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

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

2005-01-21

arxiv.org/abs/math/0501357v3

Mathematics

Optimization and Control

12 pages, 2 figures

Scientific paper

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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