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On some optimality principles in multicriterial problems
Authors:N M Popov
Abstract:We state two interpretations of an approximate solution of multicriterial problems: the concept of approximation with respect to a functional and approximation with respect to the argument of the set of Pareto-optimal strategies. We give propositions that justify numerical search for such approximations. In relation to these interpretations of the approximation of the set of Pareto-optimal strategies we study questions of the stability of multicriterial problems to computational errors. Bibliography: 14 titles. Translated fromMetody Matematicheskoi Fiziki, 1998, pp. 217–224.
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