Efficient points in a sum of sets of alternatives
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918171635613696 |
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| author | Mifrani, Anas |
| author_facet | Mifrani, Anas |
| contents | The concept of efficiency plays a prominent role in the formal solution of decision problems that involve incomparable alternatives. This paper develops necessary and sufficient conditions for the efficient points in a sum of sets of alternatives to be identical to the efficient points in one of the summands. Some of the conditions cover both finite and infinite sets; others are shown to hold only for finite sets. Examples are provided that illustrate these results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16331 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Efficient points in a sum of sets of alternatives Mifrani, Anas Optimization and Control 90C29 The concept of efficiency plays a prominent role in the formal solution of decision problems that involve incomparable alternatives. This paper develops necessary and sufficient conditions for the efficient points in a sum of sets of alternatives to be identical to the efficient points in one of the summands. Some of the conditions cover both finite and infinite sets; others are shown to hold only for finite sets. Examples are provided that illustrate these results. |
| title | Efficient points in a sum of sets of alternatives |
| topic | Optimization and Control 90C29 |
| url | https://arxiv.org/abs/2412.16331 |