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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 22 , Issue 3 , PP: 53-68, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Algorithm for possibility interval-valued neutrosophic soft decision-making based on distance measures settings

Faisal Al-Sharqi 1 * , Ashraf Al-Quran 2 , Noor Kareem Assi Halaf 3 , Mona Aladil 4 , Maha M. Rasheed 5

  • 1 Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq - (faisal.ghazi@uoanbar.edu.iq)
  • 2 Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Ahsa 31982, Saudi Arabia - (aalquran@kfu.edu.sa)
  • 3 College of Pharmacy, National University of Science and Technology, Dhi Qar, Iraq - (noor.assi@nust.edu.iq)
  • 4 Curricula and Teaching Methods Department, College of Education, King Faisal University, Al-Ahsa 31982,Saudi Arabia - (maladail@kfu.edu.sa)
  • 5 University Headquarter, Department of Scholarships and Cultural Relations, University Of Anbar, Ramadi, Anbar, Iraq - (ma.mo.1988zla@uoanbar.edu.iq)

    • Doi: https://doi.org/10.54216/IJNS.220304

    Received: April 28, 2023 Revised: July 10, 2023 Accepted: October 06, 2023
    Abstract

    Soft set(SS) is one of the soft computing techniques that plays an important role in addressing the hiddenness and uncertainty associated with uncertain data. In other hand the idea of interval-valued neutrosophic soft sets (IVNSSs) is a new generalization of the neutrosophic soft sets to the neutrosophic sets when the authors combine the critical features of IVNS and soft sets (SSs) in one model. Accordingly, this model worked to provide decision-makers with more flexibility in the process of interpreting uncertain information. From a scientific point of view, the process of evaluating this high-performance IVNSS disappears. Therefore, in this paper, we initiated a new approach known as possibility interval-valued neutrosophic soft sets (PIVNSSs) as a new development in a fuzzy soft computing environment. We investigate some fundamental operations on PIVNSSs along with their basic properties. Also, we investigate AND and OR operations between two PIVNSSs as well as several numerical examples to clarify the above fundamental operations. Finally, we have given distance measures (DM) between two PIVNSSs to construct a new algorithm that is used to demonstrate the effectiveness of the method in handling some real-life applications.

    Keywords :

    Neutrosophic sets , neutrosophic soft sets , interval-valued neutrosophic soft sets , possibility intervalvalued neutrosophic soft sets.

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    Cite This Article As :
    Al-Sharqi, Faisal. , Al-Quran, Ashraf. , Kareem, Noor. , Aladil, Mona. , M., Maha. Algorithm for possibility interval-valued neutrosophic soft decision-making based on distance measures settings. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 53-68. DOI: https://doi.org/10.54216/IJNS.220304
    Al-Sharqi, F. Al-Quran, A. Kareem, N. Aladil, M. M., M. (2023). Algorithm for possibility interval-valued neutrosophic soft decision-making based on distance measures settings. International Journal of Neutrosophic Science, (), 53-68. DOI: https://doi.org/10.54216/IJNS.220304
    Al-Sharqi, Faisal. Al-Quran, Ashraf. Kareem, Noor. Aladil, Mona. M., Maha. Algorithm for possibility interval-valued neutrosophic soft decision-making based on distance measures settings. International Journal of Neutrosophic Science , no. (2023): 53-68. DOI: https://doi.org/10.54216/IJNS.220304
    Al-Sharqi, F. , Al-Quran, A. , Kareem, N. , Aladil, M. , M., M. (2023) . Algorithm for possibility interval-valued neutrosophic soft decision-making based on distance measures settings. International Journal of Neutrosophic Science , () , 53-68 . DOI: https://doi.org/10.54216/IJNS.220304
    Al-Sharqi F. , Al-Quran A. , Kareem N. , Aladil M. , M. M. [2023]. Algorithm for possibility interval-valued neutrosophic soft decision-making based on distance measures settings. International Journal of Neutrosophic Science. (): 53-68. DOI: https://doi.org/10.54216/IJNS.220304
    Al-Sharqi, F. Al-Quran, A. Kareem, N. Aladil, M. M., M. "Algorithm for possibility interval-valued neutrosophic soft decision-making based on distance measures settings," International Journal of Neutrosophic Science, vol. , no. , pp. 53-68, 2023. DOI: https://doi.org/10.54216/IJNS.220304

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