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

V. O. Groppen

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

V. O. Groppen

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Abstract

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.

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V. O. Groppen. 2005-02-05. New solution principles of multi-criteria problems based on comparison standards. https://arxiv.org/abs/math/0501357

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