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

Authors

  • Alkan Özkan 1Department of Mathematics, Faculty of Arts and Sciences, IÄŸdır University, IÄŸdır, Turkey
  • Åžeyda Yazgan Ahmet Ali Dönmez Anatolian High School, IÄŸdır, Turkey
  • Sandeep Kaur Department of Mathematics, Akal University, Talwandi Sabo, Bathinda, India

Keywords:

Neutrosophic soft sets; Neutrosophic soft topology; Neutrosophic soft generalized sets; Neutrosophic soft generalized b-closed (open) sets; Neutrosophic soft generalized b-closure (interior); Neutrosophic soft point; Neutrosophic soft generalized bneighborhood

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

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Published

2023-07-01

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Alkan Özkan, Şeyda Yazgan, & Sandeep Kaur. (2023). Neutrosophic Soft Generalized b-Closed Sets in Neutrosophic Soft Topological Spaces. Neutrosophic Sets and Systems, 56, 48-69. http://fs.unm.edu/nss8/index.php/111/article/view/3149