This paper introduces a new variant of fuzzy set called a neutrosophic fuzzy rough set, which is developed by combining both rough set and neutrosophic fuzzy set theory for optimal benefit. An effective optimization of the multi-objective quadratic transportation problem is examined, with a chance of distinct solution vectors for each objective function. This paper employs both neutrosophic fuzzy rough numbers and MOQTP to model Neutrosophic Fuzzy Rough Multi-Objective Quadratic Transportation Problem (NFRMOQTP). In addition, we present a method for solving NFRMOQTP with a numerical example, which involves transforming the model into a single-objective quadratic transportation problem by utilizing various membership functions. Further, in order to verify the suggested approach, we contrast the outcomes with existing technique and the results are discussed.
Anukokila et al. (Fri,) studied this question.