On a conjecture with implications for multicriteria decision making
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915776559054848 |
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| author | Mifrani, Anas |
| author_facet | Mifrani, Anas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05180 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a conjecture with implications for multicriteria decision making Mifrani, Anas Optimization and Control 90C29, 91B06 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. |
| title | On a conjecture with implications for multicriteria decision making |
| topic | Optimization and Control 90C29, 91B06 |
| url | https://arxiv.org/abs/2502.05180 |