The Theoretical Framework on Approximation of Neutrosophic Numbers and Their Application

Neutrosophic sets are effectual logic represented to understand ambiguous and inconsistent infor mation. They are frequently used to explain many types of partial or incomplete information. Researchers have given much attention to the decision-making theory and its associated methodologies based on uncertain linguistic factors. This article emphasizes the novel neutrosophic number approximations to handle linguistic variables and their application in multiple-attribute decision-making. Different approximation techniques are introduced in neutrosophic sets, but substantial data loss may occur. Hence, a hexagonal neutrosophic number was proposed to deal with information loss during approximation. Also, the comparison study with existing techniques is explored to show the effectiveness of the proposed approximation. The expected interval criterion was retained although an approximation was made to give more desirable features. An MCDM (Multi-Criteria Decision Making) problem is presented to demonstrate efficiency and simplicity with uncertain parameters.