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

Eman; Yousef; Abdulqader O.; R.H.; Abdullah S.; Faisal; Anas

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

Full Length Article

Volume 26 • Issue 1 • PP: 254-265 • 2025

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

Eman Hussein ^1*

mail

,

Yousef Al-Qudah ¹

mail

,

Abdulqader O. Hamadameen ²

mail

,

R.H. Al-Obaidi ³

mail

,

Abdullah S. Al-Jawarneh ¹

mail

,

Faisal Al-Sharqi ⁴

mail

,

Anas Owledat ⁵

mail

¹Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman, 11953, Jordan

²Department of Mathematics, Faculty of Science and Health, Koya University, Danielle Mitterrand Boulevard, Koya, Kurdistan Region-F.R. KOY45, Iraq

³Artificial Intelligence Sciences Department, College of sciences, Al-Mustaqbal University , 51001,Babil, Iraq

⁴Department 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

⁵Ministry of Education, Amman, Jordan

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.260122

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

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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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Hussein, Eman, Al-Qudah, Yousef, Hamadameen, Abdulqader O., Al-Obaidi, R.H., Al-Jawarneh, Abdullah S., 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. Volume 26, no. Issue 1, 2025, pp. 254-265. DOI: https://doi.org/10.54216/IJNS.260122

Hussein, E., Al-Qudah, Y., Hamadameen, A., Al-Obaidi, R., Al-Jawarneh, 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, Volume 26(Issue 1), 254-265. DOI: https://doi.org/10.54216/IJNS.260122

Hussein, Eman, Al-Qudah, Yousef, Hamadameen, Abdulqader O., Al-Obaidi, R.H., Al-Jawarneh, Abdullah S., 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 Volume 26, no. Issue 1 (2025): 254-265. DOI: https://doi.org/10.54216/IJNS.260122

Hussein, E., Al-Qudah, Y., Hamadameen, A., Al-Obaidi, R., Al-Jawarneh, 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, Volume 26(Issue 1), pp. 254-265. DOI: https://doi.org/10.54216/IJNS.260122

Hussein E, Al-Qudah Y, Hamadameen A, Al-Obaidi R, Al-Jawarneh 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. 2025;Volume 26(Issue 1):254-265. DOI: https://doi.org/10.54216/IJNS.260122

E. Hussein, Y. Al-Qudah, A. Hamadameen, R. Al-Obaidi, A. Al-Jawarneh, F. Al-Sharqi, A. Owledat, "Matrices and Correlation Coefficient for possibility interval-valued neutrosophic hypersoft sets and their applications in real-life," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, pp. 254-265, 2025. DOI: https://doi.org/10.54216/IJNS.260122

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