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Nonessential objectives and redundant objectives in multiple criteria decision making problems

Agnieszka B. Malinowska


The question of obtaining well-defined criteria for multiple criteria decision making problems is well-known. In this paper we consider two approaches dealing with this question: nonessential objective functions and redundant objective functions. A certain objective function is called nonessential if the set of efficient solutions is the same both with or without that objective function, whereas is called redundant if it is not in conflict with any other objective. The aim of this paper is to establish relations between two concepts and to show some facts common for these concepts.


multiple criteria decision making problem, multiobjective programming, efficient (Pareto-optimal) solutions, nonessential objectives, redundant objectives

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