title: Search for efficient solutions of multi-criterion problems by target-level method
abstract: The target-level method is considered for solving continuous multi-criterion maximization problems. In the first step, the decision-maker specifies a target-level point (the desired criterion values); then in the set of vector evaluations we seek points that are closest to the target point in the Chebyshev metric. The vector evaluations obtained in this way are in general weakly efficient. To identify the efficient evaluations, the second step maximizes the sum of the criteria on the set generated in step 1. We prove the relationship between the evaluations and decisions obtained by the proposed procedure, on the one hand, and the efficient (weakly efficient) evaluations and decisions, on the other hand. If the Edgeworth-Pareto hull of the set of vector evaluations is convex, the set of efficient vector evaluations can be approximated by the proposed method
keyphrases: multi-criterion problems target-level method continuous multi-criterion maximization problems target-level point Chebyshev metric Edgeworth-Pareto hull