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

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 significance. 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 offering a robust tool for real world decision-making under uncertainty.