Neutrosophic soft matrices and NSM-decision making

Article type: Research Article

Authors: Deli, Irfan^{a; *} | Broumi, Said^b

Affiliations: [a] Muallim Rıfat Faculty of Education, Kilis 7 Aralık University, Kilis, Turkey | [b] Administrator of Faculty of Arts and Humanities, Hay El Baraka Ben M’sik Casablanca B.P. 7951, Hassan II, University Mohammedia-Casablanca, Morocco

Correspondence: [*] Correspondence author: Irfan Deli, Muallim Rıfat Faculty of Education, Kilis 7 Aralık University, 79000 Kilis, Turkey. Tel.: +905426732708; Fax: +903488142663; [email protected]

Abstract: In this paper, we have firstly redefined the notion of neutrosophic soft set and its operations in a new way to handle the indeterminate information and inconsistent information which exists commonly in belief systems. Then, we defined neutrosophic soft matrix and their operators which are more functional to make theoretical studies and application in the neutrosophic soft set theory. The matrix is useful for storing a neutrosophic soft set in computer memory which are very useful and applicable. We finally construct a decision making method, called NSM-decision making, based on the neutrosophic soft sets.

Keywords: Soft sets, soft matrices, neutrosophic sets, neutrosophic soft sets, neutrosophic soft matrix, NSM-decision making

DOI: 10.3233/IFS-141505

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 5, pp. 2233-2241, 2015