New solution principles of multi-criteria problems based on comparison standards
Optimization and Control
2007-05-23 v3
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.
Cite
@article{arxiv.math/0501357,
title = {New solution principles of multi-criteria problems based on comparison standards},
author = {V. O. Groppen},
journal= {arXiv preprint arXiv:math/0501357},
year = {2007}
}
Comments
12 pages, 2 figures