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

Abstract

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.

Keywords

• neutrosophic sets
• single-valued neutrosophic sets
• generalized single-valued neutrosophic approximation spaces
• rough sets
• single-valued neutrosophic relations