Inception of Neutrosophic Pythagorean Supra Topological Space \(\left( {{\mathcal{N}}_{{{\mathfrak{P}\mathfrak{S}\mathfrak{T}}}} } \right)\) concept was initiated. Neutrosophic sets and their associated logics are deemed as crucial components within the realm of approximation theory, denoting a growth of intuitionistic fuzzy sets and conventional fuzzy set. In the initial section, a comprehensive discussion was engaged in concerning the fundamentals of neutrosophic sets, neutrosophic Pythagorean sets, and conceptualization of the \({\mathcal{N}}_{{{\mathfrak{P}\mathfrak{T}\mathfrak{G}}}}\) . These similar tactical techniques were then applied to the application of multiple attribute decision-making approaches, one of which involved a Neutrosophic Pythagorean set.