This paper aims to find a solution of interval uncertainty to multiobjective variational problems.For this, we consider an interval-valued multiobjective variational problem.Then, by using the modified F-objective function method, we construct associated interval-valued multiobjective variational Drinks problem with the modified F-objective functions.We establish a relationship between LU-pareto optimal solution of original problem and its associated modified problem by using the concept of LU-F-convexity and LU-F-pseudoconvexity.Further, we Soft Toy define LU-Lagrange function and its saddle point to discuss the efficient solution of original problem through it.
We provide an example to validate our results numerically.