On Nano Semi Generalized B - Neighbourhood in Nano Topological Spaces

Objectives: The primary objective of this study is to define and look into the neighbourhood, adherent points, and derived set in nano topological spaces for Nano semi generalized b (Nsgb) (closed/open) set, Further a real life application is examined using nano topology. Methods: The definition of Nsgb-closed (open) sets is used to define the Nsgb-neighbourhood, Nsgbadherent points, Nsgb-derived set. In addition, the indiscernibility equivalence class, which provide the core upon the basis of nano topology. Findings: The properties of Nsgb-neighbourhood, Nsgb-adherent points and Nsgb-derived set for nano semi generalized b-set in a nano topological space are analyzed and discussed theorem on it. Using the attribute reduction in a complete information system, the key factor is identified for the causes of hair fall. Novelty: The characteristics of Nsgb-neighbourhood, Nsgb-adherent points, Nsgb-derived set are given. The application of nano topology is provided to the real life situation.

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Publication Details

Journal
Applied Mathematics and Sciences An International Journal (MathSJ)
Published
2025-03-28
DOI
https://doi.org/10.5121/mathsj.2025.12103
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

On Nano Semi Generalized B - Neighbourhood in Nano Topological Spaces

T Indira, K Kavipriya
Applied Mathematics and Sciences An International Journal (MathSJ)
Fuzzy and Soft Set Theory
article

On Nano Semi Generalized B - Neighbourhood in Nano Topological Spaces

T Indira, K Kavipriya
article en

Abstract

Objectives: The primary objective of this study is to define and look into the neighbourhood, adherent points, and derived set in nano topological spaces for Nano semi generalized b (Nsgb) (closed/open) set, Further a real life application is examined using nano topology. Methods: The definition of Nsgb-closed (open) sets is used to define the Nsgb-neighbourhood, Nsgbadherent points, Nsgb-derived set. In addition, the indiscernibility equivalence class, which provide the core upon the basis of nano topology. Findings: The properties of Nsgb-neighbourhood, Nsgb-adherent points and Nsgb-derived set for nano semi generalized b-set in a nano topological space are analyzed and discussed theorem on it. Using the attribute reduction in a complete information system, the key factor is identified for the causes of hair fall. Novelty: The characteristics of Nsgb-neighbourhood, Nsgb-adherent points, Nsgb-derived set are given. The application of nano topology is provided to the real life situation.

Applied Mathematics and Sciences An International Journal (MathSJ)Vol. 12(1)
Bharathidasan University (IN)
Openalex Percentile: Top 91%
Fuzzy and Soft Set Theory
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