Solving multi-level multiobjective fractional programming problem with rough interval parameter in neutrosophic environment

In this study, a novel algorithm is developed to solve the multi-level multiobjective fractional programming problems, using idea of neutrosophic fuzzy set. The co-efficients in each objective functions assumed be rough intervals. Furthermore, are transformed into two sub-problems based on lower and upper approximation marginal evaluation pre-determined goals for all at level achieved by different membership functions, such as truth, indeterminacy/neutral, falsity degrees uncertainty. addition, goal proposed attain highest reducing their deviational variables consequently obtain optimal solution decision-makers levels. To verify validate techniques, numerical example adressed hierarchical decision-making environment along with conclusions.