Department of Mathematical Science, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Malaysia - (ghafur@ukm.edu.my)
  • 3 Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq - (faisal.ghazi@uoanbar.edu.iq)
  • 4 Department of Accounting, College of Business, King Faisal University, Al-Ahsa 31982, Saudi Arabia - (aalkhassawneh@kfu.edu.sa)

    • Doi: https://doi.org/10.54216/IJNS.200201

    Received: July 26, 2022 Accepted: January 16, 2023
    Abstract

    Most complex problems in the real-world typically involve uncertain,incomplete and indeterminate two-dimensional data i.e. information pertaining to the attributes and the periodicity of the problem parameters. To meet the demand for models that has the ability to handle these information with these characteristics, the introduction of neutrosophic sets (NSs) was followed by their extension to the complex neutrosophic sets (CNSs). In this paper, we introduce the concept of Q- complex neutrosophic set (Q-CNS) by extending the ranges of the membership functions in Q-neutrosophic set (Q-NS) from [0,1] to the unit circle in the complex plane. Q-CNS plays a key role in the decision making theory, where the extra information provided by the elements of the Q-set serve in modeling of some decision making problems. Based on this new concept we define the basic theoretical operations such as complement, equality, subset, union, intersection, Q-complex neutrosophic product and Cartesian product. Some related examples are also given to enhance the understanding of the proposed concepts. The basic properties of these operators are also verified with supporting proofs.

    Keywords :

    Complex Neutrosophic Set , Decision Making , Neutrosophic Set , Q-Neutrosophic Set.

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    Cite This Article As :
    Al-Quran, Ashraf. , Ghafur, Abd. , Al-Sharqi, Faisal. , Lutfi, Abdalwali. Q-Complex Neutrosophic Set. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 08-19. DOI: https://doi.org/10.54216/IJNS.200201
    Al-Quran, A. Ghafur, A. Al-Sharqi, F. Lutfi, A. (2023). Q-Complex Neutrosophic Set. International Journal of Neutrosophic Science, (), 08-19. DOI: https://doi.org/10.54216/IJNS.200201
    Al-Quran, Ashraf. Ghafur, Abd. Al-Sharqi, Faisal. Lutfi, Abdalwali. Q-Complex Neutrosophic Set. International Journal of Neutrosophic Science , no. (2023): 08-19. DOI: https://doi.org/10.54216/IJNS.200201
    Al-Quran, A. , Ghafur, A. , Al-Sharqi, F. , Lutfi, A. (2023) . Q-Complex Neutrosophic Set. International Journal of Neutrosophic Science , () , 08-19 . DOI: https://doi.org/10.54216/IJNS.200201
    Al-Quran A. , Ghafur A. , Al-Sharqi F. , Lutfi A. [2023]. Q-Complex Neutrosophic Set. International Journal of Neutrosophic Science. (): 08-19. DOI: https://doi.org/10.54216/IJNS.200201
    Al-Quran, A. Ghafur, A. Al-Sharqi, F. Lutfi, A. "Q-Complex Neutrosophic Set," International Journal of Neutrosophic Science, vol. , no. , pp. 08-19, 2023. DOI: https://doi.org/10.54216/IJNS.200201

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