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

designers draw diagrams to think about architectural concepts and design concerns. scientists are interested in programming computers to recognize and interpret design diagrams to deliver appropriate tools for the design task at hand. researchers conducted empirical studies to find out if designers share drawing conventions when designing. the experiment results show that designers use differen...

We provide axiomatic characterizations of two natural families of rules for aggregating equivalence relations: the family of join aggregators and the family of meet aggregators. The central conditions in these characterizations are two separability axioms. Disjunctive separability, neutrality, and unanimity characterize the family of join aggregators. On the other hand, conjunctive separability...