Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.16511 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909301876981760 |
|---|---|
| author | Cuong, Nguyen Duy Kruger, Alexander Y. Thao, Nguyen Hieu |
| author_facet | Cuong, Nguyen Duy Kruger, Alexander Y. Thao, Nguyen Hieu |
| contents | The paper proposes another extension of the extremal principle. A new extremality model involving collections of arbitrary families of sets is studied. It generalizes the conventional model based on linear translations of given sets as well as its set-valued extensions. This approach leads to a more general and simpler version of fuzzy separation. The new model is capable of treating a wider range of optimization and variational problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16511 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extremality of families of sets Cuong, Nguyen Duy Kruger, Alexander Y. Thao, Nguyen Hieu Optimization and Control The paper proposes another extension of the extremal principle. A new extremality model involving collections of arbitrary families of sets is studied. It generalizes the conventional model based on linear translations of given sets as well as its set-valued extensions. This approach leads to a more general and simpler version of fuzzy separation. The new model is capable of treating a wider range of optimization and variational problems. |
| title | Extremality of families of sets |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2403.16511 |