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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 25 , Issue 3 , PP: 242-257, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

A new generalization of interval-valued Q-neutrosophic soft matrix and its applications

Yousef Al-Qudah 1 * , Abdulqader O. Hamadameen 2 , Nadia Abdalla Kh 3 , Faisal Al-Sharqi 4

  • 1 Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman, Jordan - (alqudah@aau.edu.jo)
  • 2 Department of Mathematics, Faculty of Science and Health, Koya University, Danielle Mitterrand Boulevard, Koya KOY45, Kurdistan Region - F.R. Iraq - (abdulqader.othman@koyauniversity.org)
  • 3 Alryaiyna College of Science and Technecal, Alryaiyna west Mountain, Libya - (nadasn38@gmail.com)
  • 4 Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq; College of Pharmacy, National University of Science and Technology, Dhi Qar, Iraq - (faisal.ghazi@uoanbar.edu.iq)

    • Doi: https://doi.org/10.54216/IJNS.250322

    Received: March 04, 2024 Revised: May 29, 2024 Accepted: October 15, 2024
    Abstract

    Decision-making theory is an effective way to help the decision-maker take the right path to solve a problem. Among the applications of this theory is the medical field, i.e. allowing the decision maker (doctor) to analyze patient data and judge the result of this analysis as to whether the patient is infected or not. In this path and to enrich this theory with more flexible mathematical methods, we present in this work a more flexible expanded method for a previous concept called Interval-valued Q-neutrosophic soft matrix (IV-Q-NSM) as a new generalization of previous mathematical tools. These tools deal with the two-dimensional uncertainty issues that exist in many areas of life. Next, some ordinary algebraic properties and matrix operations have also been studied. After that, we present a new methodology for the decision-making (DM) selection problems in medical diagnoses.

    Keywords :

    Neutrosophic set , Q- neutrosophic set , Q-neutrosophic soft matrix , interval-valued neutrosophic set , soft set , Interval-valued neutrosophic soft set

    References

    [1] Zadeh, L. A. (1965). Fuzzy sets. Information Control, 8(3): 338-353.

    [2] Alhazaymeh, K., Al-Qudah, Y., Hassan, N., & Nasruddin, A. M. (2020). Cubic vague set and its application in decision making. Entropy, 22(9), 963.

    [3] Hassan, N., & Al-Qudah, Y. (2019, April). Fuzzy parameterized complex multi-fuzzy soft set. In Journal of Physics: Conference Series (Vol. 1212, p. 012016). IOP Publishing.

    [4] Zail, S. H., Abed, M. M., & Faisal, A. S. (2022). Neutrosophic BCK-algebra and Ω-BCK-algebra. International Journal of Neutrosophic Science, 19(3), 8-15.

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

    [6] Smarandache, F. A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Lgics, American Research Press, Reoboth, NM, USA, 1998.

    [7] Deli, I. (2017). Interval-valued neutrosophic soft sets and its decision making. International Journal of Machine Learning and Cybernetics, 8, 665-676.

    [8] F. Al-Sharqi, A. Al-Quran and Z. M. Rodzi, Multi-Attribute Group Decision-Making Based on Aggregation Operator and Score Function of Bipolar Neutrosophic Hypersoft Environment, Neutrosophic Sets and Systems, 61(1), 465-492, 2023.

    [9] Abed, M. M., Hassan, N., & Al-Sharqi, F. (2022). On neutrosophic multiplication module. Neutrosophic Sets and Systems, 49(1), 198-208.

    [10] M U Romdhini, F Al-Sharqi, A Nawawi, A Al-Quran, and H Rashmanlou. Signless Laplacian energy of interval-valued fuzzy graph and its applications. Sains Malaysiana, 52(7):2127–2137, 2023.

    [11] Al-Quran, A., Al-Sharqi, F., Rodzi, Z. M., Aladil, M., Romdhini, M. U., Tahat, M. K., & Solaiman, O. S. (2023). The Algebraic Structures of Q-Complex Neutrosophic Soft Sets Associated with Groups and Subgroups. International Journal of Neutrosophic Science, 22(1), 60-77.

    [12] Jamiatun Nadwa Ismail et al. The Integrated Novel Framework: Linguistic Variables in Pythagorean Neutrosophic Set with DEMATEL for Enhanced Decision Support. Int. J. Neutrosophic Sci., vol. 21, no. 2, pp. 129-141, 2023.

    [13] M U Romdhini, A Al-Quran, F Al-Sharqi, M K Tahat, and A Lutfi. Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields. International Journal of Neutrosophic Science, 22(04):93–105, 2023. [14] Al-Sharqi, F., Ahmad, A. G., & Al-Quran, A. (2022). Interval complex neutrosophic soft relations and their application in decision-making. Journal of Intelligent & Fuzzy Systems, 43(1), 745-771.

    [15] Abed, M. M., Al-Jumaili, A. F., Al-sharqi, F. G. Some mathematical structures in a topological group. Journal of Algebra and Applied Mathematics. 2018, 16(2), 99-117.

    [16] F. Al-Sharqi, A.G. Ahmad, A. Al-Quran, Interval-valued neutrosophic soft expert set from real space to complex space, Computer Modeling in Engineering and Sciences, vol. 132(1), pp. 267–293, 2022.

    [17] Abed, M. M.; Al-Sharqi, F.; Zail, S. H. A Certain Conditions on Some Rings Give P.P. Ring. Journal of Physics: Conference Series, 2021, 1818(1), 012068.

    [18] F. Al-Sharqi, A. Ahmad, A. Al-Quran, Fuzzy parameterized-interval complex neutrosophic soft sets and their applications under uncertainty, J. Intell. Fuzzy Syst. 44, (2023), 1453–1477.

    [19] Rodzi, Z. M et al. A DEMATEL Analysis of The Complex Barriers Hindering Digitalization Technology Adoption In The Malaysia Agriculture Sector. Journal of Intelligent Systems and Internet of Things, 13(1), 21-30, 2024.

    [20] Ali, T. M., & Mohammed, F. M. (2022). Some Perfectly Continuous Functions via Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science, 18(4), 174-183.

    [21] Khalaf, Z. A., & Mohammed, F. M. (2023). An Introduction to M-Open Sets in Fuzzy Neutrosophic Topological Spaces. International Journal of Neutrosophic Science, (4), 36-45.

    [22] Palanikumar, M., Hezam, I. M., Jana, C., Pal, M., & Weber, G. W. (2024). Multiple-attribute decision-making for selection of medical robotic engineering based on logarithmic square root neutrosophic normal approach. Journal of Industrial and Management Optimization, 20(7), 2405-2433.

    [23] Palanikumar, M., Jana, C., Hezam, I. M., Foul, A., Simic, V., & Pamucar, D. (2024). Multiple attribute decision-making model for artificially intelligent last-mile delivery robots selection in neutrosophic square root environment. Engineering Applications of Artificial Intelligence, 136, 108878.

    [24] Al-Qudah, Y., & Ganie, A. H. (2023). Bidirectional approximate reasoning and pattern analysis based on a novel Fermatean fuzzy similarity metric. Granular Computing, 8(6), 1767-1782.

    [25] Al-Qudah, Y., & Al-Sharqi, F. (2023). Algorithm for decision-making based on similarity measures of possibility interval-valued neutrosophic soft setting settings. International Journal of Neutrosophic Science, 22(3), 69-83.

    [26] Alahmadi, R. A., Ganie, A. H., Al-Qudah, Y., Khalaf, M. M., & Ganie, A. H. (2023). Multi-attribute decision-making based on novel Fermatean fuzzy similarity measure and entropy measure. Granular Computing, 8(6), 1385-1405.

    [27] Al-Sharqi, F., Al-Qudah, Y., & Alotaibi, N. (2023). Decision-making techniques based on similarity measures of possibility neutrosophic soft expert sets. Neutrosophic Sets and Systems, 55(1), 358 – 382.

    [28] Al-Hchaimi, A. A. J., Sulaiman, N. B., Mustafa, M. A. B., Mohtar, M. N. B., Hassan, S. L. B. M., & Muhsen, Y. R. (2022). Evaluation approach for efficient countermeasure techniques against denial-of-service attack on MPSoC-based IoT using multi-criteria decision-making. IEEE Access, 11, 89-106.

    [29] Abed, M. M. (2022). On Indeterminacy (Neutrosophic) of Hollow Modules. Iraqi Journal of Science, 2650-2655.

    [30] Rahman, A. U., Saeed, M., Mohammed, M. A., Abdulkareem, K. H., Nedoma, J., & Martinek, R. (2023). An innovative mathematical approach to the evaluation of susceptibility in liver disorder based on fuzzy parameterized complex fuzzy hypersoft set. Biomedical signal processing and control, 86, 105-204.

    [31] M. Arshad et al. (2024). A robust framework for the selection of optimal COVID-19 mask based on aggregations of interval-valued multi-fuzzy hypersoft sets. Expert systems with applications, 238, 121944. [32] Al-Qudah, Y., Jaradat, A., Sharma, S. K., & Bhat, V. K. (2024). Mathematical analysis of the structure of one-heptagonal carbon nanocone in terms of its basis and dimension. Physica Scripta, 99(5), 055252.

    [33] Abed, M. M., & Al-Sharqi, F. G. (2018, May). Classical Artinian module and related topics. In Journal of Physics: Conference Series (Vol. 1003, No. 1, p. 012065). IOP Publishing.

    [34] Ghazi, E., & Al-Salihi, S. O. (2024). A robust framework for medical diagnostics based on interval valued Q-neutrosophic soft sets with aggregation operators. Neutrosophic Sets and Systems, 68, 165-186.

    [35] F. Al-Sharqi, M. U. Romdhini, A. Al-Quran, Group decision-making based on aggregation operator and score function of Q-neutrosophic soft matrix, Journal of Intelligent and Fuzzy Systems, vol. 45, pp.305–321, 2023.

    [36] Auad , A. A., & Al-Sharqi, F. (2023). Identical Theorem of Approximation Unbounded Functions by Linear Operators. Journal of Applied Mathematics & Informatics, 41(4), 801–810.

    [37] Abu Qamar, M., Hassan, N. (2018). Generalized Q-neutrosophic soft expert set for decision under uncertainty. Symmetry, 10(11), 621.

    [38] F. Al-Sharqi, A. Al-Quran, M. U. Romdhini, Decision-making techniques based on similarity measures of possibility interval fuzzy soft environment, Iraqi Journal for Computer Science and Mathematics, vol. 4, pp.18--29, 2023.

    [39] Al-Qudah, Y., Alaroud, M., Qoqazeh, H., Jaradat, A., Alhazmi, S. E., & Al-Omari, S. (2022). Approximate analytic–numeric fuzzy solutions of fuzzy fractional equations using a residual power series approach. Symmetry, 14(4), 804.

    [40] Hamadameen, A. O., & Hassan, N. (2018). A compromise solution for the fully fuzzy multiobjective linear programming problems. Ieee Access, 6, 43696-43711.

    [41] Hamadameen, A. O., & Zainuddin, Z. M. (2014, June). Multiobjective fuzzy stochastic linear programming problems with inexact probability distribution. In AIP Conference Proceedings (Vol. 1602, No. 1, pp. 546-558). American Institute of Physics.

    [42] A. Bataihah, T. Qawasmeh, and M. Shatnawi. ”Discussion on b-metric spaces and related results in metric and G-metric spaces.” Nonlinear Functional Analysis and Applications 27, no. 2 (2022): 233-247.

    [43] A. Bataihah. Some fixed point results with application to fractional differential equation via new type of distance spaces. Results in Nonlinear Analysis 2024, 7, 202–208.

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

    [45] Abed, M. M. (2022). On Indeterminacy (Neutrosophic) of Hollow Modules. Iraqi Journal of Science, 2650-2655.

    Cite This Article As :
    Al-Qudah, Yousef. , O., Abdulqader. , Abdalla, Nadia. , Al-Sharqi, Faisal. A new generalization of interval-valued Q-neutrosophic soft matrix and its applications. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 242-257. DOI: https://doi.org/10.54216/IJNS.250322
    Al-Qudah, Y. O., A. Abdalla, N. Al-Sharqi, F. (2025). A new generalization of interval-valued Q-neutrosophic soft matrix and its applications. International Journal of Neutrosophic Science, (), 242-257. DOI: https://doi.org/10.54216/IJNS.250322
    Al-Qudah, Yousef. O., Abdulqader. Abdalla, Nadia. Al-Sharqi, Faisal. A new generalization of interval-valued Q-neutrosophic soft matrix and its applications. International Journal of Neutrosophic Science , no. (2025): 242-257. DOI: https://doi.org/10.54216/IJNS.250322
    Al-Qudah, Y. , O., A. , Abdalla, N. , Al-Sharqi, F. (2025) . A new generalization of interval-valued Q-neutrosophic soft matrix and its applications. International Journal of Neutrosophic Science , () , 242-257 . DOI: https://doi.org/10.54216/IJNS.250322
    Al-Qudah Y. , O. A. , Abdalla N. , Al-Sharqi F. [2025]. A new generalization of interval-valued Q-neutrosophic soft matrix and its applications. International Journal of Neutrosophic Science. (): 242-257. DOI: https://doi.org/10.54216/IJNS.250322
    Al-Qudah, Y. O., A. Abdalla, N. Al-Sharqi, F. "A new generalization of interval-valued Q-neutrosophic soft matrix and its applications," International Journal of Neutrosophic Science, vol. , no. , pp. 242-257, 2025. DOI: https://doi.org/10.54216/IJNS.250322

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