Application of neutrosophic over soft orbit topological spaces in basketball team player selection
*R. Narmada DeviCorresponding authornarmadadevi23@gmail.comDepartment of MathematicsAvadiVel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and TechnologyChennai, Tamil Nadu, 600062, IndiaView full profile → , Yamini Parthibanyaminiparthiban.msc@gmail.comAffiliation 1Department of MathematicsRamapuramSRM Institute of Science and TechnologyChennai, Tamil Nadu, 600089, IndiaAffiliation 2Department of Mathematics and Science EducationFaculty of EducationHarran UniversitySanliurfa, TurkeyView full profile → , S. Padmapriyapriyasathi17@gmail.comDepartment of MathematicsMinnampalliMahendra College of EngineeringSalem, Tamil Nadu, 636106, IndiaView full profile → , G. Muthumarimuthumarig@saec.ac.inDepartment of MathematicsKavaraipettaiR. M. D Engineering CollegeChennai, Tamil Nadu, 601206, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Nov 2025
- Published Online:
- 30 Jun 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2445
- Pages:
- 1991–2009
Abstract
Keywords
Subject Classifications
References
[1] K. T. Atanassov and A. G. Shannon, “A note on intuitionistic fuzzy logics,” Acta Philosophica, vol. 7, no. 1, pp. 121–125 (1998).
[2] K. T. Atanassov, “Intuitionistic fuzzy modal topological structure,” Mathematics, vol. 10, no. 18, p. 3313 (2022).
[3] R. E. Bellman and L. A. Zadeh, “Decision-making in a fuzzy environment,” Management Science, vol. 17, no. 4, pp. B-141–B-164 (1970).
[4] S. Broumi, “Generalized neutrosophic soft set,” International Journal of Computer Science, Engineering and Information Technology, vol. 3, no. 2, pp. 17-30 (2013).
[5] H. Bustince and P. Burillo, “Correlation of interval-valued intuitionistic fuzzy sets,” Fuzzy Sets Syst., vol. 74, no. 2, pp. 237–244 (1995).
[6] V. Christianto, R. N. Boyd, and F. Smarandache, “Three possible applications of neutrosophic logic in fundamental and applied sciences,” International Journal of Neutrosophic Science, vol. 1, no. 2, PP. 90-95 (2020).
[7] C. Deshpande, C. Ramtirthkar, T. A. Wani, and V. K. Bhosale, “Topology and knot theory applications in quantum field theory,” J. Interdiscip. Math., vol. 28, no. 6, pp. 2281–2287 (2025).
[8] R. N. Devi and Y. Parthiban, “Decision making by neutrosophic over soft topological space,” Neutrosophic Sets Syst., vol. 66, pp. 76–94 (2024).
[9] R. N. Devi and Y. Parthiban, “Exploring neutrosophic over supra exterior modal topological structure: Theory and application in healthcare decision-making,” Neutrosophic Sets Syst., vol. 72, pp. 272–285 (2024).
[10] R. N. Devi and Y. Parthiban, “Analyzing pharmaceutical compounds through neutrosophic over soft hyperconnected spaces,” Orient. J. Chem., vol. 40, no. 6, pp. 1627–1633 (2024).
[11] R. Dhavaseelan, R. N. Devi, S. Jafari, and Q. H. Imran, “Neutrosophic alpha m-continuity,” Neutrosophic Sets Syst., vol. 27, no. 1, pp. 171-179 (2019).
[12] G. A. Hussein and Z. D. Al-Nafie, “Regularity and normality of nano topological spaces modeled by pre-open sets structures,” J. Interdiscip. Math., vol. 27, no. 4, pp. 667–673 (2024).
[13] R. Jansi, K. Mohana, and F. Smarandache, “Correlation measure for pythagorean neutrosophic sets with T and F as dependent neutrosophic components,” Neutrosophic Sets Syst., vol. 30, no. 1, pp. 202-212 (2019).
[14] K. S. Mhavarkar, “Critical analysis of bankruptcy risk using Altman’s Z-score model of India Cement Ltd. (2020–2024),” J. Stat. Manag. Syst., vol. 29, no. 4, pp. 399–412 (2026).
[15] T. Madhumathi and F. N. Irudayam, “Neutrosophic Orbit Topological Spaces,” Trends Sci., vol. 18, no. 24, p. 1443 (2021).
[16] T. Madhumathi and F. N. Irudayam, “Neutrosophic Orbit Continuous Mappings,” Neutrosophic Sets Syst., vol. 50, p. 287 (2022).
[17] P. K. Maji, R. Biswas, and A. R. Roy, “Soft set theory,” Comput. Math. Appl., vol. 45, no. 4–5, pp. 555–562 (2003).
[18] R. Mallick and S. Pramanik, “Pentapartitioned neutrosophic set and its properties,” Neutrosophic Sets Syst., vol. 36, no. 1, pp. 184-192 (2020).
[19] D. Molodtsov, “Soft set theory First results,” Comput. Math. Appl., vol. 37, no. 4, pp. 19–31 (1999).
[20] R. Murugesan, Y. Parthiban, R. N. Devi, K. R. Mohan, and S. K. Kumaravel, “A comparative study of fuzzy cognitive maps and neutrosophic cognitive maps on COVID variants,” Neutrosophic Sets and Systems, vol. 55, no. 1, p. 20 (2023).
[21] R. Radha, A. S. A. Mary, R. Prema, and S. Broumi, “Neutrosophic pythagorean sets with dependent neutrosophic pythagorean components and its improved correlation coefficients,” Neutrosophic Sets Syst., vol. 46, pp. 77–86 (2021).
[22] R. N. Majeed and S. A. El-sheikh, “Fuzzy orbit topological spaces,” Mater. Sci. Eng., vol. 571, p. 012026 (2019).
[23] M. Saeed, M. Saqlain, A. Mehmood, and S. Yaqoob, “Multi-polar neutrosophic soft sets with application in medical diagnosis and decision-making,” Neutrosophic Sets Syst., vol. 33, pp. 183–207 (2020).
[24] F. Smarandache, A Unifying Field in Logics: Neutrosophic Logic. Rehoboth, NM, USA: American Research Press (1999).
[25] F. Smarandache and S. Pramanik, New Trends in Neutrosophic Theory and Applications, vol. 1, I. Brussels, Belgium: Pons Editions (2016).
[26] F. Smarandache, Neutrosophic Overset, Neutrosophic Underset, and Neutrosophic Offset. Brussels, Belgium: Pons Editions (2016).
[27] H. Wang, F. Smarandache, Y. Zhang, and R. Sunderraman, “Single valued neutrosophic sets,” Multispace & Multistructure, vol. 12 (2010).
[28] J. Ye, “Another form of correlation coefficient between single valued neutrosophic sets and its multiple attribute decision-making method,” Neutrosophic Sets Syst., vol. 1, no. 1, pp. 8–12 (2013).
[29] L. A. Zadeh, “Fuzzy sets,” Inf. Control, vol. 8, no. 3, pp. 338–353 (1965).
[30] L. A. Zadeh, “Fuzzy sets as a basis for a theory of possibility,” Fuzzy Sets Syst., vol. 1, no. 1, pp. 3–28 (1978).
[31] T. G. Alemayehu and Z. A. Ageze, “Fuzzy ideals and fuzzy congruences of distributive demi-p-algebras,” J. Discrete Math. Sci. Cryptogr., vol. 26, no. 8, pp. 2127–2137 (2022).
[32] S. Shirina, R. Bali, Y. Sharma, P. Singh, and S. Kadyan, “Exploring the connection among employee performance, employee retention, and employee engagement within higher education institutions (HEIs),” J. Inf. Optim. Sci., vol. 44, no. 8, pp. 1529–1542 (2023).




