Redefined neutrosophic composite relation and its application in medical diagnosis

Document Type : Research Paper


1 Department of Mathematics, Science College, Kokrajhar, Assam, India

2 Department of Mathematics, Central Institute of Technology, Kokrajhar, Assam, India


In this article, we redefine the single-valued neutrosophic composite relation and apply it to medical diagnosis. We also show that the redefined neutrosophic composite relation gives a better result.


[1] M. Abdel-Basset, A. Gamal, R.K. Chakrabortty and M.J. Ryan, A new hybrid multi-criteria decision-making
approach for location selection of sustainable offshore wind energy stations: A case study, J. Cleaner Prod. 280
(2021), 124462.
[2] M. Abdel-Basset, A. Gamal, R.K. Chakrabortty and M.J. Ryan, Evaluation of sustainable hydrogen production
options using an advanced hybrid MCDM approach: A case study, Int. J. Hydrogen Energy 46 (2021), no. 5,
[3] M. Abdel-Basset, A. Gamal, G. Manogaran and H.V. Long, A novel group decision making model based on
neutrosophic sets for heart disease diagnosis, Multimedia Tools Appl. 79 (2020), 9977–10002.
[4] M. Abdel-Basset, G. Manogaran and M. Mohamed, A neutrosophic theory based security approach for fog and
mobile-edge computing, Comput. Networks 157 (2018), 122–132.
[5] M. Abdel-Basset, R. Mohamed, F. Smarandache and M. Elhoseny, A new decision-making model based on
plithogenic set for supplier selection, Comput. Mater. Cont. 66 (2021), no. 3, 2751–2769.
[6] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets Syst. 20 (1986), 87–96.
[7] R. Biswas, Intuitionistic fuzzy relations, Bull. Sous. Ens. Flous. Appl. (BUSEFAL), 70 (1997), 22–29.
[8] P. Biswas, S. Pramanik and B.C. Giri, A new methodology for neutrosophic multi-attribute decision making with
unknown weight information, Neutrosophic Sets Syst. 3 (2014), 42–52.
[9] Y. Chaw, L. Abdullah and M. Othman, Single-valued neutrosophic relations and their application to factors
affecting oil prices, CAAI Trans. Intell. Technol. 5 (2020), 115–120.
[10] H.D. Cheng and Y. Guo, A new neutrosophic approach to image thresholding, New Math. Natural Comput. 4
(2008), no. 3, 291–308.
[11] S.K. De, R. Biswas and A.R. Roy, An application of intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets Syst.
117 (2001), no. 2, 209–213.
[12] P.J. Ejegwa and B.O. Onasanya, Improved intuitionistic fuzzy composite relation and its application to medical
diagnosis process, NIFS, 25 (2018), no. 1, 43–52.
[13] Y. Guo and H.D. Cheng, New neutrosophic approach to image segmentation, Pattern Recog. 42 (2009), 587–595.
[14] S. Karatas and C. Kuru, Neutrosophic topology, Neutrosophic Sets Syst. 13 (2016), no. 1, 90–95.
[15] J. Kim, P.K. Lim, J.G. Lee and K. Hur, Single valued neutrosophic relations, Ann. Fuzzy Math. Inf. 2 (2018),
no. 16, 201–221.[16] K. Mondal and S. Pramanik, A study on problems of Hijras in West Bengal based on neutrosophic cognitive maps,
Neutrosophic Sets Syst. 5 (2014), 21–26.
[17] K. Mondal and S. Pramanik, Multi-criteria group decision making approach for teacher recruitment in higher
education under simplified neutrosophic environment, Neutrosophic Sets Syst. 6 (2014), 28–34.
[18] K. Mondal and S. Pramanik, Neutrosophic decision making model of school choice, Neutrosophic Sets Syst. 7
(2015), 62–68.
[19] S. Pramanik and S.N. Chackrabarti, A study on problems of construction workers in West Bengal based on
neutrosophic cognitive maps, Int. J. Innov. Res. Sci. Engin. Technol. 2 (2013), no. 11, 6387–6394.
[20] S. Pramanik and T. Roy, Neutrosophic Game Theoretic Approach to Indo-Pak Conflict over Jammu-Kashmir,
Neutrosophic Sets Syst. 2 (2014), no. 1, 82–101.
[21] G.C. Ray and S. Dey, Neutrosophic point and its neighbourhood structure, Neutrosophic Sets Syst. 43 (2021),
[22] A.A. Salama and S. Alblowi, Generalized neutrosophic set and generalized neutrosophic topological spaces, Comput. Sci. Engin. 2 (2012), no. 7, 129–132.
[23] A.A. Salama and S. Alblowi, Neutrosophic set and neutrosophic topological spaces, IOSR J. Math. 3 (2012), no.
4, 31–35.
[24] A.A. Salama, S. Broumi and F. Smarandache, Some types of neutrosophic crisp sets and neutrosophic crisp
relations, Int. J. Inf. Engin. Electronic Bus. 2014,
[25] A.A. Salma and F. Smarandache, Neutrosophic set theory, The Educational Publisher 415 Columbus, Ohio, 2015.
[26] A.A. Salama and F. Smarandache, Neutrosophic crisp set theory, The Educational Publisher, Columbus, Ohio,
[27] G. Shahzadi, M. Akram and A.B. Saeid, An application of single-valued neutrosophic sets in medical diagnosis,
Neutrosophic Sets Syst. 18 (2019), no. 1, 80–88.
[28] F. Smarandache, A unifying field in logics: Nneutrosophic logic, neutrosophy, neutrosophic set, neutrosophic
probability, American Research Press, Rehoboth, NM, 1999.
[29] F. Smarandache, Neutrosophy and neutrosophic logic, First Int. Conf. Neutrosophy, Neutrosophic Logic, Set,
Probability, and Statistics, University of New Mexico, Gallup, NM 87301, USA, 2002.
[30] F. Smarandache, Neutrosophic set: A generalization of the intuitionistic fuzzy set, Int. J. Pure Appl. Math. 24
(2005), no. 3, 287–297.
[31] H. Wang, F. Smarandache, Y.Q. Zhang and R. Sunderraman, Single valued neutrosophic sets, Multispace Multistruct 4 (2010), 410–413.
[32] L. Yang, Z. Guo, Y. She and X. Liao, On single valued neutrosophic relations, J, Intell, Fuzzy Syst, 30 (2016),
[33] J. Ye, Single valued neutrosophic cross entropy for multicriteria decision making problems, Appl. Math. Model.
38 (2014), 1170–1175.
[34] S. Ye, J. Fu and J. Ye, Medical diagnosis using distance based similarity measures of single valued neutrosophic
multisets, Neutrosophic Sets Syst. 7 (2014), 47–52.
[35] L.A. Zadeh, Fuzzy sets, Inform. Cont. 8 (1965), 338–353.
Volume 13, Special Issue for selected papers of ICDACT-2021
The link to the conference website is
March 2022
Pages 43-52
  • Receive Date: 15 August 2021
  • Revise Date: 21 December 2021
  • Accept Date: 02 January 2022