Multi-Criteria Decision Making in Linguistic Values of Neutrosophic Trapezoidal Fuzzy Multi- numbers

Abstract Neutrosophic trapezoidal fuzzy multi-numbers (NTFMN) are a specific neutrosophic fuzzy multiset on a real number set that decision makers can use to represent their neutrosophic fuzzy multi-preference information. The occurrences in the NTFMN are several, with the potential of the same or memberships of truth, indeterminacy, and falsehood. Neutrosophic trapezoidal fuzzy multi-numbers(NTFMN) are a type of neutrosophic fuzzy numbers on a real number set that are used to anticipate the solution to multi-criteria decision-making situations. In this study, we begin by defining NTFMN and then develop a set of multiple-criteria decision-making issues with NTFMN alternatives. The expected value method is used to rank neutrosophic trapezoidal fuzzy multi-numbers and choose the best option. Finally, a numerical example is provided to demonstrate the method's practicality and efficiency.