Neutrosophic Soft Generalized b-Closed Sets in Neutrosophic Soft Topological Spaces

Abstract

The notion of neutrosophic soft generalized sets is introduced as a general mathematical tool that incorporates useful properties of both neutrosophic generalized sets and soft sets. In this study, we acquaint the notion of neutrosophic soft generalized b-closed (open) (gb, in short) sets in neutrosophic soft topological spaces. In addition, the relations of this set with other neutrosophic soft closed and open sets and various properties are examined. Furthermore, the properties of the gb-closure and gb-interior operator in neutrosophic soft sets and gb-neighborhood in neutrosophic soft topological spaces are investigated.

Keywords

• neutrosophic soft sets
• neutrosophic soft topology
• neutrosophic soft generalized sets
• neutrosophic soft point