International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 23 , Issue 3 , PP: 08-17, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Neutrosophic Fuzzy Score Matrices: A Robust Framework for Advancing Medical Diagnostics

Priya Mathews 1 * , Lovelymol Sebastian 2 , Baiju Thankachan 3

  • 1 Department of Mathematics, St Thomas College, Palai,Kerala, India. - (priyamathews@stthomascollege.info)
  • 2 Department of Mathematics, St Thomas College, Palai,Kerala, India. - (lovelymaths95@gmail.com)
  • 3 Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal-576104, Karnataka,India - (baiju.t@manipal.edu)
  • Doi: https://doi.org/10.54216/IJNS.230301

    Received: July 14, 2023 Revised: September 12, 2023 Accepted: January 12, 2024
    Abstract

    In this paper, we introduce the Single-Valued Neutrosophic Fuzzy Matrix (SVNFM), which consists of entries that are all single-valued neutrosophic fuzzy sets (SVNFS). Our objective is to provide a practical tool for dealing with uncertain and indeterminate input. To achieve this, we first define a neutrosophic fuzzy matrix (NFM) and discuss its fundamental properties. The use of various operations in decision making is a notable characteristic of single-valued neutrosophic fuzzy matrices (SVNFMs). In this paper, we propose a multicriteria group decision-making method that incorporates novel operations on neutrosophic fuzzy matrices. Finally, we present a case study to demonstrate the effectiveness of the proposed strategy.

    Keywords :

    Neutrosophic Fuzzy Sets , Single Valued Neutrosophic Fuzzy Sets , Neutrosophic Matrices , Neutrosophic Fuzzy Matrices

    References

    [1] L. A. Zadeh, “Fuzzy sets as a basis for a theory of possibility,” Fuzzy sets and systems 1, 3–28 (1978)

    [2] F. Smarandache, “Neutrosophic set-a generalization of the intuitionistic fuzzy set,” International journal of pure and applied mathematics 24,287 (2005).

    [3] S. Das, B. K. Roy, M. B. Kar, S. Kar, and D. Pamucar, “Neutrosophic fuzzy set and its application in decision making,” Journal of Ambient ˇIntelligence and Humanized Computing 11, 5017–5029 (2020).

    [4] B. P. Varol, V. Cetkin, and H. Aygun, A new view on neutrosophic matrix (Infinite Study, 2019)

    [5] L. A. Zadeh, “Fuzzy sets,” in Fuzzy sets, fuzzy logic, and fuzzy systems: selected papers by Lotfi A Zadeh (World Scientific, 1996) pp. 394–432.

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

    [7] E. Szmidt and J. Kacprzyk, “A note on the hausdorff distance between atanassov’s intuitionistic fuzzy sets,” Notes on Intuitionistic Fuzzy Set 15, 1–12 (2009).

    [8] S. Broumi and F. Smarandache, Several similarity measures of neutrosophic sets (Infinite Study, 2013).

    [9] P. Mathews and L. Sebastian, “Hausdorff distance of neutrosophic fuzzy sets for medical diagnosis,” in AIP Conference Proceedings, Vol. 2875 (AIP Publishing, 2023)osophic sets (Infinite Study, 2013).

    [10] S. Alblowi, A. Salama, and M. Eisa, New concepts of neutrosophic sets (Infinite Study, 2014).

    [11] X. Peng and J. Dai, “A bibliometric analysis of neutrosophic set: two decades review from 1998 to 2017,” Artificial Intelligence Review 53, 199–255 (2020).

    [12] B. B. Chaudhuri and A. Rosenfeld, “A modified hausdorff distance between fuzzy sets,” Information Sciences 118, 159–171 (1999).

    [13] J. Zou, Y. Deng, Y. Hu, and G. Lin, Measure distance between neutrosophic sets: An evidential approach (Infinite Study, 2018).

    [14] P. Majumdar and S. K. Samanta, “On similarity and entropy of neutrosophic sets,” Journal of Intelligent & Fuzzy Systems 26, 1245–1252 (2014).

    [15] J. Ye, “Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment,” International Journal of General Systems 42, 386–394 (2013).

    [16] J. Ye, “A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets,” Journal of Intelligent & Fuzzy Systems 26, 2459–2466 (2014).

    [17] H. Wu, Y. Yuan, L. Wei, and L. Pei, “On entropy, similarity measure and cross-entropy of singlevalued neutrosophic sets and their application in multi-attribute decision making,” Soft Computing 22, 7367–7376 (2018).

    [18] Y. Wang, H. Yang, and K. Qin, “The consistency between cross-entropy and distance measures in fuzzy sets,” Symmetry 11, 386 (2019)

    [19] Dhar, Mamouni and Broumi, Said and Smarandache, Florentin,”A note on square neutrosophic fuzzy matrices”,infinite Study,2014

    [20] Deli, Irfan and Broumi, Said, ”Neutrosophic soft matrices and NSM-decision making”,Journal of Intelligent & Fuzzy Systems,volume-28, number-5,2233–2241,2015,IOS press.

    [21] Bhutani, Kanika and Kumar, Megha and Garg, Gaurav and Aggarwal, Swati,”Assessing it projects success with extended fuzzy cognitive maps & neutrosophic cognitive maps in comparison to fuzzy cognitive maps”,Neutrosophic Sets and Systems,volume-12,number-1,pages9-19,2016,

    [22] Journal Article,” Some new operations on single-valued neutrosophic matrices and their applications in multi-criteria group decision making, Karaaslan, Faruk, Hayat, Khizar, Applied Intelligence,Volume, 4594-461, 0924-669X, 2018, Springer.

    [23] Journal Article, ”Neutrosophic Matrices and Their Properties”,Ali, Rozina, researchgat. net, 2021.

    [24] Journal Article, ”Some Algebraic Structure of Neutrosophic Matrices”, Al-Odhari,A, Prospects for Applied Mathematics and data Analysis (PAMDA),Volume- 1, 37-44, 2023.

    [25] Varol, Banu Pazar,Cetkin, Vildan, Aygun, Halis,” A new view on neutrosophic matrix”,Journal of hyperstructures, Infinite Study,2019

    Cite This Article As :
    Mathews, Priya. , Sebastian, Lovelymol. , Thankachan, Baiju. Neutrosophic Fuzzy Score Matrices: A Robust Framework for Advancing Medical Diagnostics. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 08-17. DOI: https://doi.org/10.54216/IJNS.230301
    Mathews, P. Sebastian, L. Thankachan, B. (2024). Neutrosophic Fuzzy Score Matrices: A Robust Framework for Advancing Medical Diagnostics. International Journal of Neutrosophic Science, (), 08-17. DOI: https://doi.org/10.54216/IJNS.230301
    Mathews, Priya. Sebastian, Lovelymol. Thankachan, Baiju. Neutrosophic Fuzzy Score Matrices: A Robust Framework for Advancing Medical Diagnostics. International Journal of Neutrosophic Science , no. (2024): 08-17. DOI: https://doi.org/10.54216/IJNS.230301
    Mathews, P. , Sebastian, L. , Thankachan, B. (2024) . Neutrosophic Fuzzy Score Matrices: A Robust Framework for Advancing Medical Diagnostics. International Journal of Neutrosophic Science , () , 08-17 . DOI: https://doi.org/10.54216/IJNS.230301
    Mathews P. , Sebastian L. , Thankachan B. [2024]. Neutrosophic Fuzzy Score Matrices: A Robust Framework for Advancing Medical Diagnostics. International Journal of Neutrosophic Science. (): 08-17. DOI: https://doi.org/10.54216/IJNS.230301
    Mathews, P. Sebastian, L. Thankachan, B. "Neutrosophic Fuzzy Score Matrices: A Robust Framework for Advancing Medical Diagnostics," International Journal of Neutrosophic Science, vol. , no. , pp. 08-17, 2024. DOI: https://doi.org/10.54216/IJNS.230301