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Open AccessArticle

A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application

1
College of Economics, Northwest University of Political Science and Law, Xi’an 710063, China
2
College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China
*
Author to whom correspondence should be addressed.
Symmetry 2017, 9(7), 119; https://doi.org/10.3390/sym9070119
Received: 18 June 2017 / Revised: 9 July 2017 / Accepted: 11 July 2017 / Published: 17 July 2017
(This article belongs to the Special Issue Neutrosophic Theories Applied in Engineering)
In this paper, we extend the rough set model on two different universes in intuitionistic fuzzy approximation spaces to a single-valued neutrosophic environment. Firstly, based on the ( α , β , γ ) -cut relation R ˜ { ( α , β , γ ) } , we propose a rough set model in generalized single-valued neutrosophic approximation spaces. Then, some properties of the new rough set model are discussed. Furthermore, we obtain two extended models of the new rough set model—the degree rough set model and the variable precision rough set model—and study some of their properties. Finally, we explore an example to illustrate the validity of the new rough set model. View Full-Text
Keywords: neutrosophic sets; single-valued neutrosophic sets; generalized single-valued neutrosophic approximation spaces; rough sets; single-valued neutrosophic relations neutrosophic sets; single-valued neutrosophic sets; generalized single-valued neutrosophic approximation spaces; rough sets; single-valued neutrosophic relations
MDPI and ACS Style

Guo, Z.-L.; Liu, Y.-L.; Yang, H.-L. A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application. Symmetry 2017, 9, 119.

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