Abstract
Today, experts are emphasizing establishing innovative ideas to cope with the complexity, imprecision, and ambiguity that exist in practical problems, together with suitable examples to elucidate their hypotheses. The neutrosophic set and its hybridizations are broadly adopted in many decision-making challenges. More researchers are working to discuss the validity of neutrosophy and its combinations in decision-making issues. In this work, we develop a new hybridized structure of neutrosophic soft set named Generalized Possibility Neutrosophic Soft Set (GPNSS) and discuss its basic properties. We define set-theoretical operations between two possibility neutrosophic soft sets and study some of their features. We also present the GPNS decision-making approach, which is based on the AND-product of GPNSS. Finally, we provide a numerical example to demonstrate how the technique may be effectively applied to the circumstances investigated.
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