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International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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International Journal of Neutrosophic Science

Volume 26 , Issue 1 , PP: 254-265, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Matrices and Correlation Coefficient for possibility interval-valued neutrosophic hypersoft sets and their applications in real-life

Eman Hussein 1 , Yousef Al-Qudah 2 * , Abdulqader O. Hamadameen 3 , R.H. Al-Obaidi 4 , Abdullah S. Al-Jawarneh 5 , Faisal Al-Sharqi 6 , Anas Owledat 7

  • 1 Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman, 11953, Jordan - (e.hussein@aau.edu.jo)
  • 2 Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman, 11953, Jordan - (y.alqudah@aau.edu.jo)
  • 3 Department of Mathematics, Faculty of Science and Health, Koya University, Danielle Mitterrand Boulevard, Koya, Kurdistan Region-F.R. KOY45, Iraq - (alquyousef82@gmail.com)
  • 4 Artificial Intelligence Sciences Department, College of sciences, Al-Mustaqbal University , 51001,Babil, Iraq - (aidh.h.salman@uomus.edu.iq)
  • 5 Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman, 11953, Jordan - (abdulqader.othman@koyauniversity.org)
  • 6 Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, 55431, Iraq; College of Pharmacy, National University of Science and Technology, Dhi Qar, Iraq - (faisal.ghazi@uoanbar.edu.iq)
  • 7 Ministry of Education, Amman, Jordan - (emanbasssam@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.260122

    Received: October 13, 2024 Revised: January 03, 2025 Accepted: February 11, 2025
    Abstract

    In this careful study , through the concept possibility interval valued neutrosophic hyper soft set (abbreviated as piv-NHSS) which is combined from the hypersoft set (HSS) and Interval-valued neutrosophic set under the posobolity degree and each iv-NHSS is assigned a possibility degree in the interval [0, 1]. Based on this concept, we present a more flexible, expanded method for a previous concept named possibility interval valued neutrosophic hyper soft matrix (piv-NHSM) as a new generalization of piv-NHSS. In this work, we also present nseveral algebraic operations and also all the mathematical properties associated with this model. In addition to the above, we have presented a clear algorithm based on the matrix properties of this model, which has been used to solve one of the multi-property decision-making problems. Finally, the correlation coefficient for this concept was defined and explained in detail according to an approved mechanism, with a numerical example provided to illustrate the mechanism of use. Moreover, we develop a new algorithm for solving the decision-making issue based on the proposed correlation coefficient for piv-NHSS .

    Keywords :

    Interval-valued neutrosophic set , Soft set , Hypersoft set , Interval-valued neutrosophic hypersoft set , Possibility interval-valued neutrosophic hypersoft matrix , Correlation coefficient for possibility intervalvalued neutrosophic hypersoft sets , Decision-making

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    Cite This Article As :
    Hussein, Eman. , Al-Qudah, Yousef. , O., Abdulqader. , Al-Obaidi, R.H.. , S., Abdullah. , Al-Sharqi, Faisal. , Owledat, Anas. Matrices and Correlation Coefficient for possibility interval-valued neutrosophic hypersoft sets and their applications in real-life. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 254-265. DOI: https://doi.org/10.54216/IJNS.260122
    Hussein, E. Al-Qudah, Y. O., A. Al-Obaidi, R. S., A. Al-Sharqi, F. Owledat, A. (2025). Matrices and Correlation Coefficient for possibility interval-valued neutrosophic hypersoft sets and their applications in real-life. International Journal of Neutrosophic Science, (), 254-265. DOI: https://doi.org/10.54216/IJNS.260122
    Hussein, Eman. Al-Qudah, Yousef. O., Abdulqader. Al-Obaidi, R.H.. S., Abdullah. Al-Sharqi, Faisal. Owledat, Anas. Matrices and Correlation Coefficient for possibility interval-valued neutrosophic hypersoft sets and their applications in real-life. International Journal of Neutrosophic Science , no. (2025): 254-265. DOI: https://doi.org/10.54216/IJNS.260122
    Hussein, E. , Al-Qudah, Y. , O., A. , Al-Obaidi, R. , S., A. , Al-Sharqi, F. , Owledat, A. (2025) . Matrices and Correlation Coefficient for possibility interval-valued neutrosophic hypersoft sets and their applications in real-life. International Journal of Neutrosophic Science , () , 254-265 . DOI: https://doi.org/10.54216/IJNS.260122
    Hussein E. , Al-Qudah Y. , O. A. , Al-Obaidi R. , S. A. , Al-Sharqi F. , Owledat A. [2025]. Matrices and Correlation Coefficient for possibility interval-valued neutrosophic hypersoft sets and their applications in real-life. International Journal of Neutrosophic Science. (): 254-265. DOI: https://doi.org/10.54216/IJNS.260122
    Hussein, E. Al-Qudah, Y. O., A. Al-Obaidi, R. S., A. Al-Sharqi, F. Owledat, A. "Matrices and Correlation Coefficient for possibility interval-valued neutrosophic hypersoft sets and their applications in real-life," International Journal of Neutrosophic Science, vol. , no. , pp. 254-265, 2025. DOI: https://doi.org/10.54216/IJNS.260122

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