arXiv Open Access 2025

On a conjecture with implications for multicriteria decision making

Anas Mifrani

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Abstrak

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.

Topik & Kata Kunci

math.OC

Penulis (1)

Anas Mifrani

Format Sitasi

APA MLA BibTeX

Mifrani, A. (2025). On a conjecture with implications for multicriteria decision making. https://arxiv.org/abs/2502.05180

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓