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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 20 , Issue 4 , PP: 65-77, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Bipolar fuzzy hypersoft set and its application in decision making

Ashraf Al-Quran 1 * , Faisal Al-Sharqi 2 , Kifayat Ullah 3 , Mamika Ujianita Romdhini 4 , Marwa Balti 5 , Mohammed Alomair 6

  • 1 Basic Sciences Department, Preparatory Year Deanship, King Faisal University, Al-Ahsa 31982, Saudi Arabia - (aalquran@kfu.edu.sa)
  • 2 Department of Mathematics, Faculity of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq - (faisal.ghazi@uoanbar.edu.iq)
  • 3 Department of Mathematics, Riphah International University, Lahore Campus, Lahore 54000, Pakistan - (kifayat.khan.dr@gmail.com)
  • 4 Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Mataram, Mataram, 83125,Indonesia - (mamika@unram.ac.id)
  • 5 Department of Mathematics and Statistics,College of Science, King Faisal University, Al-Ahsa 31982, Saudi Arabia - (mbalti@kfu.edu.sa)
  • 6 Department of Quantitative Methods, College of Business Administration, King Faisal University, Al-Ahsa 31982, Saudi Arabia - (ma.alomair@kfu.edu.sa)

    • Doi: https://doi.org/10.54216/IJNS.200405

    Received: January 04, 2023 Accepted: April 02, 2023
    Abstract

    Smarandache developed the idea of hypersoft set (HSS) theory as an extension of soft set (SS) theory. HSS provides a general mathematical framework for handling data that can be formulated as several trait-valued disjoint sets which blend to various traits. The major goal of this article is to lay the footing for supplying a new model called bipolar fuzzy hypersoft sets (BFHSSs) by linking both fuzzy sets (FSs) and HSSs under bipolarity property. By using positive and negative membership functions and multi-argument functions, these structures work best for testing uncertainty. This makes them better at solving real-world problems, especially ones that have both good and bad sides. This paper also has different operations for BFHSSs, such as absolute BFHSS, null BFHSS, complement, subset, union, intersection, and their related properties. Moreover, operations like OR and AND for BFHSS have been instituted. Some properties are demonstrated, and some numerical examples are given to illustrate the mechanism of using these tools. Finally, these tools are applied in the decision-making process based on an algorithm that is built.

    Keywords :

    Bipolar Fuzzy Set , Fuzzy Set , Fuzzy Soft Set , Fuzzy Hypersoft Set , Hypersoft Set , Soft Set.

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    Cite This Article As :
    Al-Quran, Ashraf. , Al-Sharqi, Faisal. , Ullah, Kifayat. , Ujianita, Mamika. , Balti, Marwa. , Alomair, Mohammed. Bipolar fuzzy hypersoft set and its application in decision making. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 65-77. DOI: https://doi.org/10.54216/IJNS.200405
    Al-Quran, A. Al-Sharqi, F. Ullah, K. Ujianita, M. Balti, M. Alomair, M. (2023). Bipolar fuzzy hypersoft set and its application in decision making. International Journal of Neutrosophic Science, (), 65-77. DOI: https://doi.org/10.54216/IJNS.200405
    Al-Quran, Ashraf. Al-Sharqi, Faisal. Ullah, Kifayat. Ujianita, Mamika. Balti, Marwa. Alomair, Mohammed. Bipolar fuzzy hypersoft set and its application in decision making. International Journal of Neutrosophic Science , no. (2023): 65-77. DOI: https://doi.org/10.54216/IJNS.200405
    Al-Quran, A. , Al-Sharqi, F. , Ullah, K. , Ujianita, M. , Balti, M. , Alomair, M. (2023) . Bipolar fuzzy hypersoft set and its application in decision making. International Journal of Neutrosophic Science , () , 65-77 . DOI: https://doi.org/10.54216/IJNS.200405
    Al-Quran A. , Al-Sharqi F. , Ullah K. , Ujianita M. , Balti M. , Alomair M. [2023]. Bipolar fuzzy hypersoft set and its application in decision making. International Journal of Neutrosophic Science. (): 65-77. DOI: https://doi.org/10.54216/IJNS.200405
    Al-Quran, A. Al-Sharqi, F. Ullah, K. Ujianita, M. Balti, M. Alomair, M. "Bipolar fuzzy hypersoft set and its application in decision making," International Journal of Neutrosophic Science, vol. , no. , pp. 65-77, 2023. DOI: https://doi.org/10.54216/IJNS.200405

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