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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

    References

    [1] Smarandache, F., 1998. Neutrosophy: neutrosophic probability, set, and logic: analytic synthesis and synthetic analysis.

    [2] Wang, H., Smarandache, F., Zhang, Y. and Sunderraman, R., 2010. Single valued neutrosophic sets. Infinite study.

    [3] Wang, H., Smarandache, F., Sunderraman, R. and Zhang, Y.Q., 2005. interval neutrosophic sets and logic: theory and applications in computing: Theory and applications in computing (Vol. 5). Infinite Study.

    [4] Broumi, S., Dhar, M., Bakhouyi, A., Bakali, A. and Talea, M., 2022. Medical diagnosis problems based on neutrosophic sets and their hybrid structures: A survey. Neutrosophic Sets and Systems, 49(1), pp.1- 18.

    [5] Alkhazaleh, S. and Hazaymeh, A.A., 2018. N-valued refined neutrosophic soft sets and their applications in decision making problems and medical diagnosis. Journal of Artificial Intelligence and Soft Computing Research, 8(1), pp.79-86.

    [6] Ihsan, M., Saeed, M., Rahman, A.U., Mohammed, M.A., Abdulkaree, K.H., Alghawli, A.S. and Alqaness, M.A., 2023. An innovative decision-making framework for supplier selection based on a hybrid interval-valued neutrosophic soft expert set. AIMS Mathematics, 8(9), pp.22127-22161.

    [7] Hazaymeh, A.A. and Bataihah, A., 2025. Neutrosophic fuzzy metric spaces and fixed points for contractions of nonlinear type. Neutrosophic Sets and Systems, 77, pp.96-112.

    [8] Bataihah, A. and Hazaymeh, A., 2025. Quasi Contractions and Fixed Point Theorems in the Context of Neutrosophic Fuzzy Metric Spaces. European Journal of Pure and Applied Mathematics, 18(1), pp.5785- 5785.

    [9] Ismail, J.N., Rodzi, Z., Hashim, H., Sulaiman, N.H., Al-Sharqi, F., Al-Quran, A. and Ahmad, A.G., 2023. Enhancing Decision Accuracy in DEMATEL using Bonferroni Mean Aggregation under Pythagorean Neutrosophic Environment. Journal of Fuzzy Extension and Applications (JFEA), 4(4),281 - 298.

    [10] Ibrahim, A.M.M., Alduais, F.S., Khan, Z., Amin, A. and LaneKrebs, K., 2023. Neutrosophic structure of the geometric model with applications. Neutrosophic Sets and Systems, 61, pp.382-394.

    [11] Ambark, A.S., Ismail, M.T., Al-Jawarneh, A.S. and Karim, S.A.A., 2023. Elastic Net Penalized Quantile Regression Model and Empirical Mode Decomposition for Improving the Accuracy of the Model Selection. IEEE Access, 11, pp.26152-26162.

    [12] Al-Qudah, Y. and Hassan, N., 2019, June. Fuzzy parameterized complex multi-fuzzy soft expert sets. In AIP Conference Proceedings (Vol. 2111, No. 1). AIP Publishing.

    [13] Qoqazeh, H., Atoom, A., Alholi, M., ALmuhur, E., Hussein, E., Owledat, A. and Al-Nana, A., 2024. KC-bitopological spaces. AIMS Mathematics, 9(11), pp.32182-32199.

    [14] Al-Quran, A., Al-Sharqi, F., Rahman, A.U. and Rodzi, Z.M., 2024. The q-rung orthopair fuzzy-valued neutrosophic sets: Axiomatic properties, aggregation operators and applications. AIMS Mathematics, 9(2), pp.5038-5070.

    [15] Narmadhagnanam, R. and Samuel, A.E., 2022. Sine Exponential Measure of Single Valued Neutrosophic Sets in Medical Diagnosis. Neutrosophic Sets and Systems, vol. 51/2022: An International Journal in Information Science and Engineering, p.303.

    [16] Karaaslan, F., 2017. Possibility neutrosophic soft sets and PNS-decision making method. Applied Soft Computing, 54, pp.403-414.

    [17] Al-Hijjawi, S. and Alkhazaleh, S., 2023. Possibility Neutrosophic Hypersoft Set (PNHSS). Neutrosophic Sets and Systems, vol. 53/2023: An International Journal in Information Science and Engineering, p.117.

    [18] Romdhini, M.U., Al-Sharqi, F., Al-Obaidi, R.H. and Rodzi, Z.M., 2025. Modeling uncertainties associated with decision-making algorithms based on similarity measures of possibility belief interval-valued fuzzy hypersoft setting. Neutrosophic Sets and Systems, 77, pp.282-309.

    [19] Hussein et al. (2025). Similarity measure and sine exponential measure of possibility interval-valued neutrosophic hypersoft sets and their applications. Neutrosophic Sets and Systems, 81, 41-61.

    [20] Kareem, F. F., & Abed, M. M. (2021, May). Generalizations of Fuzzy k-ideals in a KU-algebra with Semigroup. In Journal of Physics: Conference Series (Vol. 1879, No. 2, p. 022108). IOP Publishing.

    [21] Romdhini, M. U., & Nawawi, A. (2022). Maximum and minimum degree energy of commuting graph for dihedral groups. Sains Malaysiana, 51(12), 4145-4151.

    [22] Smarandache, F. (2023). New Types of Soft Sets “HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set”: An Improved Version. Neutrosophic Systems With Applications, 8, 35-41.

    [23] Romdhini, M. U., & Nawawi, A. (2022). Degree sum energy of non-commuting graph for dihedral groups. Malaysian Journal of Science, 41(sp1), 34-39.

    [24] Saraswathi, A., Edalatpanah, S. A., & Kiyadeh, S. H. H. (2024). A decision-making approach for studying fuzzy relational maps under uncertainty. Systemic analytics, 2(2), 243-255.

    [25] Musa, S. Y., Mohammed, R. A., & Asaad, B. A. (2023). N-hypersoft sets: An innovative extension of hypersoft sets and their applications. Symmetry, 15(9), 1795.

     

    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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