The theory of neutrosophic cubic sets and their applications in pattern recognition

Article type: Research Article

Authors: Ali, Mumtaz^{a; *} | Deli, Irfan^b | Smarandache, Florentin^c

Affiliations: [a] Department of Mathematics, Quaid-e-Azam University Islamabad, Pakistan | [b] Muallim Rıfat Faculty of Education, Kilis 7 Aralık University, Kilis, Turkey | [c] University of New Mexico, Gallup, New Mexico, USA

Correspondence: [*] Corresponding author. Mumtaz Ali, Department of Mathematics, Quaid-e-Azam University Islamabad, Pakistan. Tel./Fax:+92 3340078958; E-mail: [email protected].

Abstract: In this study, we presented concept of neutrosophic cubic set by extending the concept of cubic set to neutrosophic set. We also defined internal neutrosophic cubic set (INCS) and external neutrosophic cubic set (ENCS). Then, we proposed some new type of INCS and ENCS is called 13-INCS (or 23-ENCS), 23-INCS (or 13-ENCS). Then we study some of their relevant properties. Finally, we introduce an adjustable approach to NCS based decision making by similarity measure and an illustrative example is employed to show that they can be successfully applied to problems that contain uncertainties.

Keywords: Cubic set, neutrosophic cubic set, internal (external) neutrosophic cubic set, decision making

DOI: 10.3233/IFS-151906

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 4, pp. 1957-1963, 2016