A multiobjective optimization problem is considered in a general formulation. It is well known that the solution of the problem is not unique and represented in the objective space by a Pareto frontier. In an engineering design it can be important to provide a discrete representation of the entire Pareto surface. Meanwhile, the obtaining of a single Pareto solution may be time-consuming. Moreov...

Abstract Given a vector optimization problem over spaces endowed with topological linear structure, existence results for optima (efficient points) are known. Relying only on the set of properly efficient points from convex is proved to be nonempty and sets Proper Pareto coincide, provided that internal picked corresponding cone nonempty. This result appealing since scalarization valid without ...

We first confirm the notions of Pareto optimality, superiority, and inefficiency. Then, we discuss a definition of the measure of Pareto superiority. keyword Pareto superiority/inferiority, Nash equilibrium, Wardrop equilibrium