By extending the idea of the cubic set, this research study introduces a challenge associated with Neutrosophic Cubic Sets (NCS). We investigate both the ENCS (External Neutrosophic Cubic Set) and INCS (Internal Neutrosophic Cubic Set) properties. Our objective is to show that these sets may successfully deal with problems involving uncertainties. To do this, we suggest a decision-making method that can be adjusted using NCS and a similarity measure. To demonstrate how our strategy works in practice, we offer an example situation. The suggested methodology is specifically made to handle uncertain and ambiguous knowledge that is a common problem in many different real-world scenarios. It uses Neutrosophic cubic sets to describe the levels of informational accuracy, falsehood, and uncertainty. To estimate the similarities between Neutrosophic cubic sets, similarity metrics are also used. This method is used in the context of image segmentation to separate a picture into distinct sections based on its texture features. We show the usefulness of our suggested technique in managing unclear and ambiguous information by the outcomes of our experiments. A technique with use a different method in simulation of decision-making that entail uncertainty and ambiguity.

Keywords : Cubic Set  Neutrosophic Cubic Set  Internal Neutrosophic Cubic Set  External Neutrosophic Cubic Set  Decision Making.