Volume 27 , Issue 2 , PP: 01-07, 2026 | Cite this article as | XML | Html | PDF | Full Length Article
S. Murali 1 , M. Ramya 2 * , R. Radha 3
Doi: https://doi.org/10.54216/IJNS.270201
A correlation coefficient is a statistical measure, which contributes measure, whichhe degree to which changes in one variable predict changes in another. In this article, we analyze the characteristics of Fermatean Quadripartitioned Neutrosophic sets with improved correlation coefficients. We have also used the same approach in multiple attribute decision-making methodologies including one with a Fermatean Quadripartitioned Neutrosophic environment. Finally, we implemented for above technique to the problem of multiple attribute group decision making.
Fermatean quadripartitioned neutrosophic sets , Neutrosophic Sets , Improved correlation coefficient
[1] K. Atanassov, "Intuitionistic fuzzy sets," Fuzzy Sets and Systems, vol. 20, pp. 87–96, 1986.
[2] S. Broumi and F. Smarandache, "Rough neutrosophic sets," Italian Journal of Pure and Applied Mathematics, vol. 32, pp. 493–502, 2014.
[3] D. A. Chiang and N. P. Lin, "Correlation of fuzzy sets," Fuzzy Sets and Systems, vol. 102, pp. 221–226, 1999.
[4] D. H. Hong, "Fuzzy measures for a correlation coefficient of fuzzy numbers under Tw (the weakest t-norm)-based fuzzy arithmetic operations," Information Sciences, vol. 176, pp. 150–160, 2006.
[5] R. Chatterjee, P. Majumdar, and S. K. Samanta, "On some similarity measures and entropy on quadripartitioned single valued neutrosophic sets," Journal of Intelligent & Fuzzy Systems, vol. 30, pp. 2475–2485, 2016.
[6] R. Radha and A. S. Arul Mary, "Improved correlation coefficients of quadripartitioned neutrosophic Pythagorean sets using MADM," Journal of Computational Mathematics, vol. 5, no. 1, pp. 142–153, 2021.
[7] M. Ramya, S. Murali, and R. Radha, "Fermatean quadripartitioned neutrosophic set," IJRCT, vol. 10, no. 9, pp. D35–D41, 2022.
[8] R. Malik and S. Pramanik, "Pentapartitioned neutrosophic set and its properties," Neutrosophic Sets and Systems, vol. 36, pp. 184–192, 2020.
[9] F. Smarandache, A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic. Rehoboth, DE, USA: American Research Press, 1999.
[10] H. Wang, F. Smarandache, Y. Q. Zhang, and R. Sunderraman, "Single valued neutrosophic sets," Multispace and Multistructure, vol. 4, pp. 410–413, 2010.
[11] G. W. Wei, H. J. Wang, and R. Lin, "Application of correlation coefficient to interval-valued intuitionistic fuzzy multiple attribute decision-making with incomplete weight information," Knowledge and Information Systems, vol. 26, pp. 337–349, 2011.
[12] J. Ye, "Multicriteria fuzzy decision-making method using entropy weights-based correlation coefficients of interval-valued intuitionistic fuzzy sets," Applied Mathematical Modelling, vol. 34, pp. 3864–3870, 2010.
[13] J. Ye, "Another form of correlation coefficient between single valued neutrosophic sets and its multiple attribute decision-making method," Neutrosophic Sets and Systems, vol. 1, pp. 8–12, 2013, doi: 10.5281/zenodo.571265.
[14] L. A. Zadeh, "Fuzzy sets," Information and Control, vol. 8, pp. 87–96, 1965.
[15] R. M. Zulqarnain, X. L. Xin, I. Siddique, W. Asghar Khan, and M. A. Yousif, "TOPSIS method based on correlation coefficient under Pythagorean fuzzy environment and its application towards green supply chain management," Sustainability, vol. 13, p. 1642, 2021.