A New Approach to Neutrosophic Hypersoft Rough Sets

Abstract

The aim of this work is to introduce the new notion of Neutrosophic hypersoft rough set and study its properties. Neutrosophic hypersoft rough set is a generalization of Neutrosophic soft rough set. The notion of Neutrosophic hypersoft rough set has not been reported in the literature. The concept of Neutrosophic hypersoft approximation space is presented with illustrative examples and some of its properties are established. The notions of equality, reduct and core among Neutrosophic hypersoft rough sets are studied with suitable examples. Some directions for applications and future research in this area are also indicated.

Keywords

• hypersoft sets
• neutrosophic sets
• neutrosophic soft sets
• neutrosophic hypersoft sets
• neutrosophic hypersoft rough sets
• equality