Optimality conditions in uncertain vector optimization problems with variable domination structures

This paper introduces two new set less order relations based on the Minkowski difference and proposes two novel nonlinear scalarization functionals. We investigate several properties of these set less order relations and scalarization functionals, and develop a unified framework for characterizing robust strictly minimal solutions of uncertain vector optimization problems with variable domination structures. By employing the obtained properties, we establish optimality conditions for such solutions. Several of the results presented in this paper extend and generalize existing results in the recent literature.