An Enhanced Generalized Neutrosophic Number and its role in Multi-Criteria Decision-Making Challenges

Abstract

In this article, we have proposed an ordering technique for Neutrosophic numbers with non-linear functions. Consequently, the non-linear functions overcome the limitations of linear function approaches by giving an enhanced framework for handling and modeling uncertainty. Hence, this study presents the Generalized Parabolic Single Valued Neutrosophic Number (GPSVNN) to address the uncertainties in Multi-Criteria Decision-Making (MCDM) circumstances. GPSVNN can handle uncertainty and perform arithmetic operations to deal with MCDM through the (α, β, γ)-cut technique. The computation of the (α, β, γ)-cut of the neutrosophic number is reduced by defining the ”value” and ”ambiguity.” As a result, it becomes more systematic when the complicated computations using the (α, β, γ)-cut approach are carried out. A novel ordering approach has been developed in this study by incorporating the “value” and “ambiguity” of GPSVNN. Finally, we have given an example using GPSVNN in a life satisfaction survey to show its applicability.

Keywords

• generalized parabolic single valued neutrosophic number
• arithmetic operators
• multi-criteria decision making problem