Neutrosophic λ-Closed Set and Related Mappings in Neutrosophic Topological Spaces
Year: 2025
Type: article
Abstract: Studying open and closed set variations is crucial in neutrosophic topology, given the growing significance of neutrosophic sets in various applications. This study introduces neutrosophic 𝜆-closed sets, generalizing neutrosophic closed and pre-closed sets within neutrosophic topological spaces. Their fundamental properties are examined alongside comparisons with various existing neutrosophic sets. To illustrate their significance, we define neutrosophic 𝜆-continuous mapping, neutrosophic 𝜆-closed mapping, and neutrosophic 𝜆-𝑇1/2 spaces, exploring their connections with established mappings. Additionally, new concepts such as neutrosophic-𝑤-continuous, neutrosophic-𝑤-closed, neutrosophic-G𝛼-closed, and neutrosophic-𝛼G-closed mappings are proposed to further enrich neutrosophic topological spaces. Several theorems and counterexamples validate these findings and highlight their theoretical significance.
Authors: Shivangi Tyagi, Mridul Kumar Gupta
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W6949147121
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