Document Type : Research Paper


Department of Mathematics, Science College, Kokrajhar-783370, Assam, India.



In real life situations, there are many issues in which we face uncertainties, vagueness, complexities and unpredictability. Neutrosophic sets are a mathematical tool to address some issues which cannot be met using the existing methods. Neutrosophic soft matrices play a crucial role in handling indeterminant and inconsistent information during decision making process. The main focus of this article is to discuss the concept of neutrosophic sets, neutrosophic soft sets and neutrosophic soft matrices theory which are very useful and applicable in various situations involving uncertainties and imprecisions. Thereafter our intention is to find a new method for constructing a decision matrix using neutrosophic soft matrices as an application of the theory. A neutrosophic soft matrix based algorithm is considered to solve some problems in the diagnosis of a disease from the occurrence of various symptoms in patients. This article deals with patient-symptoms and symptoms-disease neutrosophic soft matrices. To come to a decision, a score matrix is defined where multiplication based on max-min operation and complementation of neutrosophic soft matrices are taken into considerations.


Main Subjects

[1]     Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8, 338-353.

[2]     Atanassov, K. (2016). Intuitionistic fuzzy sets. International journal bioautomation, 20(1), 87-96.

[3]     Molodtsov, D. (1999). Soft set theory—first results. Computers & mathematics with applications37(4-5), 19-31.

[4]     Maji, P. K. Biswas, R., & Roy, A. R. (2001). Fuzzy soft sets. Journal of fuzzy mathematics9(3), 589-602.

[5]     Maji, P. K., Biswas, R., & Roy, A. R. (2003). Soft set theory. Computers & mathematics with applications45(4-5), 555-562.

[6]     Maji, P. K. (2009, December). More on intuitionistic fuzzy soft sets. International workshop on rough sets, fuzzy sets, data mining, and granular-soft computing (pp. 231-240). Berlin, Heidelberg: Springer.

[7]     Smarandache, F. (2018). Extension of soft set to hypersoft set, and then to plithogenic hypersoft set. Neutrosophic sets syst22, 168-170.

[8]     Smarandache, F. (2019). Neutrosophic set is a generalization of intuitionistic fuzzy set, inconsistent intuitionistic fuzzy set (picture fuzzy set, ternary fuzzy set), pythagorean fuzzy set, spherical fuzzy set, and q-rung orthopair fuzzy set, while neutrosophication is a generalization of regret theory, grey system theory, and three-ways decision (revisited). Journal of new theory, (29), 1-31.

[9]     Vellapandi, R., & Gunasekaran, S. (2020). A new decision making approach for winning strategy based on muti soft set logic. Journal of fuzzy extension and applications1(2), 119-129.

[10] Maji, P. K. (2013). Neutrosophic soft sets. Annals of fuzzy mathematics and informatics, 5(1), 157-168.

[11] Maji, P. K. (2012). A neutrosophic soft set approach to a decision making problem. Annals of fuzzy mathematics and informatics3(2), 313-319.

[12] Deli, I., & Broumi, S. (2015). Neutrosophic soft matrices and NSM-decision making. Journal of intelligent & fuzzy systems28(5), 2233-2241.

[13] Das, S., Kumar, S., Kar, S., & Pal, T. (2019). Group decision making using neutrosophic soft matrix: An algorithmic approach. Journal of king saud University-computer and information sciences31(4), 459-468.

[14] Kumar Das, S. (2020). Application of transportation problem under pentagonal neutrosophic environment. Journal of fuzzy extension and applications1(1), 27-41.