Application of the Λ-Monotonicity to the Search for Optimal Solutions in Higher-Dimensional Problems

Resumo

The notion of Pareto optimality is widely used for solving many practical problems. The notion of Λ-optimality is a generalization of the Pareto optimality; the set of Λ-optimal solutions can be either wider or narrower than the set of Pareto-optimal solutions. In this paper, we generalize some results for Λ-optimal target functions obtained earlier, introduce the notion of a critical set of Λ-optimal solutions, and discuss certain approaches to construction of optimal solutions.