<p>This study introduces a novel structure called the Neutrosophic Hesitant Fuzzy Soft Set (NHFSS), which integrates the advantages of neutrosophic sets, hesitant fuzzy sets, and soft set theory to provide a richer framework for modeling complex uncertainty in decision-making problems. After formally defining the algebraic operations for NHFSS, such as point, union, intersection, complement, and difference, we propose a new class of topological spaces based on this structure. The topological framework extends classical concepts like open sets, closed set, interior and closure into the neutrosophic hesitant fuzzy soft environment. To demonstrate the practicality of the proposed model, a multi-criteria decision-making problem is presented concerning academic staff evaluation. The effectiveness of the approach is compared with other neutrosophic decision-making techniques, and its flexibility in capturing indeterminacy and hesitation is discussed in depth. This work contributes both a theoretical foundation and an application framework for future studies on soft computing and uncertain systems.</p>