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

The main objective of this research is to improvethe design and performance of the polyurethane foam-filled thin-walled aluminum grooved circular tubes using multi-response optimization (MRO) technique. The tubes are shaped with the inner and the outer circular grooves at different positions along the axis. For this aim, several numerical simulations using ABAQUS finite element explicit code ar...