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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 24 , Issue 4 , PP: 105-125, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Possibility Fermatean Neutrosophic Soft Set

Shawkat Alkhazaleh 1 , Belal Batiha 2 , Areen Al-khateeb 3 * , Hamzeh Zureigat 4 , Abedallah Al-shboul 5 , Khaldoun Batiha 6

  • 1 Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan - (s.alkhazaleh@jadara.edu.jo)
  • 2 Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan - (b.bateha@jadara.edu.jo )
  • 3 Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan - (areen.k@jadara.edu.jo)
  • 4 Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan; Applied Science Research Center, Applied Science Private University, Al-Arab St. 21, Amman, 11931, Jordan - (hamzeh.zu@jadara.edu.jo)
  • 5 Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan - (aalayyoup@yahoo.com)
  • 6 Department of CS, Faculty of IT, Philadelphia University, Amman 19392, Jordan - (kh_batiha@philadelphia.edu.jo)

    • Doi: https://doi.org/10.54216/IJNS.240408

    Received: October 17, 2023 Revised: February 23, 2024 Accepted: May 24, 2024
    Abstract

    In this paper, we introduce the concept of Possibility Fermatean Neutrosophic Soft Set and define some related concepts such as Possibility Fermatean Neutrosophic Soft subset, Possibility Fermatean Neutrosophic Soft null set, and Possibility Fermatean Neutrosophic Soft universal set. Then, we define set-theoretical operations of Possibility Fermatean Neutrosophic Soft Sets such as union, intersection, and complement, and investigate some properties of these operations. We also introduce AND-product and OR-product operations between two Possibility Fermatean Neutrosophic Soft Sets. We propose a decision-making method called the Possibility Fermatean Neutrosophic Soft decision-making method (PFNS-decision-making method) which can be applied to decision-making problems involving uncertainty based on AND-product operation. We finally give a numerical example to display the application of the method that can be successfully applied to the problems.

    Keywords :

    Fuzzy Set, Soft Set , Fuzzy Soft Set , Fermatean Fuzzy Set , Fermatean Fuzzy Soft Set , Intuitionistic Fuzzy Soft Set , Possibility Fuzzy Soft Set , Intuitionistic Possibility Fermatean Fuzzy Soft Set , Possibility Fermatean Neutrosophic Soft Set

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    Cite This Article As :
    Alkhazaleh, Shawkat. , Batiha, Belal. , Al-khateeb, Areen. , Zureigat, Hamzeh. , Al-shboul, Abedallah. , Batiha, Khaldoun. Possibility Fermatean Neutrosophic Soft Set. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 105-125. DOI: https://doi.org/10.54216/IJNS.240408
    Alkhazaleh, S. Batiha, B. Al-khateeb, A. Zureigat, H. Al-shboul, A. Batiha, K. (2024). Possibility Fermatean Neutrosophic Soft Set. International Journal of Neutrosophic Science, (), 105-125. DOI: https://doi.org/10.54216/IJNS.240408
    Alkhazaleh, Shawkat. Batiha, Belal. Al-khateeb, Areen. Zureigat, Hamzeh. Al-shboul, Abedallah. Batiha, Khaldoun. Possibility Fermatean Neutrosophic Soft Set. International Journal of Neutrosophic Science , no. (2024): 105-125. DOI: https://doi.org/10.54216/IJNS.240408
    Alkhazaleh, S. , Batiha, B. , Al-khateeb, A. , Zureigat, H. , Al-shboul, A. , Batiha, K. (2024) . Possibility Fermatean Neutrosophic Soft Set. International Journal of Neutrosophic Science , () , 105-125 . DOI: https://doi.org/10.54216/IJNS.240408
    Alkhazaleh S. , Batiha B. , Al-khateeb A. , Zureigat H. , Al-shboul A. , Batiha K. [2024]. Possibility Fermatean Neutrosophic Soft Set. International Journal of Neutrosophic Science. (): 105-125. DOI: https://doi.org/10.54216/IJNS.240408
    Alkhazaleh, S. Batiha, B. Al-khateeb, A. Zureigat, H. Al-shboul, A. Batiha, K. "Possibility Fermatean Neutrosophic Soft Set," International Journal of Neutrosophic Science, vol. , no. , pp. 105-125, 2024. DOI: https://doi.org/10.54216/IJNS.240408

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