Sum, Subspace and Simple Extension of Invertible Neutrosophic Topological Spaces

In this paper, we investigate several fundamental constructions associated with Invertible Neutrosophic Topological Spaces (INTSs). In particular, we study the sum, subspace, and simple extension of INTSs and establish conditions under which these constructions preserve invertibility. The relationships between an invertible neutrosophic topology and the corresponding structures induced on its subspaces and extensions are examined. The results obtained provide further structural insights into INTSs and contribute to the development of their theory through fundamental topological constructions.

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Publication Details

Journal
Neutrosophic sets and systems
Published
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23753216
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Sum, Subspace and Simple Extension of Invertible Neutrosophic Topological Spaces

Shifna M. K., Anjaly Jose
Neutrosophic sets and systems
Fuzzy and Soft Set Theory
article

Sum, Subspace and Simple Extension of Invertible Neutrosophic Topological Spaces

Shifna M. K., Anjaly Jose
article en

Abstract

In this paper, we investigate several fundamental constructions associated with Invertible Neutrosophic Topological Spaces (INTSs). In particular, we study the sum, subspace, and simple extension of INTSs and establish conditions under which these constructions preserve invertibility. The relationships between an invertible neutrosophic topology and the corresponding structures induced on its subspaces and extensions are examined. The results obtained provide further structural insights into INTSs and contribute to the development of their theory through fundamental topological constructions.

Neutrosophic sets and systems
University of Calicut (IN)
Openalex Percentile: Top 9%
Fuzzy and Soft Set Theory
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