Soft Sets and Hybrid Soft Sets: A Systematic Review of Methodologies, Applications, and Advancements

This systematic review critically examines the foundational concepts, methodologies, and applications of soft and hybrid soft sets, two innovative mathematical frameworks. Initially introduced as a generalization of classical sets, soft sets encapsulate uncertainty and vagueness in decision-making processes. Hybrid soft sets, an extension of soft sets, combine multiple mathematical structures to enhance their versatility. This review synthesizes existing literature, providing an in-depth analysis of the theoretical underpinnings, computational approaches, and diverse applications of soft sets and hybrid soft sets. The exploration encompasses their role in solving real-world problems, implications for decision support systems, and potential avenues for future research. By consolidating and evaluating the current state of knowledge, this review contributes to a deeper understanding of these emerging mathematical models.