New solution principles of multi-criteria problems based on comparison standards

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Proposed is a new formal approach for solution of extreme multi-criteria problems transforming them into single-criterion mathematical models, without any additional information. Transforming rules are based on comparison standards and intervals between these standards and goal function values, corresponding to problem solution. Pareto-optimality of these solutions is proved by a number of theorems. Examples illustrating efficiency and universality of this approach are presented.
12 pages, 2 figures

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Optimization and Control, 90C29(Primary); 90C46, 49K27(Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/73919

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501357
 http://arxiv.org/abs/math/0501357

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arXiv