International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 22 , Issue 3 , PP: 84-98, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Hybrid integrated decision-making algorithm based on AO of possibility interval-valued neutrosophic soft settings

Yousef Al-Qudah 1 * , Faisal Al-Sharqi 2 , Muthanna Mishlish 3 , Maha M. Rasheed 4

  • 1 Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman, Jordan - (Y.alqudah@aau.edu.jo)
  • 2 Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq; University Headquarter, Department of Scholarships and Cultural Relations, University Of Anbar, Ramadi, Anbar, Iraq - (faisal.ghazi@uoanbar.edu.iq)
  • 3 Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq - (muthana.kh.m@uoanbar.edu.iq)
  • 4 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.220306

    Received: May 02, 2023 Revised: July 09, 2023 Accepted: October 09, 2023
    Abstract

    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 highperformance 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 aggregation operators (AO) 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-Qudah, Yousef. , Al-Sharqi, Faisal. , Mishlish, Muthanna. , M., Maha. Hybrid integrated decision-making algorithm based on AO of possibility interval-valued neutrosophic soft settings. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 84-98. DOI: https://doi.org/10.54216/IJNS.220306
    Al-Qudah, Y. Al-Sharqi, F. Mishlish, M. M., M. (2023). Hybrid integrated decision-making algorithm based on AO of possibility interval-valued neutrosophic soft settings. International Journal of Neutrosophic Science, (), 84-98. DOI: https://doi.org/10.54216/IJNS.220306
    Al-Qudah, Yousef. Al-Sharqi, Faisal. Mishlish, Muthanna. M., Maha. Hybrid integrated decision-making algorithm based on AO of possibility interval-valued neutrosophic soft settings. International Journal of Neutrosophic Science , no. (2023): 84-98. DOI: https://doi.org/10.54216/IJNS.220306
    Al-Qudah, Y. , Al-Sharqi, F. , Mishlish, M. , M., M. (2023) . Hybrid integrated decision-making algorithm based on AO of possibility interval-valued neutrosophic soft settings. International Journal of Neutrosophic Science , () , 84-98 . DOI: https://doi.org/10.54216/IJNS.220306
    Al-Qudah Y. , Al-Sharqi F. , Mishlish M. , M. M. [2023]. Hybrid integrated decision-making algorithm based on AO of possibility interval-valued neutrosophic soft settings. International Journal of Neutrosophic Science. (): 84-98. DOI: https://doi.org/10.54216/IJNS.220306
    Al-Qudah, Y. Al-Sharqi, F. Mishlish, M. M., M. "Hybrid integrated decision-making algorithm based on AO of possibility interval-valued neutrosophic soft settings," International Journal of Neutrosophic Science, vol. , no. , pp. 84-98, 2023. DOI: https://doi.org/10.54216/IJNS.220306