Fermatean Vague Soft Set and Its Application in Decision Making

In this paper, we introduce the concept of Fermatean vague soft set and its operations, which are union, intersection, complement, subset, AND, and OR. An application of Fermatean vague soft set in decision-making according to the degree of preference is demonstrated. Fermatean vague soft set is profound, as it bridges gaps in traditional vague and soft set theories. By offering enhanced precision and flexibility, the Fermatean vague soft set provides decision-makers with a powerful tool to tackle challenges in fields like artificial intelligence, operational research, and engineering design, ultimately driving more accurate and reliable outcomes