On a conjecture with implications for multicriteria decision making
Optimization and Control
2026-02-06 v3
Abstract
I prove Richard Soland's conjecture that for an efficient solution to a multicriteria optimization problem, there need not exist a continuous, strictly increasing and strictly concave criterion space function that attains its maximum at the vector of criteria values achieved by that solution. I work out an important implication of this result for multicriteria decision making.
Cite
@article{arxiv.2502.05180,
title = {On a conjecture with implications for multicriteria decision making},
author = {Anas Mifrani},
journal= {arXiv preprint arXiv:2502.05180},
year = {2026}
}