On single valued neutrosophic refined rough set model and its application

Article type: Research Article

Authors: Bao, Yan-Ling | Yang, Hai-Long^{; *}

Affiliations: College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, P.R. China

Correspondence: [*] Corresponding author. Hai-Long Yang, College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, P.R. China. Tel.: +86 13572106227; Fax: +86 2985310277; E-mail: [email protected].

Abstract: Neutrosophic set (NS) theory was originally established by Smarandache for handling indeterminate and inconsistent information. In this paper, we introduce single valued neutrosophic refined rough sets by combining single valued neutrosophic refined sets with rough sets and further study the hybrid model from two perspectives—constructive viewpoint and axiomatic viewpoint. We also give single valued neutrosophic refined rough sets on two universes and an available algorithm for handling multi-attribute decision making problem based on single valued neutrosophic refined rough sets on two universes. In addition, we illustrate the validity of the single valued neutrosophic refined rough set model by an example.

Keywords: Neutrosophic sets, single valued neutrosophic refined sets, rough sets, single valued neutrosophic refined rough sets, multi-attribute decision making

DOI: 10.3233/JIFS-17094

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 2, pp. 1235-1248, 2017