Z-Connectedness and Z-Compactness in Neutrosophic Soft Topological Spaces and an MCDM Approach for Yarn Production Machine Selection Using Distance and Similarity Measures

Authors

  • Vijayalakshmi B Assistant Professor, Department of Mathematics, Annamalai University, Annamalai Nagar- 608002, Tamilnadu, India;
  • Madhunika S Research Scholar, Department of Mathematics, Annamalai University, Annamalai Nagar- 608002, Tamilnadu, India;

Keywords:

neutrosophic soft sets, neutrosophic soft topological spaces, Z-connected Spaces, Z-compact Spaces, Z-separated Sets.

Abstract

This study develops the concepts of Z-connectedness, Z-compactness, and Z-separated sets within
 neutrosophic soft topological spaces, establishing their essential properties and mutual relationships. The theo
retical framework is supported by illustrative examples that clarify their signi cance. To demonstrate practical
 relevance, the notions are applied to a multi-criteria decision-making problem in yarn production machine se
lection, employing distance and similarity measures. The results highlight the dual impact of the proposed
 structures: advancing the abstract theory of neutrosophic soft topology while o ering a robust tool for real
world decision-making under uncertainty.

 

DOI: 10.5281/zenodo.17088789

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Published

2026-01-25

Issue

Vol. 95 (2026): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2025 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Vijayalakshmi B, & Madhunika S. (2026). Z-Connectedness and Z-Compactness in Neutrosophic Soft Topological Spaces and an MCDM Approach for Yarn Production Machine Selection Using Distance and Similarity Measures. Neutrosophic Sets and Systems, 95, 307-327. https://fs.unm.edu/nss8/index.php/111/article/view/7244